HOLLOW
STRUCTURAL
SECTIONS
Column Load Tables
OF NORTH AMERICA
HSS Manufacturing Methods
The transformation of steel strip into hollow structural sections (HSS) is the result of operations including forming, welding and sizing. Currently
three methods are being used in North America for the manufacture of HSS. These methods, including two ERW methods and an SAW method, are
described below. Both ERW methods meet ASTM A 500 and CSA G-40.21 requirements for the manufacture of HSS, and the ERW sizes included in
this publication may be produced to either standard. The SAW method is not included as a manufacturing process in the ASTM or CSA specification.
SAW sizes listed in this publication can be specified to meet desired physical and dimensional criteria of ASTM A500 and CSA G-40.21
5 6 7
Electric Resistance Welding (ERW) Process
In the tube mill, flat steel strip (1) is formed continuously around its
longitudinal axis to produce a round tube. This is done by moving the
strip through a progressive set of rolls (2-6). The strip edges (7) are
heated by either high frequency induction or contact welding and then
forged together by weld rolls to create a continuous longitudinal weld
without the addition of filler metal. The weld seam (8) is then cooled
and processed through a set of sizing/shaping rolls which cold-form it
into a round (9), square (10) or rectangular (11) section.
4
3
2
1
8
9
Form-Square Weld-Square (ERW) Process
In the weld mill, driven forming dies progressively shape the flat strip
(1) by forming the top two corners (2) of the square or rectangular tube
in the initial forming station. Subsequent stations form the bottom two
corners (3) of the shape. No cold working of the sides of the shape is
performed, and the shape’s seam is welded by high-frequency contacts
when the tube is near its final shape and size. The welded tube (4) is
cooled and then driven through a series of sizing stations which qualifies
the tube’s final dimensions.
10
4
1
2
3
3
Submerged Arc Weld (SAW) Process
Two identical pieces of flat strip (1) are placed in a press brake and
formed into two identical halves (2) of a finished tube size. A backup bar
is tack welded to each leg of one of the half-sections (3). The two halfsections are fitted together toe-to-toe (4) and welded by the submerged
arc process to complete the square or rectangular section (5).
2
5
1
2
11
2
3
4
2
1
1
STI/HSS Member Companies
Atlas Tube, Inc.
200 Clark Street, P.O. Box 970
Harrow, Ontario N0R 1G0
Telephone: (519) 738-3541
(800) 265-6912
Fax: (519) 738-3537
IPSCO Tubulars Inc.
P.O. Box 18, 2011 7th Avenue
Camanche, IA 52730
Telephone: (563) 242-0000
(800) 950-4772
Fax: (563) 242-9137
Bull Moose Tube Company
1819 Clarkson Road, Suite 100
Chesterfield, MO 63017
Telephone: (636) 537-2600
(800) 325-4467
Fax: (636) 537-5848
LTV Copperweld
1855 East 122nd Street
Chicago, IL 60633
Telephone: (800) 733-5683
Fax: (773) 646-6128
(In Canada)
14 Holtby Avenue
Brampton, Ontario
Canada L6X 2M3
Telephone: (905) 451-2400
(800) 268-3005
Fax: (905) 840-4716
Eugene Welding Company
P.O. Box 249
Marysville, MI 48040
Telephone: (810) 364-7421
(800) 336-3926
Fax: (810) 364-4347
Hanna Steel Corporation
P.O. Box 558, Fairfield, AL 35064
Telephone: (205) 780-1111
(800) 633-8252
Fax: (205) 783-8296
Hannibal Industries, Inc.
P.O. Box 58814, 3851 Santa Fe Ave.
Los Angeles, CA 90058
Telephone: (323) 588-4261
Fax: (323) 589-5640
Independence Tube Corporation
6226 W. 74th Street
Chicago, IL 60638-6196
Telephone: (708) 496-0380
(800) 376-6000
Fax: (708) 563-1950
Maverick Tube Corporation
16401 Swingley Ridge Road,
Suite 700
Chesterfield, MO 63017
Telephone: (314) 733-1600
(800) 840-8823
Fax: (314) 733-1677
Novamerican Steel Inc.
2175 Hymus Boulevard
Dorval, Quebec, Canada H9P 1J8
Telephone: (514) 335-6682
(800) 361-1496
Fax: (514) 683-5285
(In United States)
600 Dean Sievres Place
Morrisville, PA 19067
Telephone: (215) 295-8813
Fax: (215) 295-8798
OF NORTH AMERICA
3
Productos Laminados
de Monterrey, SA de CV
Headquarters & Monterrey Plant
Ave. Lazaro Cardenas 1525 Pte.
Col. Nino Artillero
Monterrey, N.L. Mexico C.P. 64280
Telephone: (8) 351-1625
(8) 351-1070
Fax: (8) 351-0322
(U.S. Office)
Prolamsa, Inc.
12603 SW Freeway, Suite 521
Stafford, TX 77477
Telephone: (281) 494-0900
Fax: (281) 494-0990
Valmont Industries
(Structural Tube Division)
P.O. Box 2620
Tulsa, OK 74101
Telephone: (918) 583-5881
(800) 331-3002
Fax: (918) 585-1927
Vest, Incorporated
6023 Alcoa Avenue
Los Angeles, CA 90058
Telephone: (323) 581-8823
(800) 421-6370
Fax: (323) 581-3465
Welded Tube of Canada Limited
111 Rayette Road
Concord, Ontario,
Canada L4K 2E9
Telephone: (905) 669-1111
(800) 565-8823
Fax: (905) 738-4070
Foreword
Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections (HSS) manufactured by the electric resistance welding (ERW) method and for square and rectangular HSS manufactured by the submerged arc welding (SAW)
method. Tables of allowable stresses for compression members of 42 ksi to 70 ksi specified minimum yield stress are also included.
The allowable axial compressive loads, in kips, and the allowable axial compressive stresses, in ksi, have been calculated in accordance with the
1989 “Specification for Structural Steel Buildings - Allowable Stress Design and Plastic Design” published by the American Institute of Steel
Construction. The allowable loads are based upon section property data for HSS that were recalculated in 1996 to account for today’s more precise
manufacturing methods. Recalculated section property data for HSS is published in “Hollow Structural Sections - Dimensions and Section Properties”
available from the Steel Tube Institute of North America.
Tables for square and rectangular HSS are presented for Fy = 46 ksi and for Fy = 50 ksi. Separate tables are used for HSS sizes produced by the
ERW and SAW manufacturing methods.
Tables for round HSS are presented for Fy = 42 ksi, Fy = 46 ksi, and Fy = 50 ksi. Only round sizes produced by the ERW manufacturing method
are included.
The allowable axial loads have been calculated for effective lengths, KL, with respect to the least radius of gyration (r or ry) varying from 0 to 40
feet. AlSC “Specification” Appendix B5.2 is used to calculate the allowable loads for members with slender elements. These members are identified in
the tables with an asterisk (*) immediately following the design wall thickness parameter.
The properties at the bottom of the tables are useful for determining column strength with respect to the major axis and for the design of columns
subject to combined axial and bending loads.
Refer to part 3, Column Design, in the AISC 9th Edition “Manual of Steel Construction” for a discussion of effective length, strength about the
major axis, and combined axial and bending loading (interaction). Symbols in these tables follow those used in the AISC “Manual”.
The tabulated values of allowable axial compressive stresses on pages 124 through 126, are calculated in accordance with
the requirements of AISC “Specification” Chapter E, Formulae (E2-1) and (E2-2).
The information presented in this publication has been prepared in accordance with recognized engineering principles and is for general information only.While it is
believed to be accurate, this information should not be used or relied upon for any specific application without competent professional examination and verification of its
accuracy, suitability, and applicability by a licensed professional engineer, designer, or architect.The publication of the material contained herein is not intended as a
representation or warranty on the part of The Steel Tube Institute of North America or of any other person named herein, that this information is suitable for any general
or particular use or of freedom from infringement of any patent or patents. Anyone making use of this information assumes all liability arising from such use.
Caution must be exercised when relying upon other specifications and codes developed by other bodies and incorporated by reference herein since such material may be
modified or amended from time to time subsequent to the printing of this edition.The Institute bears no responsibility for such material other than to refer to it and
incorporate it by reference at the time of the initial publication of this edition.
Table of Contents
Page
Page
How to Use the Column Load Tables ……………………… 5
Round HSS (ERW) Fy = 42 ksi …………………………… 78
Round HSS (ERW) Fy = 46 ksi ……………………………93
Round HSS (ERW) Fy = 50 ksi ………………………… 108
Column Load Tables:
Square HSS (ERW)
Rectangular HSS (ERW)
Fy = 46 ksi ………………… 6
Fy = 46 ksi …………………14
Square HSS (ERW)
Rectangular HSS (ERW)
Fy = 50 ksi ………………… 36
Fy = 50 ksi …………………44
Square HSS (SAW)
Rectangular HSS (SAW)
Fy = 46 ksi …………………67
Fy = 46 ksi …………………69
Square HSS (SAW)
Rectangular HSS (SAW)
Fy = 50 ksi …………………72
Fy = 50 ksi …………………74
Allowable Stress Tables
Fy=42 ksi ………………………………………………… 124
Fy=46 ksi ………………………………………………… 124
Fy=50 ksi ………………………………………………… 125
Fy=60 ksi ………………………………………………… 125
Fy=65 ksi ………………………………………………… 126
Fy=70 ksi ………………………………………………… 126
“Designs for
the 21st Century”
4
How To Use The Column Load Tables
Example I
Example III
Select the lightest 8-inch square ERW HSS column of Fy = 46 ksi
(ASTM A500 Gr. B) to support a concentrated axial compressive
load of 152 kips. The largest effective length, KL, is 20 feet.
Select the lightest 10-inch x 6-inch rectangular ERW HSS column
of Fy = 50 ksi (ASTM A500 Gr. C) to support a concentrated axial
compressive load of 220 kips. The effective length, KL, with respect
to the minor axis is 16 feet. The effective length, KL, with respect to
the major axis is 30 feet.
Enter the Fy = 46 ksi table (page 8) for the 8-inch square ERW HSS.
Read across the row at KL = 20 and note the following:
8 x 8 x 5/8
x 1/2
x 3/8
x 5/16
x 1/4
can carry 296 kips
can carry 247 kips
can carry 193 kips
can carry 163 kips
can carry 133 kips
Enter the Fy = 50 ksi table (page 51) for the 10-inch x 6-inch
rectangular ERW HSS. Read across the row at KL = 16 and note the
following:
> 152 kips - O.K.
> 152 kips - O K.
> 152 kips - O.K
> 152 kips - O.K.
< 152 kips - No Good
10 x 6 x 5/8
x 1/2
x 3/8
can carry 305 kips
can carry 256 kips
can carry 200 kips
> 220 kips - O.K.
> 220 kips - O.K.
< 220 kips - No Good
Select: 8 x 8 x 5/16 HSS (Weight = 31.84 lbs./ft.)
Tentatively select: 10 x 6 x 1/2
rx / ry= 1.49
Example II
Equivalent effective length for the major axis:
30 / 1.49 = 20.1 ft. > 16 ft. Therefore major axis governs.
Select the lightest square ERW HSS column of Fy = 46 ksi
(ASTM A500 Gr. B) to support a concentrated axial compressive
load of 120 kips. The largest effective length, KL, is 14 feet.
Enter the same table, read across the row at KL = 20.1 and note
the following:
Enter the Fy = 46 ksi tables for square HSS. Read across the
rows at KL = 14 and note the following:
10 x 6 x 5/8 can carry 229 kips (interpolated) > 220 kips
rx / ry= 1.50 - O.K.
5 x 5 x 1/2 can carry 125 kips > 120 kips - O.K.
(Weight = 28.43 lbs./ft.) (page 10)
10 x 6 x 1/2 can carry 195 kips (interpolated) < 220 kips - No Good
Final Selection: 10 x 6 x 5/8 HSS (Weight= 59.32 lbs./ft.)
5 1/2 x 5 l/2 x 3/8 can carry 124 kips > 120 kips - O.K.
(Weight = 24.93 lbs. /ft.) (page 9)
6 x 6 x 5/16 can carry 124 kips > l20 kips - O.K.
(Weight = 23.34 lbs./ft.) (page 9)
7 x 7 x l/4 can carry 130 kips > 120 kips - O.K.
(Weight = 22.42 lbs./ft.) (page 8)
8 x 8 x 1/4 can carry 158 kips > 120 kips - O.K.
(Weight = 25.82 lbs./ft.) (page 8)
9 x 9 x 3/16 can carry 129 kips > 120 kips - O.K.
(Weight = 22.18 lbs./ft.) (page 7)
Final Selection: 9 x 9 x 3/16 HSS (Weight = 22. l8 lbs./ft.)
5
HSS / Square
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
Nominal Size
16 x 16
Wall Thickness
5/8
Weight Per Foot
127.37
Effective length KL in feet
Design Wall Thickness
1/2
103.30
ERW
14 x 14
3/8
78.52
5/16
65.87
0.349*
0.291*
781
775
771
768
764
552
549
547
545
543
939
934
928
923
917
760
755
751
746
742
11
12
13
14
15
910
904
897
891
884
16
17
18
19
20
5/8
110.36
12 x 12
1/2
3/8
89.68
68.31
5/16
57.36
0.349
Fy = 46 ksi
0.291*
679
673
669
665
661
516
511
509
506
503
809
803
798
792
785
657
653
648
643
638
403
401
399
397
395
779
772
765
758
751
516
513
510
506
503
393
391
389
387
385
679
672
665
658
651
500
496
492
489
485
795
785
776
767
757
644
637
630
622
614
31
32
33
34
35
747
737
727
717
707
36
37
38
39
40
5/8
1/2
3/8
5/16
1/4
93.34
76.07
58.10
48.86
39.43
0.581
0.465
0.349
0.291*
0.233*
392
389
388
387
385
709
701
697
692
687
577
570
567
563
559
442
437
434
431
428
365
362
360
358
357
259
257
256
255
254
500
496
493
489
486
383
382
380
378
376
681
675
669
663
656
554
550
545
540
534
425
421
417
414
410
355
352
350
347
343
253
251
250
248
247
633
628
622
616
610
482
478
473
469
465
374
372
369
367
365
649
642
635
627
619
529
523
517
511
505
405
401
397
392
387
340
336
333
329
325
245
243
241
240
238
743
735
728
719
711
604
598
592
585
578
460
456
451
446
441
362
359
357
354
351
611
603
594
585
576
498
492
485
478
471
382
377
372
367
361
321
317
312
308
303
236
233
231
229
227
382
380
377
375
372
702
694
685
675
666
572
565
557
550
542
436
430
425
420
414
348
345
342
339
336
567
558
548
538
528
463
456
448
440
432
356
350
344
338
332
299
294
289
284
279
224
222
219
217
214
481
477
473
468
464
369
367
364
361
358
657
647
637
627
616
535
527
519
511
503
408
402
396
390
384
332
329
325
321
317
517
507
496
485
474
424
415
407
398
389
326
320
313
307
300
274
269
263
258
252
211
208
205
202
198
607
599
591
582
574
460
455
450
444
438
355
352
349
345
342
606
595
585
574
562
494
486
477
468
460
378
372
365
359
352
313
309
305
301
296
462
451
439
427
415
380
371
361
351
342
293
286
279
272
264
247
241
235
229
223
195
191
188
184
180
696
685
674
663
652
566
557
548
540
531
432
426
419
412
406
338
335
331
327
324
551
539
528
516
504
450
441
432
422
413
345
338
331
324
317
291
285
279
273
267
402
389
376
363
350
332
322
311
301
290
257
249
241
234
225
217
210
204
197
191
176
171
165
160
155
35.0
28.3
21.5
18.1
30.3
18.7
15.7
20.9
16.0
13.4
10.8
0.581
0.465
418
416
415
414
412
836
828
824
819
814
541
539
537
534
532
411
409
408
406
405
737
732
726
721
715
530
527
524
522
519
876
869
862
854
846
710
704
698
691
685
21
22
23
24
25
838
829
821
812
804
26
27
28
29
30
0.581
0.465
0
2
3
4
5
966
958
954
949
944
6
7
8
9
10
PROPERTIES
Area, In.2
I, In.
4
1370
1130
873
739
896
24.6
743
577
490
25.7
548
457
357
304
248
r, In.
6.25
6.31
6.37
6.39
5.44
5.49
5.55
5.58
4.62
4.68
4.73
4.76
4.79
B, Bending Factor
0.204
0.200
0.197
0.196
0.237
0.232
0.227
0.224
0.281
0.274
0.269
0.264
0.261
a ÷ 10
6
205
169
130
110
134
111
86.2
73.2
81.8
68.2
*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
6
53.3
45.4
37.0
HSS / Square
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
ERW
10 x 10
Nominal Size
9x9
Wall Thickness
5/8
1/2
3/8
5/16
1/4
3/16
1/2
3/8
5/16
1/4
Weight Per Foot
76.33
62.46
47.90
40.35
32.63
24.73
55.66
42.79
36.10
29.23
Effective length KL in feet
Design Wall Thickness
0.581
0.465
0.349
0.291
0.233*
0.174*
Fy = 46 ksi
0.465
0.349
0.291
0.233
3/16
22.18
0.174*
0
2
3
4
5
580
571
567
562
556
475
468
464
460
456
364
359
356
353
350
306
302
300
297
295
239
236
235
234
232
152
151
150
149
148
422
416
412
408
403
326
321
318
315
311
274
270
267
265
262
222
218
216
214
212
145
144
143
142
141
6
7
8
9
10
550
544
538
531
524
451
446
441
436
430
347
343
339
335
331
292
289
285
282
278
230
229
227
225
223
148
147
146
144
143
398
393
388
382
376
308
304
300
295
291
259
256
252
249
245
210
207
204
201
198
140
139
137
136
135
11
12
13
14
15
516
509
501
492
484
424
418
411
405
398
326
322
317
312
307
275
271
267
263
258
220
218
216
212
209
142
141
139
138
137
370
364
357
350
343
286
281
276
271
266
241
237
233
228
224
195
192
189
185
182
133
132
130
129
127
16
17
18
19
20
475
466
457
447
437
391
384
376
368
360
301
296
290
284
279
254
249
245
240
235
205
202
198
194
190
135
134
132
130
129
335
328
320
312
303
260
254
248
242
236
219
215
210
205
199
178
174
170
166
162
125
123
121
119
117
21
22
23
24
25
427
416
406
395
384
352
344
335
327
318
272
266
260
253
247
230
224
219
214
208
186
182
178
173
169
127
125
123
121
119
295
286
277
267
258
230
223
216
209
202
194
188
183
177
171
158
153
149
144
139
115
112
110
107
104
26
27
28
29
30
372
360
348
336
324
309
299
290
280
270
240
233
225
218
211
202
196
190
184
178
164
160
155
150
145
116
114
112
109
106
248
238
228
217
207
195
187
180
172
164
165
159
153
146
139
134
129
124
119
114
102
98
95
91
87
31
32
33
34
35
311
298
284
271
257
260
249
239
228
216
203
195
187
179
171
172
165
159
152
145
140
135
129
124
118
103
100
97
94
90
196
184
173
163
154
155
147
138
130
123
133
126
118
112
105
108
103
97
91
86
83
79
74
70
66
36
37
38
39
40
243
230
218
207
197
205
194
184
175
166
162
154
146
138
131
138
131
124
117
112
113
107
101
96
92
86
82
78
74
70
146
138
131
124
118
116
110
104
99
94
99
94
89
85
81
81
77
73
69
66
62
59
56
53
51
21.0
17.2
13.2
11.1
6.76
15.3
11.8
9.92
8.03
6.06
PROPERTIES
Area, In.2
I, In.
4
304
256
202
172
8.96
141
108
182
145
124
102
78.2
r, In.
3.80
3.86
3.92
3.94
3.97
4.00
3.45
3.51
3.54
3.56
3.59
B, Bending Factor
0.345
0.336
0.327
0.323
0.318
0.313
0.378
0.366
0.360
0.354
0.349
a ÷ 10 6
45.4
38.2
30.2
25.7
21.1
16.1
27.2
21.7
18.5
*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
7
15.2
11.7
HSS / Square
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
8x8
Nominal Size
7x7
Wall Thickness
5/8
1/2
3/8
5/16
1/4
Weight Per Foot
59.32
48.85
37.69
31.84
25.82
Design Wall Thickness
Effective length KL in feet
ERW
3/16
19.63
5/8
50.81
0.174*
0.581
Fy = 46 ksi
0.581
0.465
0.349
0.291
0.233
0
2
3
4
5
453
444
439
434
428
373
366
362
358
353
287
282
279
276
272
242
238
235
232
229
196
193
191
188
186
138
136
135
134
133
386
378
373
367
361
6
7
8
9
10
422
415
408
401
393
348
342
337
331
325
268
264
260
256
251
226
223
219
216
212
184
181
178
175
172
131
130
129
127
125
11
12
13
14
15
385
376
367
358
349
318
311
304
297
289
246
241
236
230
224
208
203
199
194
190
169
165
162
158
154
16
17
18
19
20
339
328
318
307
296
281
273
264
256
247
218
212
206
199
193
185
180
174
169
163
21
22
23
24
25
284
272
260
248
235
237
228
218
208
198
186
179
171
164
156
26
27
28
29
30
222
208
194
181
169
187
176
165
154
144
31
32
33
34
35
158
148
140
132
124
36
37
38
39
40
1/2
42.05
0.465
3/8
5/16
1/4
3/16
32.58
27.59
22.42
17.08
0.349
0.291
0.233
0.174
320
313
309
305
300
248
242
239
236
232
209
205
203
200
197
170
167
165
163
160
129
126
125
123
121
355
348
340
332
324
295
289
283
277
270
228
224
220
215
210
193
190
186
182
178
157
155
152
148
145
119
117
115
113
110
124
122
120
118
116
315
306
297
287
277
263
256
248
240
232
205
199
194
188
181
174
169
164
160
154
142
138
134
130
126
107
105
102
99
96
150
146
142
137
133
113
111
108
105
101
266
255
244
232
220
223
215
206
196
186
175
169
162
155
148
149
144
138
132
126
122
118
113
108
104
93
89
86
83
79
158
152
146
140
133
128
124
119
114
109
98
94
91
87
83
208
195
182
168
155
176
166
155
144
133
140
132
124
116
108
120
114
107
100
93
99
94
88
83
77
75
71
68
63
59
148
140
132
123
115
127
120
113
106
99
103
98
93
87
81
79
75
71
67
63
143
133
123
115
107
123
114
106
99
92
100
92
86
80
75
86
80
74
69
65
72
66
62
58
54
55
51
47
44
41
135
126
119
112
106
108
101
95
90
85
93
87
82
77
73
76
71
67
63
60
59
55
52
49
46
101
94
89
84
79
87
81
76
72
68
70
66
62
58
55
61
57
53
50
48
50
47
44
42
40
39
36
34
32
30
117
111
105
100
95
100
95
90
85
81
80
76
72
68
65
69
65
62
59
56
56
53
51
48
46
43
41
39
37
35
75
71
67
64
60
64
61
58
55
52
52
49
47
44
42
45
43
40
38
36
37
35
34
32
30
29
27
26
24
23
16.4
13.5
10.4
8.76
5.37
14.0
11.6
8.97
7.59
6.17
4.67
93.3
80.5
PROPERTIES
Area, In.2
I, In.
4
146
125
99.6
85.6
7.10
70.7
54.4
64.9
56.1
46.5
36.0
r, In.
2.99
3.04
3.10
3.13
3.15
3.18
2.58
2.63
2.69
2.72
2.75
2.77
B, Bending Factor
0.449
0.432
0.418
0.409
0.402
0.395
0.525
0.504
0.484
0.474
0.464
0.454
9.69
8.38
6.94
5.38
a ÷ 10 6
21.8
18.7
14.9
12.8
10.6
8.12
13.9
12.0
*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
8
HSS / Square
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
Nominal Size
ERW
6x6
5 1/2 x 51/2
Wall Thickness
5/8
1/2
3/8
5/16
1/4
3/16
1/8
3/8
5/16
1/4
3/16
1/8
Weight Per Foot
42.30
35.24
27.48
23.34
19.02
14.53
9.86
24.93
21.21
17.32
13.25
9.01
Effective length KL in feet
Design Wall Thickness
0.581
0.465
0.349
0.291
0.233
0.174
0.116*
Fy = 46 ksi
0.349
0.291
0.233
0
2
3
4
5
323
314
309
303
297
269
262
258
253
248
209
204
201
197
193
177
173
170
167
164
145
141
139
137
134
110
107
106
104
102
65
64
63
62
62
190
185
181
178
174
161
157
154
151
148
132
128
126
123
121
100
98
96
94
92
62
61
60
59
58
6
7
8
9
10
290
282
274
266
257
242
236
230
223
216
189
185
180
175
169
161
157
153
149
144
131
128
125
122
118
100
98
95
93
90
61
60
59
58
57
169
165
160
154
149
144
140
136
132
127
118
115
111
108
104
90
88
85
82
80
57
56
55
54
53
11
12
13
14
15
248
238
227
217
206
208
201
192
184
175
164
158
152
145
138
140
135
129
124
119
114
110
106
102
98
87
84
81
78
75
55
54
53
51
49
143
137
130
124
116
122
117
112
106
100
100
96
92
87
83
77
74
70
67
64
51
50
48
46
44
16
17
18
19
20
194
182
169
156
143
166
156
146
136
125
132
124
117
109
101
113
107
101
94
87
93
88
83
78
73
71
68
64
60
56
48
46
44
41
39
109
102
94
85
77
94
88
81
75
68
78
73
67
62
56
60
56
52
48
44
41
39
36
33
31
21
22
23
24
25
130
118
108
99
91
114
104
95
87
80
93
84
77
71
65
81
74
67
62
57
67
61
56
52
48
52
48
44
40
37
36
33
30
28
26
70
64
58
54
49
61
56
51
47
43
51
46
42
39
36
40
36
33
30
28
28
25
23
21
20
26
27
28
29
30
85
78
73
68
63
74
69
64
60
56
60
56
52
49
45
53
49
45
42
40
44
41
38
35
33
34
32
30
28
26
24
22
20
19
18
46
42
39
37
34
40
37
34
32
30
33
31
29
27
25
26
24
22
21
20
18
17
16
15
14
31
32
33
34
35
59
56
52
49
47
52
49
46
43
41
43
40
38
35
33
37
35
33
31
29
31
29
27
26
24
24
23
21
20
19
17
16
15
14
13
32
30
28
27
====
28
26
25
23
22
====
23
22
21
19
18
====
18
17
16
15
14
13
12
11
11
10
36
37
38
39
40
44
====
39
37
====
32
30
28
====
27
26
25
====
23
22
21
20
====
18
17
16
15
====
12
12
11
11
====
14
====
9
====
9.74
7.58
6.43
3.63
2.46
0.174
0.116*
PROPERTIES
Area, In.2
11.7
I, In. 4
55.1
48.2
39.4
34.3
5.24
3.98
28.6
22.3
2.70
15.5
6.88
29.7
5.85
25.9
4.77
21.7
17.0
11.8
r, In.
2.17
2.23
2.28
2.31
2.34
2.37
2.39
2.08
2.11
2.13
2.16
2.19
B, Bending Factor
0.637
0.606
0.577
0.562
0.550
0.535
0.523
0.637
0.621
0.604
0.587
0.573
a ÷ 10 6
8.23
7.20
5.88
5.12
4.27
3.33
2.31
4.44
3.87
3.24
2.54
1.76
*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
9
HSS / Square
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
Nominal Size
ERW
5x5
4 1/2 x 41/2
Wall Thickness
1/2
3/8
5/16
1/4
3/16
1/8
1/2
3/8
5/16
1/4
3/16
1/8
Weight Per Foot
28.43
22.37
19.08
15.62
11.97
8.16
25.03
19.82
16.96
13.91
10.70
7.31
Effective length KL in feet
Design Wall Thickness
0.465
0.349
0.291
0.233
0.174
0.116*
0.465
Fy = 46 ksi
0.349
0.291
0.233
0.174
0.116
0
2
3
4
5
217
210
206
201
195
171
165
162
158
154
145
141
138
135
131
119
115
113
110
108
91
88
86
84
82
59
58
57
56
55
192
185
180
175
169
151
146
142
138
134
129
125
122
118
115
106
102
100
97
94
81
78
76
74
72
55
53
52
51
49
6
7
8
9
10
189
183
176
168
161
149
144
139
134
128
127
123
119
114
109
104
101
98
94
90
80
77
75
72
69
54
53
51
49
47
163
156
148
140
132
129
124
119
113
107
111
107
102
97
92
91
88
84
80
76
70
67
65
62
59
48
46
44
42
40
11
12
13
14
15
152
144
135
125
115
121
115
108
101
93
104
99
93
87
81
86
82
77
72
67
66
63
60
56
52
45
43
41
39
36
123
114
104
94
83
100
93
86
78
70
87
81
75
68
62
72
67
62
57
52
55
52
48
44
40
38
36
33
31
28
16
17
18
19
20
105
94
84
75
68
86
77
69
62
56
75
68
61
55
49
62
57
51
46
42
49
44
40
36
33
34
31
28
25
23
73
65
58
52
47
62
55
49
44
40
55
49
43
39
35
47
41
37
33
30
36
32
29
26
23
26
23
20
18
16
21
22
23
24
25
61
56
51
47
43
51
46
42
39
36
45
41
37
34
32
38
34
31
29
27
30
27
25
23
21
21
19
17
16
15
42
39
35
32
30
36
33
30
28
25
32
29
27
24
22
27
25
23
21
19
21
19
18
16
15
15
14
12
11
11
26
27
28
29
30
40
37
35
32
30
====
33
31
29
27
25
29
27
25
23
22
25
23
21
20
18
19
18
17
16
15
14
13
12
11
10
28
====
23
22
====
21
19
18
====
18
16
15
====
14
13
12
11
====
10
9
8
8
====
23
====
20
====
17
16
====
14
13
====
10
9
8
====
6.95
5.48
4.68
3.84
2.93
2.00
9.02
6.35
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
I, In.
4
7.88
26.0
6.18
21.7
5.26
19.0
4.30
16.0
3.28
2.23
12.6
8.80
18.0
15.3
13.5
11.4
r, In.
1.82
1.87
1.90
1.93
1.96
1.99
1.61
1.67
1.70
1.73
1.75
1.78
B, Bending Factor
0.758
0.712
0.692
0.672
0.651
0.634
0.869
0.806
0.780
0.758
0.731
0.709
a ÷ 10 6
3.88
3.24
2.84
2.39
1.88
1.31
2.69
2.28
2.02
1.70
1.35
0.948
*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253/ Fy
Note: Double Horizontal Line indicates k l/r limit of 200.
10
HSS / Square
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
ERW
4x4
Nominal Size
3 1/2 x 3 1/2
1/2
3/8
5/16
1/4
3/16
1/8
3/8
5/16
1/4
3/16
1/8
Weight Per Foot
21.63
17.27
14.83
12.21
9.42
6.46
14.72
12.70
10.51
8.15
5.61
Design Wall Thickness
0.465
0.349
0.291
0.233
0.174
0.116
Fy = 46 ksi
0.349
0.291
0.233
0.174
0.116
0
2
3
4
5
166
159
154
149
142
132
126
123
119
114
113
108
105
102
98
93
89
87
84
81
71
68
67
65
62
49
47
46
44
43
113
107
103
99
94
97
92
89
86
82
80
76
74
71
68
62
59
57
55
52
43
41
39
38
36
6
7
8
9
10
136
128
121
112
103
109
103
98
91
85
94
89
85
79
74
78
74
70
66
62
60
57
54
51
48
41
39
37
35
33
89
83
77
70
63
77
72
67
61
55
64
60
56
52
47
50
47
44
41
37
34
32
30
28
26
11
12
13
14
15
94
84
73
63
55
78
70
62
54
47
68
62
55
48
42
57
52
47
41
36
44
41
37
33
29
31
28
26
23
20
55
47
40
34
30
49
42
36
31
27
42
36
31
27
23
33
29
25
22
19
23
21
18
15
13
16
17
18
19
20
48
43
38
34
31
41
37
33
29
26
37
33
29
26
24
32
28
25
22
20
25
22
20
18
16
18
16
14
13
11
26
23
21
19
17
24
21
19
17
15
21
18
16
15
13
17
15
13
12
11
12
10
9
8
7
21
22
23
24
25
28
26
23
====
24
22
20
18
====
21
20
18
16
====
18
17
15
14
13
====
15
13
12
11
10
====
10
9
9
8
7
15
====
14
====
12
11
====
10
9
====
7
6
====
Effective length KL in feet
Wall Thickness
7
====
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
I, In.
4
6.02
11.9
4.78
3.37
2.58
1.77
4.09
3.52
2.91
2.24
1.54
9.14
7.80
6.21
4.40
6.48
5.84
5.04
4.05
2.90
r, In.
1.41
1.46
1.49
1.52
1.55
1.58
1.26
1.29
1.32
1.35
1.37
B, Bending Factor
1.01
0.928
0.897
0.864
0.831
0.805
1.10
1.05
1.01
0.968
0.929
a ÷ 10
1.78
1.54
1.36
1.16
0.927
0.657
0.968
0.872
0.753
0.605
0.433
6
10.3
4.10
Note: Double Horizontal Line indicates k l/r limit of 200.
11
HSS / Square
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
Nominal Size
3x3
ERW
2 1/2 x 2 1/2
2 1/4 x 2 1/4
Wall Thickness
3/8
5/16
1/4
3/16
1/8
5/16
1/4
3/16
1/8
1/4
3/16
1/8
Weight Per Foot
12.17
10.58
8.81
6.87
4.75
8.45
7.11
5.59
3.90
6.26
4.96
3.48
0.233
0.174
0.116
0.291
0.233
Fy = 46 ksi
0.174
0.116
0.233
0.174
0.116
Design Wall Thickness
0.291
0
2
3
4
5
94
88
84
79
74
81
76
73
69
64
67
63
61
58
54
52
49
47
45
42
36
34
33
31
29
65
60
56
52
47
54
50
47
44
40
43
39
37
35
32
30
27
26
24
22
48
44
41
37
33
38
35
32
30
27
26
24
23
21
19
6
7
8
9
10
68
61
54
47
39
60
54
49
42
36
50
46
41
36
31
39
36
33
29
25
27
25
23
21
18
42
36
29
23
19
36
31
26
21
17
29
25
21
17
14
20
18
16
13
10
29
24
18
14
12
23
20
15
12
10
17
14
12
9
7
11
12
13
14
15
32
27
23
20
17
29
25
21
18
16
26
22
18
16
14
21
18
15
13
11
15
13
11
9
8
16
13
11
10
====
14
12
10
9
7
====
12
10
8
7
6
====
9
7
6
5
5
10
8
7
====
8
7
6
====
6
5
4
4
====
16
17
18
19
20
15
13
====
14
12
11
====
12
11
10
====
10
9
8
7
====
7
6
6
5
====
3.39
2.94
2.44
1.89
1.30
2.35
1.74
1.37
0.96
3.77
3.45
3.02
2.46
1.78
1.82
1.63
1.35
0.998
1.13
0.952
0.712
1.05
1.08
1.11
1.14
1.17
0.879
0.908
0.937
0.965
0.805
0.835
0.863
B, Bending Factor
1.35
1.28
1.21
1.15
1.10
1.61
1.51
1.43
1.34
1.73
1.62
1.52
a ÷ 10
0.563
0.515
0.451
0.367
0.266
0.272
0.243
0.202
0.149
0.169
0.142
0.106
Effective length KL in feet
0.349
4
====
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
I, In.
4
r, In.
6
Note: Double Horizontal Line indicates k l/r limit of 200.
12
1.97
1.54
1.07
HSS / Square
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
Nominal Size
2x2
1 3/4 x 1 3/4
ERW
1 5/8 x 1 5/8
1 1/2 x 1 1/2
1 1/4 x 1 1/4
1/4
3/16
1/8
3/16
3/16
1/8
3/16
1/8
Weight Per Foot
5.41
4.32
3.05
3.68
3.36
2.42
3.04
2.20
2.40
1.78
Design Wall Thickness
0.233
0.174
0.116
0.174
0.174
0.116
Fy = 46 ksi
0.174
0.116
0.174
0.116
0
2
3
4
5
42
37
34
30
26
33
30
27
24
21
23
21
19
17
15
28
25
22
19
16
26
22
19
16
13
18
16
14
12
10
23
20
17
14
10
17
14
13
10
8
18
15
12
8
5
14
11
9
6
4
6
7
8
9
10
21
16
12
10
8
18
13
10
8
7
13
10
8
6
5
12
9
7
5
4
====
9
7
5
4
====
7
5
4
3
3
====
7
5
4
====
5
4
3
2
====
3
3
====
3
2
====
11
12
13
14
15
6
====
5
5
====
4
4
====
1.51
1.19
0.84
1.02
0.93
0.67
0.84
0.61
0.67
0.49
Effective length KL in feet
Wall Thickness
3/16
1/8
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
I, In.
4
0.745
0.640
0.486
0.405
0.312
0.246
0.235
0.188
0.121
0.101
r, In.
0.703
0.732
0.761
0.630
0.579
0.608
0.528
0.556
0.425
0.454
B, Bending Factor
2.03
1.86
1.73
2.20
2.42
2.21
2.68
2.43
3.46
3.03
a ÷ 10
0.111
0.096
0.073
0.060
0.047
0.037
0.035
0.028
0.018
0.015
6
Note: Double Horizontal Line indicates k l/r limit of 200.
13
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
20 x 12
Wall Thickness
1/2
Weight Per Foot
103.30
Effective length KL in feet
Design Wall Thickness
0.465*
3/8
78.52
ERW
20 x 8
5/16
5/8
65.87
110.30
x
20 x 4
1/2
3/8
89.68
68.31
5/16
57.36
1/2
3/8
76.07
58.10
5/16
48.86
0.349*
0.291*
0.581
0.465*
0.349*
Fy = 46 ksi
0.291*
0.465*
0.349*
0.291*
0
2
3
4
5
761
755
751
747
743
517
513
511
509
506
406
403
402
400
398
836
823
815
806
797
660
651
647
641
636
442
437
434
431
427
343
339
337
334
332
558
543
533
522
509
370
361
356
349
342
282
276
272
268
263
6
7
8
9
10
739
734
730
724
719
503
500
497
494
491
396
394
391
389
387
787
776
765
753
741
629
623
616
608
600
424
420
416
411
407
329
326
323
320
317
494
474
453
431
408
334
325
316
305
294
257
251
245
237
230
11
12
13
14
15
714
708
702
696
689
488
484
480
477
473
384
382
379
376
373
728
715
701
686
671
592
582
571
560
548
402
397
391
386
380
313
310
306
302
298
383
357
330
301
270
282
268
253
236
217
221
212
202
191
178
16
17
18
19
20
683
675
667
658
649
469
464
460
456
451
370
367
364
360
357
656
640
624
607
589
536
523
510
496
483
374
367
360
353
346
293
289
284
279
274
239
212
189
169
153
194
172
153
138
124
164
147
131
118
106
21
22
23
24
25
640
631
621
612
602
446
441
436
431
426
354
350
346
342
339
571
553
534
515
495
468
454
439
424
408
339
331
322
314
305
268
263
257
251
245
139
126
116
106
98
113
103
94
86
79
97
88
80
74
68
26
27
28
29
30
592
581
571
560
549
420
415
409
403
397
334
330
326
322
317
475
454
432
410
388
392
375
358
341
323
295
285
274
263
251
238
231
224
216
208
90
84
78
====
73
68
63
====
31
32
33
34
35
538
526
515
503
491
391
384
377
371
364
313
308
303
298
293
365
342
322
303
286
305
286
269
254
239
238
224
211
199
187
199
190
180
170
160
36
37
38
39
40
479
467
454
441
428
356
349
341
333
325
288
282
277
271
265
270
256
243
230
219
226
214
203
193
183
177
168
159
151
143
151
143
136
129
123
63
58
54
51
====
PROPERTIES
2
Area, In.
28.3
21.5
18.1
30.3
24.6
18.7
15.7
Ix, In. 4
1550
1200
1010
1440
1190
926
786
Iy, In. 4
705
547
464
338
283
222
189
20.9
838
58.7
16.0
657
47.6
13.4
560
41.2
Ratio rx / ry
1.48
1.48
1.48
2.06
2.05
2.04
2.04
3.78
3.72
ry, In.
4.99
5.04
5.07
3.34
3.39
3.44
3.47
1.68
1.73
1.75
Bx, Bending Factor
0.183
0.179
0.179
0.210
0.207
0.202
0.200
0.249
0.244
0.239
By, Bending Factor
0.241
ax, ÷ 10 6
231
ay, ÷ 10 6
105
0.236
179
81.7
0.234
151
69.3
0.359
0.348
215
178
50.5
42.3
0.337
138
33.2
0.332
117
28.2
0.712
125
8.77
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
14
0.672
98.1
7.11
3.69
0.650
83.6
6.15
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
18 x 6
Nominal Size
Wall Thickness
5/8
1/2
3/8
Weight Per Foot
93.34
76.07
58.10
0.581
0.465
0.349*
0
2
3
4
5
709
693
683
673
661
577
564
556
548
538
395
388
384
380
376
6
7
8
9
10
648
635
620
605
589
528
518
506
494
481
11
12
13
14
15
572
554
536
517
497
16
17
18
19
20
5/16
0.291*
1/4
1/2
39.43
89.68
3/8
68.31
16 x 8
5/16
57.36
5/8
93.34
1/2
3/8
76.07
58.10
5/16
48.86
0.233*
0.465
0.349*
Fy = 46 ksi
0.291*
0.581
0.465
0.349*
304
299
297
293
290
221
218
216
214
212
679
672
668
663
658
493
488
486
483
481
388
384
382
381
379
709
697
691
683
675
577
567
562
556
549
419
413
410
407
403
325
321
319
317
314
371
365
359
353
346
287
283
279
274
270
209
207
204
201
198
654
648
643
637
631
478
475
472
468
465
376
374
372
369
367
666
657
647
637
626
543
535
527
519
511
399
395
391
386
381
311
308
305
301
298
468
454
440
425
409
339
332
324
316
307
265
259
254
248
242
195
191
188
184
180
625
619
612
605
598
461
457
453
449
445
364
361
358
355
352
615
603
591
578
565
502
492
483
473
462
376
370
364
358
352
294
290
286
282
277
476
455
433
410
386
393
376
358
340
322
297
287
276
265
252
235
228
221
213
205
175
171
166
161
156
591
584
576
568
560
441
436
431
427
422
349
345
342
338
335
552
538
523
509
493
451
440
429
417
405
345
338
331
322
313
272
267
262
257
251
21
22
23
24
25
361
336
310
285
262
302
282
262
241
222
237
223
208
192
177
196
186
176
164
151
150
144
138
131
123
552
544
535
526
517
416
411
406
400
394
331
327
323
319
315
478
462
445
428
411
392
380
367
353
339
303
294
284
274
264
245
239
233
226
219
26
27
28
29
30
242
225
209
195
182
205
190
177
165
154
163
152
141
131
123
140
130
121
113
105
115
106
99
92
86
508
499
489
479
469
388
381
374
367
359
310
306
301
296
291
393
374
356
336
316
325
311
296
280
265
253
242
231
220
208
212
204
195
186
177
31
32
33
34
35
171
160
151
142
134
144
135
127
120
113
115
108
101
96
90
99
92
87
82
77
81
76
71
67
63
459
449
439
428
417
352
344
336
328
320
286
281
276
270
265
297
278
262
247
233
249
233
219
207
195
196
184
173
163
154
167
157
148
139
131
36
37
38
39
40
126
120
114
108
102
107
101
96
91
87
85
81
76
73
69
73
69
66
62
59
60
57
54
51
48
406
395
383
372
360
312
303
295
286
277
259
253
247
240
234
220
208
197
187
178
184
175
165
157
149
145
138
130
124
118
124
117
111
106
100
20.9
16.0
13.4
10.8
Design Wall Thickness
Effective length KL in feet
ERW
16 x 12
48.86
x
0.291*
PROPERTIES
Area, In.2
25.7
Ix, In. 4
923
770
602
Iy, In. 4
158
134
106
513
91.3
24.6
419
75.1
18.7
15.7
25.7
20.9
16.0
13.4
904
702
595
815
679
531
451
581
452
384
274
230
181
155
Ratio rx / ry
2.42
2.40
2.38
2.37
2.36
1.25
1.25
1.24
1.72
1.72
1.71
ry, In.
2.48
2.53
2.58
2.61
2.63
4.86
4.91
4.94
3.27
3.32
3.37
3.40
Bx, Bending Factor
0.251
0.244
0.239
0.235
0.232
0.218
0.213
0.211
0.252
0.246
0.241
0.238
By, Bending Factor
0.488
0.468
0.453
0.440
0.431
0.254
0.248
0.245
0.375
0.363
0.354
0.346
ax, ÷ 10
6
ay, ÷ 10 6
138
23.6
115
20.0
89.9
76.6
62.6
15.8
13.6
11.2
135
86.8
105
67.5
88.9
57.3
122
40.9
101
34.3
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
15
1.71
79.3
67.3
27.0
23.1
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
x
ERW
16 x 4
14 x 10
Wall Thickness
1/2
3/8
5/16
5/8
1/2
3/8
5/16
1/4
Weight Per Foot
62.46
47.90
40.35
93.34
76.07
58.10
48.86
39.43
Effective length KL in feet
Design Wall Thickness
0.465
0.349*
0.291*
0.349
0.291*
0.233*
0
2
3
4
5
475
457
446
434
420
342
333
328
321
313
264
257
253
248
243
709
700
694
688
682
577
569
565
560
555
442
436
433
429
425
347
343
341
339
336
258
255
254
252
250
6
7
8
9
10
405
388
371
352
332
305
296
286
275
260
237
231
224
216
208
676
669
661
653
645
550
544
538
532
526
421
417
413
408
403
334
331
328
325
322
249
247
245
243
241
11
12
13
14
15
311
289
266
241
215
245
229
212
194
176
199
189
178
165
151
637
628
619
609
599
519
512
505
497
489
398
393
387
381
376
319
316
312
308
305
238
236
234
231
228
16
17
18
19
20
190
168
150
135
121
156
139
124
111
100
135
119
106
95
86
589
579
568
557
546
481
473
464
456
447
370
363
357
350
344
301
297
292
288
283
226
223
220
217
214
21
22
23
24
25
110
100
92
84
78
91
83
76
69
64
78
71
65
60
55
534
522
510
498
485
437
428
418
408
398
337
330
322
315
307
278
274
268
263
258
210
207
203
200
196
26
27
28
29
30
72
67
====
59
55
51
====
51
47
44
====
472
459
445
431
417
388
377
366
355
344
299
292
283
275
267
252
245
239
232
225
192
188
184
180
175
31
32
33
34
35
402
387
372
357
341
333
321
309
297
284
258
249
240
231
222
218
210
203
195
188
171
166
161
156
151
36
37
38
39
40
325
308
292
278
264
271
258
245
233
221
212
202
192
182
173
180
172
163
155
147
145
139
133
126
120
0.581
0.465
Fy = 46 ksi
PROPERTIES
Area, In.2
Ix, In. 4
Iy, In. 4
17.2
455
47.0
13.2
360
38.3
11.1
308
33.2
25.7
20.9
16.0
13.4
10.8
687
573
447
380
310
407
341
267
227
186
Ratio rx / ry
3.11
3.07
3.05
1.30
1.30
1.29
1.29
ry, In.
1.65
1.71
1.73
3.98
4.04
4.09
4.12
4.14
Bx, Bending Factor
0.302
0.293
0.288
0.262
0.255
0.251
0.247
0.244
By, Bending Factor
ax, ÷ 10 6
ay, ÷ 10 6
0.732
67.9
7.02
0.689
53.8
5.72
0.669
46.0
0.316
103
4.96
60.8
0.306
0.300
0.290
85.6
66.8
56.7
46.3
50.9
39.9
33.9
27.8
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
16
0.295
1.29
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
Wall Thickness
5/8
1/2
3/8
Weight Per Foot
76.33
62.46
47.90
Design Wall Thickness
Effective length KL in feet
ERW
14 x 6
Nominal Size
x
14 x 4
5/16
40.35
0.581
0.465
0.349
0.291*
0
2
3
4
5
580
566
558
549
539
475
464
457
450
442
364
356
351
346
340
6
7
8
9
10
528
517
505
492
478
434
425
415
405
394
11
12
13
14
15
464
449
434
418
401
16
17
18
19
20
1/4
3/16
32.63
24.73
5/8
1/2
3/8
67.82
55.66
42.79
0.233*
0.174*
0.581
Fy = 46 ksi
284
279
276
273
269
208
205
203
201
198
139
137
135
134
133
334
327
320
312
304
266
261
257
252
247
196
193
190
187
184
383
371
359
346
332
296
287
278
268
258
242
236
230
224
217
383
365
347
327
307
319
304
290
274
258
248
237
226
215
203
21
22
23
24
25
286
265
243
223
206
242
225
207
190
176
26
27
28
29
30
190
176
164
153
143
31
32
33
34
35
36
37
38
39
40
5/16
36.10
1/4
29.23
3/16
22.18
0.465
0.349
0.291*
0.233*
0.174*
516
496
484
469
453
422
407
397
386
373
326
314
307
298
289
252
245
241
236
231
183
179
176
173
170
120
118
116
114
112
131
130
128
126
124
436
417
397
375
353
359
345
329
312
294
279
268
257
244
231
225
218
211
203
195
166
161
157
152
146
110
108
105
102
99
180
176
172
168
163
122
119
117
115
112
328
303
276
248
218
275
256
235
213
189
217
203
187
171
154
185
173
160
147
133
140
133
126
118
109
96
92
88
84
79
209
201
192
182
172
159
154
148
143
137
109
106
103
100
97
192
170
151
136
123
167
148
132
118
107
137
121
108
97
87
119
105
94
84
76
98
87
78
70
63
74
68
61
55
49
191
178
165
152
140
162
152
141
130
120
130
123
116
107
99
93
89
85
81
76
111
101
93
85
78
97
88
81
74
68
79
72
66
61
56
69
63
58
53
49
57
52
48
44
40
45
41
37
34
32
162
150
140
130
122
130
120
112
104
97
111
103
95
89
83
91
85
79
74
69
71
66
61
57
53
73
====
63
59
====
52
48
45
====
45
42
39
====
37
35
32
30
====
29
27
25
23
====
134
126
118
111
105
114
107
101
95
90
91
86
80
76
72
78
73
69
65
61
64
60
57
54
50
50
47
44
41
39
99
94
89
85
80
85
80
76
72
69
68
64
61
58
55
58
55
52
49
47
48
45
43
41
39
37
35
33
31
30
PROPERTIES
2
Area, In.
21.0
17.2
Ix, In. 4
478
402
Iy, In. 4
124
105
13.2
317
84.1
11.1
271
72.3
8.96
222
6.76
170
59.6
45.9
18.7
373
47.1
15.3
317
41.1
11.8
252
33.6
9.92
216
29.2
8.03
178
24.4
6.06
137
19.0
Ratio rx / ry
1.96
1.96
1.94
1.94
1.93
1.92
2.81
2.78
2.74
2.72
2.70
ry, In.
2.43
2.48
2.53
2.55
2.58
2.61
1.59
1.64
1.69
1.72
1.74
1.77
Bx, Bending Factor
0.308
0.300
0.291
0.287
0.283
0.278
0.351
0.338
0.328
0.321
0.316
0.310
By, Bending Factor
0.508
0.491
0.471
0.461
ax, ÷ 10 6
71.4
60.0
47.3
40.5
ay, ÷ 10 6
18.5
15.7
12.6
10.8
0.451
33.2
0.442
25.4
8.90
6.85
0.794
55.7
7.03
0.745
47.3
6.14
0.702
37.6
5.02
0.679
32.3
4.36
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
17
0.658
26.6
3.64
2.69
0.638
20.5
2.84
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
ERW
12 x 10
12 x 8
Wall Thickness
1/2
3/8
5/16
1/4
5/8
1/2
3/8
Weight Per Foot
69.27
53.00
44.60
36.03
76.33
62.46
47.90
Effective length KL in feet
Design Wall Thickness
x
0.465
0.349
0.291*
0.233*
0
2
3
4
5
524
517
513
509
504
403
398
395
391
388
334
330
328
326
323
249
247
246
244
243
580
570
564
557
550
6
7
8
9
10
499
494
489
483
477
384
380
376
371
367
321
318
314
311
307
241
240
238
236
233
11
12
13
14
15
470
464
457
450
443
362
357
352
347
341
303
299
295
290
286
16
17
18
19
20
435
427
419
411
403
335
330
324
317
311
21
22
23
24
25
394
385
376
367
357
26
27
28
29
30
5/16
40.35
1/4
32.63
0.349
0.291*
475
467
462
457
451
364
358
355
351
347
304
299
297
294
292
226
223
221
219
217
151
150
149
148
147
543
535
527
518
509
445
439
432
425
418
342
337
332
327
322
288
284
280
275
271
215
213
210
208
205
145
144
143
141
140
231
228
226
223
220
499
489
478
467
456
410
402
394
385
376
316
310
304
297
290
266
261
256
250
245
202
199
196
193
189
138
136
134
132
130
281
276
271
266
261
217
214
211
208
205
445
433
420
407
394
367
357
347
337
326
283
276
269
261
253
239
233
227
220
214
186
182
178
174
170
128
126
123
121
118
305
298
291
284
277
255
250
244
238
232
201
198
194
190
186
381
367
353
338
323
315
304
293
281
269
245
237
229
220
211
207
200
193
186
178
165
161
156
151
145
116
113
110
107
104
348
338
327
317
307
270
262
254
247
239
226
220
214
207
201
182
178
173
169
164
307
291
275
258
242
257
244
231
218
204
202
192
183
173
163
171
163
155
147
138
139
133
127
120
113
101
97
94
90
86
31
32
33
34
35
296
285
273
262
250
230
222
214
205
196
194
187
180
173
166
159
153
148
142
136
226
212
200
188
178
191
179
169
159
150
152
143
134
127
119
130
122
114
108
102
107
100
94
89
84
81
77
72
68
64
36
37
38
39
40
238
226
214
203
193
187
178
169
160
152
158
151
143
136
129
130
124
118
112
106
168
159
151
143
136
142
134
127
121
115
113
107
101
96
91
96
91
86
82
78
79
75
71
67
64
61
57
54
52
49
0.581
0.465
Fy = 46 ksi
0.233*
3/16
24.73
0.174*
PROPERTIES
2
Area, In.
19.0
14.6
12.2
9.90
21.0
17.2
13.2
11.1
Ix, In. 4
395
310
264
216
396
333
262
224
Iy, In. 4
298
234
200
164
210
177
140
120
8.96
184
98.8
6.76
140
75.7
Ratio rx / ry
1.15
1.15
1.15
1.15
1.37
1.37
1.37
1.37
1.36
ry, In.
3.96
4.01
4.04
4.07
3.16
3.21
3.27
3.29
3.32
3.35
Bx, Bending Factor
0.289
0.283
0.277
0.275
0.318
0.310
0.302
0.297
0.292
0.290
By, Bending Factor
0.319
0.312
0.305
0.302
0.400
0.389
0.377
0.370
0.363
1.36
0.357
ax, ÷ 10 6
59.0
46.3
39.4
32.3
59.1
49.7
39.1
33.5
27.5
20.9
ay, ÷ 10 6
44.5
34.9
29.9
24.5
31.4
26.4
20.9
17.9
14.8
11.3
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
18
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
Wall Thickness
5/8
1/2
3/8
Weight Per Foot
67.82
55.66
42.79
Design Wall Thickness
Effective length KL in feet
ERW
12 x 6
Nominal Size
x
12 x 4
5/16
36.10
1/4
3/16
29.23
22.18
0.581
0.465
0.349
0.291*
0.233*
0
2
3
4
5
516
504
496
488
479
422
412
407
400
393
326
318
314
309
304
271
266
263
260
255
200
197
195
193
190
134
132
131
129
128
6
7
8
9
10
469
459
448
436
424
385
377
368
359
349
298
292
285
278
271
251
246
240
234
228
187
185
181
178
175
11
12
13
14
15
411
397
383
368
353
339
328
317
305
293
263
255
246
238
229
222
215
208
201
194
16
17
18
19
20
337
321
304
286
267
280
267
254
240
225
219
209
199
189
178
21
22
23
24
25
248
229
209
192
177
210
195
179
164
151
26
27
28
29
30
164
152
141
132
123
31
32
33
34
35
36
37
38
39
40
5/8
1/2
3/8
59.32
48.85
37.69
0.174*
0.581
Fy = 46 ksi
5/16
31.84
0.465
0.349
0.291*
453
435
424
411
397
373
359
350
340
328
287
277
270
263
254
126
124
123
121
118
381
364
346
327
307
316
303
289
274
258
171
167
163
158
153
116
114
111
109
106
285
262
238
213
186
186
178
169
161
152
148
143
137
131
124
103
100
97
93
89
167
155
143
132
121
143
133
123
113
105
117
109
101
93
86
140
130
120
112
105
112
104
97
90
84
97
90
83
78
73
115
108
102
96
90
98
92
87
82
77
79
74
70
66
62
85
81
77
73
====
73
69
65
62
59
59
55
53
50
47
1/4
25.82
3/16
19.63
0.233*
0.174*
239
232
228
222
215
175
171
168
164
161
116
113
111
110
107
245
236
225
214
202
207
199
191
182
172
157
152
147
142
136
105
102
100
97
93
241
223
204
184
163
190
177
163
148
133
162
151
140
128
116
130
123
115
105
95
90
86
82
77
72
164
145
129
116
105
144
127
113
102
92
117
104
93
83
75
103
91
81
73
66
85
75
67
60
54
66
59
53
47
43
86
81
77
72
66
95
87
79
73
67
83
76
69
64
59
68
62
57
52
48
60
54
50
46
42
49
45
41
38
35
39
35
32
30
27
79
74
69
64
60
61
57
53
49
46
62
====
54
50
====
44
41
====
39
36
33
====
32
30
28
====
25
23
22
20
====
68
64
60
57
53
56
52
49
46
44
43
41
38
36
34
50
48
45
43
41
41
39
37
35
34
32
30
29
27
26
PROPERTIES
Area, In.2
18.7
Ix, In. 4
321
Iy, In. 4
106
15.3
271
91.1
11.8
215
72.9
9.92
184
62.8
8.03
151
6.06
116
51.9
40.0
16.4
245
40.3
13.5
209
35.3
10.4
168
28.9
8.76
144
25.2
7.10
119
21.0
5.37
91.8
16.4
Ratio rx / ry
1.74
1.72
1.72
1.71
1.71
1.70
2.47
2.43
2.41
2.39
2.38
ry, In.
2.39
2.44
2.49
2.52
2.54
2.57
1.57
1.62
1.67
1.70
1.72
1.75
Bx, Bending Factor
0.350
0.339
0.329
0.323
0.319
0.313
0.402
0.388
0.371
0.365
0.358
0.351
By, Bending Factor
0.529
0.504
0.486
ax, ÷ 10 6
47.9
40.5
32.1
ay, ÷ 10 6
15.8
13.6
10.9
0.474
27.5
9.38
0.464
22.5
0.455
17.3
7.75
5.97
0.814
36.6
6.02
0.765
31.2
5.27
0.720
25.1
4.32
0.695
21.5
3.76
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
19
0.676
17.8
3.14
2.37
0.655
13.7
2.45
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
12 x 3 1/2
Nominal Size
Wall Thickness
3/8
Weight Per Foot
36.41
Effective length KL in feet
Design Wall Thickness
0.349
5/16
30.78
12 x 3
5/16
29.72
0.291*
0.291*
1/4
24.12
ERW
12 x 2
3/16
18.35
0.233*
0.174*
x
10 x 8
1/4
3/16
1/2
3/8
22.42
17.08
55.66
42.79
0.233*
0.174*
Fy = 46 ksi
5/16
36.10
1/4
3/16
29.23
22.18
0.465
0.349
0.291
0.233*
0.174*
0
2
3
4
5
276
264
257
248
238
231
223
217
210
202
223
214
207
198
188
163
157
153
148
143
107
103
101
98
96
150
141
135
127
117
98
93
89
85
79
422
415
411
406
401
326
320
317
313
309
274
269
266
263
260
217
214
212
210
208
145
143
142
141
140
6
7
8
9
10
228
216
204
191
177
194
184
174
163
151
178
166
154
141
126
137
130
123
114
104
92
89
84
80
75
105
89
71
56
46
73
66
57
45
37
395
390
383
377
370
305
301
296
291
286
257
253
249
245
241
206
203
201
198
195
139
138
136
135
133
11
12
13
14
15
162
147
130
113
98
139
126
112
98
85
111
95
81
70
61
92
79
68
58
51
69
62
54
46
40
38
32
27
23
====
30
26
22
19
====
363
356
348
340
332
281
275
270
263
257
237
232
227
222
217
192
188
184
180
176
132
130
128
126
124
16
17
18
19
20
86
76
68
61
55
75
66
59
53
48
53
47
42
38
34
45
40
35
32
29
35
31
28
25
23
323
314
305
296
286
251
244
237
230
223
212
206
200
195
189
172
168
163
158
154
122
119
117
114
111
21
22
23
24
25
50
46
42
38
====
44
40
36
33
====
31
====
26
====
21
19
====
276
266
255
245
233
215
208
200
192
183
182
176
169
163
156
149
144
138
133
127
108
105
102
99
95
26
27
28
29
30
222
210
198
186
174
175
166
157
148
138
149
141
134
126
119
122
116
110
104
98
92
88
84
80
75
31
32
33
34
35
163
153
144
135
128
130
122
114
108
102
111
104
98
92
87
92
86
81
76
72
70
66
62
58
55
36
37
38
39
40
121
114
108
103
98
96
91
86
82
78
82
78
74
70
67
68
64
61
58
55
52
49
47
44
42
PROPERTIES
Area, In.2
Ix, In. 4
Iy, In. 4
10.0
156
134
124
103
6.17
86.9
4.67
67.4
15.3
11.8
9.92
214
169
145
151
120
103
8.03
119
8.72
4.40
3.55
3.05
3.02
4.44
4.36
1.19
1.19
1.19
1.19
1.18
ry, In.
1.46
1.48
1.27
1.29
1.32
0.845
0.872
3.14
3.19
3.22
3.25
3.28
Bx, Bending Factor
0.385
0.379
0.395
0.386
0.378
0.426
0.416
0.357
0.349
0.342
0.337
0.332
ay, ÷ 10 6
3.18
0.796
20.0
2.78
0.935
18.5
1.96
0.896
15.4
1.66
0.864
11.9
1.40
13.0
1.30
0.657
1.32
10.1
0.530
0.405
0.393
0.385
0.379
32.0
25.2
21.7
17.8
22.5
17.9
15.4
12.6
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
20
84.7
6.06
91.4
3.08
0.822
11.1
5.02
79.6
2.68
23.3
13.1
6.63
2.71
ax, ÷ 10 6
18.6
8.17
Ratio rx / ry
By, Bending Factor
21.3
8.46
65.1
0.372
13.6
9.72
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
10 x 5
Wall Thickness
5/8
1/2
3/8
5/16
1/4
Weight Per Foot
59.32
48.85
37.69
31.84
25.82
Effective length KL in feet
ERW
10 x 6
Design Wall Thickness
x
3/16
19.63
0.233*
0.174*
Fy = 46 ksi
3/8
35.13
5/16
29.72
1/4
24.12
3/16
18.35
0.349
0.291
0.233*
0.174*
129
127
126
124
123
267
259
255
249
244
225
219
215
211
206
178
174
172
169
166
120
117
116
114
112
178
175
171
167
163
121
119
117
115
113
237
231
224
216
208
201
195
189
183
176
163
159
154
149
144
110
108
106
103
100
195
189
182
176
169
158
153
148
143
138
110
108
105
102
99
199
191
181
172
162
169
162
154
146
138
138
132
126
120
113
98
94
91
88
84
190
182
172
163
153
162
154
147
139
131
132
126
120
114
107
96
93
89
85
81
151
140
129
117
105
129
120
110
101
91
106
99
92
84
76
80
75
70
65
59
179
165
151
139
128
143
132
121
111
103
122
114
105
96
89
100
93
86
79
73
77
72
67
61
57
96
87
80
73
67
82
75
69
63
58
69
63
57
53
49
54
49
45
41
38
138
128
119
111
103
118
110
102
95
89
95
88
82
76
71
82
76
71
66
62
68
63
58
54
51
52
49
45
42
39
62
58
54
50
47
54
50
46
43
40
45
42
39
36
34
35
32
30
28
26
31
32
33
34
35
97
91
86
81
76
83
78
73
69
65
67
63
59
56
52
58
54
51
48
45
48
45
42
39
37
37
35
32
31
29
44
41
39
36
====
38
35
33
31
====
32
30
28
26
25
====
25
23
22
20
19
====
36
37
38
39
40
72
68
64
61
====
62
58
55
53
====
50
47
44
42
40
43
40
38
36
35
35
33
32
30
29
27
26
24
23
22
0.581
0.465
0.349
0.291
0
2
3
4
5
453
442
435
427
419
373
364
358
352
346
287
280
276
272
267
242
236
233
229
225
191
188
186
183
181
6
7
8
9
10
411
401
391
380
369
339
331
323
315
306
262
256
250
244
237
221
216
211
206
200
11
12
13
14
15
358
345
332
319
305
297
287
277
266
255
230
223
215
207
199
16
17
18
19
20
291
276
260
244
228
243
231
219
206
193
21
22
23
24
25
210
192
176
162
149
26
27
28
29
30
PROPERTIES
2
Area, In.
Ix, In. 4
Iy, In. 4
16.4
201
89.4
13.5
171
76.8
10.4
137
61.8
8.76
7.10
118
53.3
5.37
96.9
74.6
44.1
34.1
9.67
120
40.6
8.17
104
35.2
6.63
5.02
85.8
66.2
29.3
22.7
Ratio rx / ry
1.50
1.49
1.49
1.49
1.48
1.48
1.72
1.72
1.71
ry, In.
2.34
2.39
2.44
2.47
2.49
2.52
2.05
2.07
2.10
2.13
Bx, Bending Factor
0.408
0.395
0.380
0.371
0.366
0.360
0.403
0.393
0.386
0.379
0.566
0.553
By, Bending Factor
0.550
0.527
ax, ÷ 10 6
30.0
25.5
ay, ÷ 10 6
13.4
11.5
0.505
20.5
9.23
0.493
0.483
17.6
14.5
7.96
6.59
0.472
11.1
5.09
0.595
17.9
6.06
0.580
15.5
5.26
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
21
12.8
4.38
1.71
9.89
3.39
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
10 x 4
Nominal Size
Wall Thickness
Weight Per Foot
5/8
1/2
3/8
50.81
42.05
32.58
5/16
1/4
3/16
22.42
17.08
0.581
0.465
0.349
0.291
0
2
3
4
5
386
371
361
350
337
320
308
300
291
281
248
238
233
226
219
209
202
197
192
186
166
161
158
155
151
110
108
106
104
101
6
7
8
9
10
324
309
293
276
258
270
259
246
233
219
211
202
193
183
173
179
172
164
156
148
146
140
134
128
121
11
12
13
14
15
239
219
198
175
153
204
188
171
154
135
161
150
138
125
111
139
129
119
108
97
16
17
18
19
20
134
119
106
95
86
119
105
94
84
76
98
87
77
69
63
21
22
23
24
25
78
71
65
60
55
====
69
63
57
53
49
45
====
Effective length KL in feet
Design Wall Thickness
26
27
28
29
30
ERW
10 x 3 1/2
27.59
0.233*
x
10 x 3
3/16
3/8
16.44
30.03
0.174*
0.174*
Fy = 46 ksi
5/16
25.46
1/4
20.72
3/16
15.80
1/8
10.71
0.349
0.291
0.233*
0.174*
0.116*
106
103
101
98
96
228
216
208
199
189
193
184
177
169
161
153
147
143
138
132
101
97
95
92
89
57
55
54
53
51
99
96
93
90
86
93
90
86
82
78
177
165
151
137
122
152
142
131
119
106
124
116
108
99
89
86
82
78
73
67
49
48
46
44
41
114
107
99
90
81
83
78
74
68
63
73
68
62
54
47
105
89
76
65
57
93
79
67
58
50
78
67
57
49
43
60
53
45
39
34
38
35
32
27
24
86
76
68
61
55
72
64
57
51
46
56
50
44
40
36
42
37
33
29
27
50
44
39
35
32
====
44
39
35
31
28
====
38
34
30
27
24
30
26
23
21
19
21
19
17
15
13
57
52
47
43
40
50
45
41
38
35
42
38
35
32
30
32
30
27
25
23
24
22
20
18
17
====
22
====
17
====
12
11
====
37
34
====
32
30
====
27
25
24
====
21
20
18
====
8.97
7.59
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
Ix, In. 4
Iy, In. 4
14.0
149
129
4.67
4.50
8.27
7.01
74.7
57.8
53.6
88.0
76.3
21.2
17.7
13.9
10.3
12.4
11.0
5.70
63.6
4.32
49.4
2.93
34.2
9.28
7.33
5.16
2.09
2.07
2.06
2.05
2.04
2.28
2.66
2.63
2.62
2.60
2.57
ry, In.
1.54
1.59
1.64
1.67
1.70
1.72
1.51
1.22
1.25
1.28
1.30
1.33
Bx, Bending Factor
0.470
0.450
0.431
0.421
0.413
0.404
0.420
0.470
0.459
0.448
0.437
0.428
0.697
0.672
0.765
0.956
0.921
0.884
0.852
8.63
8.00
9.50
7.38
5.11
2.08
1.54
1.39
1.09
0.771
ay, ÷ 10 6
0.838
22.3
4.99
0.789
19.3
4.39
24.3
6.17
90.1
2.11
ax, ÷ 10 6
29.4
104
Ratio rx / ry
By, Bending Factor
33.4
11.6
0.738
15.5
3.63
0.716
13.5
3.17
11.2
2.64
1.00
13.1
1.85
11.4
1.64
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
22
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
Weight Per Foot
Design Wall Thickness
Effective length KL in feet
ERW
10 x 2
Wall Thickness
9x7
3/8
5/16
1/4
27.48
23.34
19.02
0.349
0.291
x
0.233*
3/16
14.53
0.174*
5/8
1/2
3/8
59.32
48.85
37.69
0.581
0.465
Fy = 46 ksi
5/16
31.84
1/4
25.82
3/16
19.63
0.349
0.291
0.233
0.174*
0
2
3
4
5
209
190
176
160
142
177
162
151
138
123
140
131
124
114
102
92
87
83
78
73
453
443
438
431
425
373
365
360
355
350
287
281
278
274
270
242
237
234
231
228
196
192
190
187
185
136
134
132
131
130
6
7
8
9
10
121
98
76
60
49
106
88
69
54
44
89
75
59
47
38
67
59
48
38
31
417
410
401
393
383
344
338
331
324
317
266
261
256
251
245
224
220
216
212
207
182
179
175
172
168
128
126
124
122
120
11
12
13
14
15
40
34
29
====
36
31
26
====
31
26
23
====
25
21
18
16
====
374
364
353
342
331
309
301
293
284
275
239
233
227
221
214
202
197
192
187
181
164
160
156
152
148
118
116
114
111
108
16
17
18
19
20
319
307
295
282
269
266
256
246
236
225
207
200
192
184
176
175
169
163
157
150
143
138
133
128
123
106
103
100
96
93
21
22
23
24
25
255
241
226
211
195
214
203
191
179
167
168
160
151
142
133
143
136
129
122
114
117
112
106
100
94
89
86
81
77
72
26
27
28
29
30
181
168
156
145
136
154
143
133
124
116
123
114
106
99
93
106
98
91
85
80
88
81
76
71
66
68
63
59
55
51
31
32
33
34
35
127
119
112
106
100
109
102
96
90
85
87
81
77
72
68
75
70
66
62
59
62
58
55
51
48
48
45
42
40
37
36
37
38
39
40
94
89
85
80
76
81
76
72
69
65
64
61
58
55
52
55
52
50
47
45
46
43
41
39
37
35
34
32
30
29
PROPERTIES
Area, In.2
Ix, In. 4
7.58
71.7
6.43
62.6
5.24
52.5
3.98
16.4
41.0
13.5
174
149
117
100
10.4
119
8.76
102
7.10
5.37
84.1
64.7
57.2
44.1
Iy, In. 4
4.69
4.24
3.67
2.97
Ratio rx / ry
3.91
3.84
3.78
3.72
1.22
1.22
1.22
1.21
1.21
1.21
ry, In.
0.786
0.812
0.837
0.864
2.68
2.73
2.78
2.81
2.84
2.87
Bx, Bending Factor
0.529
0.514
0.499
0.485
0.424
0.408
0.393
0.386
0.380
0.373
1.62
1.52
1.43
1.34
0.434
0.426
9.35
7.84
6.12
26.0
22.3
17.8
15.2
0.633
0.548
0.444
17.5
14.9
12.0
10.3
By, Bending Factor
ax, ÷ 10 6
ay, ÷ 10 6
10.7
0.700
0.491
0.473
80.4
0.453
69.2
0.443
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
23
12.6
8.54
9.66
6.59
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
Wall Thickness
5/8
1/2
3/8
Weight Per Foot
50.81
42.05
32.58
Design Wall Thickness
Effective length KL in feet
ERW
9x5
Nominal Size
x
9x3
5/16
1/4
3/16
1/2
3/8
5/16
1/4
3/16
27.59
22.42
17.08
35.24
27.48
23.34
19.02
14.53
0.581
0.465
0.349
0.291
0.233
0
2
3
4
5
386
375
367
359
350
320
311
305
298
291
248
240
236
231
226
209
204
200
196
191
170
166
163
159
156
6
7
8
9
10
340
329
318
306
293
283
274
265
256
245
220
214
207
200
192
186
181
175
169
163
11
12
13
14
15
279
265
250
235
218
235
223
211
199
186
184
176
167
158
148
16
17
18
19
20
201
184
165
148
134
173
159
144
129
117
21
22
23
24
25
121
111
101
93
86
26
27
28
29
30
31
32
33
34
35
0.174*
Fy = 46 ksi
0.233
0.174*
0.465
0.349
0.291
117
114
113
111
109
269
254
244
232
219
209
198
191
182
172
177
168
162
155
147
145
137
133
127
121
98
94
92
89
86
152
148
143
138
133
107
105
102
100
97
204
189
171
153
133
162
150
138
125
110
139
129
119
108
97
114
107
99
90
81
82
78
74
69
63
157
150
142
135
127
128
123
117
111
104
94
90
87
83
79
112
94
80
69
60
95
80
68
59
51
84
71
61
52
46
71
61
52
45
39
55
48
41
35
31
138
128
117
106
96
119
110
101
92
83
98
91
84
77
69
75
70
65
59
53
53
47
42
38
====
45
40
36
32
29
====
40
35
32
28
26
====
34
30
27
24
22
27
24
21
19
17
106
96
88
81
75
87
79
72
67
61
75
68
63
57
53
63
57
52
48
44
48
44
40
37
34
20
====
16
====
79
73
68
64
59
69
64
60
56
52
57
53
49
46
43
49
45
42
39
37
41
38
35
33
31
32
29
27
25
24
56
52
====
49
46
====
40
37
35
====
34
32
30
29
====
29
27
25
24
====
22
21
20
18
17
====
36
37
38
39
40
PROPERTIES
Area, In.2
Ix, In. 4
Iy, In. 4
14.0
133
115
7.59
6.17
4.67
9.74
7.58
92.5
79.8
66.1
51.1
80.8
66.3
36.8
32.0
26.6
20.7
13.2
11.2
6.43
57.7
5.24
48.2
3.98
37.6
9.88
8.38
6.63
1.60
1.60
1.59
1.58
1.58
1.57
2.47
2.43
2.42
2.40
2.38
ry, In.
1.92
1.97
2.03
2.05
2.08
2.10
1.16
1.21
1.24
1.27
1.29
Bx, Bending Factor
0.474
0.454
0.436
0.428
0.420
0.411
0.542
0.514
0.501
0.489
0.476
0.593
0.580
0.564
1.11
1.02
0.976
0.938
0.900
9.87
7.63
9.90
8.62
7.20
5.61
3.97
3.09
1.67
1.48
1.25
0.990
ax, ÷ 10 6
ay, ÷ 10 6
0.674
19.9
7.75
45.2
8.97
Ratio rx / ry
By, Bending Factor
51.9
11.6
0.642
17.2
6.75
0.609
13.8
5.50
11.9
4.78
12.1
1.97
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
24
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
5/8
1/2
3/8
Weight Per Foot
50.81
42.05
32.58
Design Wall Thickness
Effective length KL in feet
ERW
8x6
Wall Thickness
x
8x4
5/16
27.59
1/4
22.42
3/16
17.08
5/8
42.30
0.581
0.465
0.349
0.291
0.233
0.174*
0
2
3
4
5
386
377
371
364
357
320
312
308
302
296
248
242
238
234
230
209
205
202
198
195
170
166
164
161
158
123
121
119
118
116
323
310
301
292
281
6
7
8
9
10
349
341
332
322
312
290
283
276
269
261
225
220
215
209
203
191
186
182
177
172
155
152
148
145
141
114
112
110
108
105
11
12
13
14
15
302
291
279
267
255
252
243
234
225
215
197
190
183
176
169
167
162
156
150
144
136
132
127
123
118
16
17
18
19
20
242
229
215
200
185
204
193
182
171
159
161
153
145
136
128
137
131
124
117
109
21
22
23
24
25
170
155
141
130
120
146
134
122
112
104
118
109
100
91
84
26
27
28
29
30
111
103
95
89
83
96
89
83
77
72
31
32
33
34
35
78
73
69
65
61
36
37
38
39
40
58
55
====
1/2
35.24
3/8
5/16
1/4
27.48
23.34
19.02
3/16
14.53
1/8
9.86
0.349
0.291
0.233
0.174*
0.116*
269
258
252
244
235
209
201
196
191
184
177
171
167
162
157
145
139
136
132
128
104
101
99
97
95
60
58
57
56
55
269
256
243
228
213
226
216
205
194
181
177
170
162
153
144
151
145
138
131
123
123
118
113
108
102
92
90
86
82
78
54
52
51
49
47
103
100
97
93
90
196
179
161
141
123
168
155
140
125
109
134
124
114
102
91
115
107
98
89
79
95
89
82
74
66
73
68
63
58
52
45
43
41
38
35
113
107
102
96
90
86
82
78
74
69
108
96
85
77
69
96
85
76
68
61
80
71
63
56
51
69
61
55
49
44
58
52
46
41
37
46
41
36
33
29
32
28
25
23
20
102
94
86
79
73
84
78
71
66
60
65
60
55
51
47
63
57
52
48
44
====
56
51
46
43
39
46
42
39
35
33
40
37
33
31
28
34
31
28
26
24
27
24
22
20
19
19
17
15
14
13
78
72
67
63
59
67
62
58
54
50
56
52
48
45
42
43
40
37
35
33
36
====
30
====
26
24
====
22
21
====
17
16
15
====
12
11
10
====
67
63
59
56
53
55
51
48
46
43
47
44
42
39
37
39
37
35
33
31
30
29
27
25
24
50
47
45
====
41
38
36
35
====
35
33
31
30
28
29
28
26
25
24
23
21
20
19
18
8.97
7.59
6.17
0.581
0.465
Fy = 46 ksi
PROPERTIES
Area, In.2
Ix, In. 4
Iy, In. 4
14.0
114
72.2
11.6
4.67
11.7
9.74
7.58
6.43
5.24
3.98
98.2
79.1
68.3
56.6
43.7
81.9
71.7
58.7
51.0
42.5
33.1
62.5
50.6
43.8
36.4
28.2
26.6
23.6
19.6
17.2
14.4
11.3
2.70
22.9
7.90
Ratio rx / ry
1.26
1.25
1.25
1.25
1.25
1.24
1.75
1.74
1.73
1.72
1.72
1.71
ry, In.
2.27
2.32
2.38
2.40
2.43
2.46
1.51
1.56
1.61
1.63
1.66
1.69
1.71
Bx, Bending Factor
0.491
0.473
0.454
0.445
0.436
0.427
0.571
0.543
0.517
0.504
0.493
0.481
0.472
0.520
0.509
0.497
0.825
0.773
0.748
0.728
0.704
0.684
8.45
6.53
8.77
7.62
6.35
4.94
3.42
5.44
4.21
2.93
2.57
2.15
1.69
1.18
By, Bending Factor
0.582
ax, ÷ 10 6
17.0
ay, ÷ 10 6
10.8
0.557
14.7
9.33
0.532
11.8
7.56
10.2
6.54
0.880
12.2
3.97
10.7
3.52
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
25
1.70
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
ERW
8x3
Nominal Size
Wall Thickness
1/2
Weight Per Foot
31.84
Design Wall Thickness
0.465
3/8
5/16
24.93
21.21
0.349
0.291
x
8x2
1/4
17.32
0.233
3/16
13.25
0.174*
1/8
3/8
9.01
22.37
0.116*
5/16
19.08
1/4
15.62
3/16
11.97
0.349
0.291
0.233
0.174*
1/8
8.16
0.116*
Effective length KL in feet
Fy = 46 ksi
0
2
3
4
5
243
229
220
209
197
190
180
173
165
156
161
153
147
141
134
132
125
120
115
110
94
91
88
86
82
53
52
50
49
48
171
155
143
130
115
145
132
123
112
100
119
108
101
93
83
85
80
76
71
65
47
45
43
41
38
6
7
8
9
10
184
170
154
137
119
146
136
124
112
99
126
117
108
98
87
103
96
89
81
72
79
74
69
63
57
46
44
42
39
37
98
79
60
48
39
86
71
55
43
35
72
61
48
38
30
57
48
39
31
25
35
32
27
22
18
11
12
13
14
15
100
84
71
62
54
85
71
61
52
46
75
64
54
47
41
63
54
46
39
34
50
43
36
31
27
34
30
26
22
19
32
27
====
29
24
21
====
25
21
18
====
20
17
15
13
====
15
12
11
9
====
16
17
18
19
20
47
42
37
33
====
40
36
32
28
26
====
36
32
28
25
23
====
30
27
24
21
19
====
24
21
19
17
15
17
15
14
12
11
14
====
10
====
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
8.81
Ix, In. 4
58.5
Iy, In. 4
11.7
6.88
48.5
5.85
42.4
4.77
35.5
3.63
27.8
2.46
19.3
6.18
38.2
5.26
33.7
4.30
28.5
3.28
22.4
2.23
15.7
9.94
8.81
7.49
5.94
4.20
3.72
3.38
2.94
2.39
1.72
Ratio rx / ry
2.24
2.21
2.19
2.18
2.16
2.14
3.20
3.16
3.11
3.06
3.02
ry, In.
1.15
1.20
1.23
1.25
1.28
1.31
0.776
0.801
0.827
0.853
0.879
Bx, Bending Factor
0.602
0.567
0.552
0.537
0.522
0.510
0.647
0.624
0.604
0.586
0.568
By, Bending Factor
1.13
1.04
0.996
0.955
0.917
0.879
1.66
1.56
1.46
1.37
1.30
ax, ÷ 10 6
8.74
7.24
6.33
5.30
4.15
2.88
5.70
5.03
4.26
3.35
2.34
ay, ÷ 10 6
1.75
1.48
1.32
1.12
0.887
0.627
0.556
0.505
0.439
0.357
0.257
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
26
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
ERW
7x5
Nominal Size
x
7x4
Wall Thickness
5/8
1/2
3/8
5/16
1/4
3/16
1/8
1/2
3/8
5/16
1/4
3/16
1/8
Weight Per Foot
42.30
35.24
27.48
23.34
19.02
14.53
9.86
31.84
24.93
21.21
17.32
13.25
9.01
Effective length KL in feet
Design Wall Thickness
0.581
0.465
0.349
0.291
0.233
0.174
0.116*
Fy = 46 ksi
0.465
0.349
0.291
0.233
0.174
0.116*
0
2
3
4
5
323
313
306
299
291
269
261
255
250
243
209
203
199
195
190
177
172
169
165
161
145
140
138
135
132
110
107
105
103
100
64
63
62
61
60
243
233
227
220
212
190
183
178
173
167
161
155
151
147
142
132
127
124
120
116
100
97
94
92
89
58
56
55
54
53
6
7
8
9
10
282
273
263
252
241
236
229
221
212
203
185
179
173
167
160
157
152
147
142
137
128
125
121
116
112
98
95
92
89
86
59
58
56
55
53
203
194
184
173
162
160
153
146
138
129
137
131
125
118
111
112
107
103
97
92
86
82
78
74
70
52
50
48
47
45
11
12
13
14
15
229
217
204
190
176
194
184
173
162
151
153
145
138
129
121
131
125
118
111
104
107
102
97
92
86
82
78
75
71
66
52
50
48
46
44
150
137
123
109
95
120
111
101
90
79
104
96
88
79
70
86
80
73
66
59
66
61
56
51
46
43
40
38
35
32
16
17
18
19
20
161
145
130
116
105
139
127
114
102
92
112
103
93
84
75
97
89
81
73
66
80
74
68
61
55
62
58
53
48
43
42
39
36
33
30
84
74
66
59
53
70
62
55
49
45
61
54
49
44
39
52
46
41
37
33
41
36
32
29
26
28
25
22
20
18
21
22
23
24
25
95
87
79
73
67
84
76
70
64
59
68
62
57
52
48
60
55
50
46
42
50
46
42
38
35
39
36
33
30
28
27
25
23
21
19
48
44
40
37
34
====
40
37
34
31
28
36
32
30
27
25
30
27
25
23
21
24
21
20
18
17
17
15
14
13
12
26
27
28
29
30
62
58
54
50
47
55
51
47
44
41
45
41
39
36
34
39
36
34
31
29
33
30
28
26
25
26
24
22
21
19
18
16
15
14
13
26
====
23
====
20
18
====
15
14
====
11
10
9
====
31
32
33
34
35
44
====
38
====
31
29
====
27
26
24
====
23
22
20
====
18
17
16
15
====
12
12
11
10
====
9.74
7.58
6.43
36
37
38
39
40
PROPERTIES
Area, In.2
11.7
5.24
Ix, In. 4
69.3
60.6
49.5
43.0
35.8
27.9
3.98
19.3
2.70
50.6
8.81
41.8
6.88
36.4
5.85
30.5
4.77
23.8
3.63
Iy, In. 4
40.5
35.6
29.2
25.5
21.3
16.6
11.6
20.7
17.3
15.2
12.8
10.0
2.46
16.6
7.03
Ratio rx / ry
1.31
1.30
1.30
1.30
1.30
ry, In.
1.86
1.91
1.96
1.99
2.02
2.05
2.07
1.53
1.58
1.61
1.64
1.66
1.69
Bx, Bending Factor
0.591
0.563
0.536
0.523
0.512
0.499
0.490
0.609
0.576
0.563
0.547
0.534
0.519
0.722
0.684
0.649
0.630
0.615
0.599
0.582
0.851
0.795
0.770
0.745
0.726
0.700
9.05
7.39
6.42
5.35
4.17
2.88
7.56
6.24
5.44
4.55
3.55
2.48
5.32
4.36
3.81
3.18
2.48
1.73
3.09
2.58
2.27
1.91
1.49
1.05
By, Bending Factor
ax, ÷ 10 6
ay, ÷ 10 6
10.3
6.05
1.30
1.29
1.56
1.55
1.55
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
27
1.54
1.54
1.54
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
ERW
7x3
6x5
Wall Thickness
1/2
3/8
5/16
1/4
3/16
1/8
Weight Per Foot
28.43
22.37
19.08
15.62
11.97
8.16
Design Wall Thickness
0.465
0.349
0.291
x
0.233
0.116*
0.174
3/8
5/16
1/4
3/16
24.93
21.21
17.32
13.25
0.349
0.291
0.233
0.174
Effective length KL in feet
Fy = 46 ksi
0
2
3
4
5
217
205
197
187
176
171
161
155
148
140
145
137
132
126
120
119
113
108
104
99
91
86
83
79
75
52
50
49
47
46
190
184
180
176
172
161
157
154
150
146
132
128
125
123
120
100
97
95
93
91
6
7
8
9
10
164
151
137
121
105
131
121
111
100
88
112
104
96
86
77
93
86
80
72
65
71
66
61
56
50
44
42
39
37
34
167
162
156
150
144
142
138
133
128
123
116
113
109
105
101
89
86
83
81
77
11
12
13
14
15
88
74
63
54
47
75
63
54
46
40
66
55
47
41
35
56
48
41
35
30
44
38
32
28
24
31
27
23
20
17
137
130
123
115
107
118
112
106
99
93
97
92
87
82
77
74
71
67
63
59
16
17
18
19
20
41
37
33
29
====
35
31
28
25
====
31
28
25
22
20
====
27
24
21
19
17
====
21
19
17
15
14
15
13
12
11
10
99
90
81
73
66
86
79
71
64
58
71
66
60
54
48
55
51
47
42
38
12
====
9
====
60
54
50
46
42
52
48
44
40
37
44
40
37
34
31
34
31
29
26
24
26
27
28
29
30
39
36
34
31
29
34
32
29
27
26
29
27
25
23
22
22
21
19
18
17
31
32
33
34
35
27
26
====
24
23
====
20
19
18
====
16
15
14
====
21
22
23
24
25
36
37
38
39
40
PROPERTIES
Area, In.2
7.88
Ix, In. 4
40.7
Iy, In. 4
10.2
6.18
34.0
5.26
29.9
4.30
3.28
25.2
19.8
2.23
13.8
6.88
5.85
4.77
3.63
33.9
29.6
24.7
19.3
25.5
22.3
18.7
14.6
8.70
7.74
6.59
5.24
3.71
Ratio rx / ry
2.00
1.98
1.97
1.96
1.94
1.93
1.15
1.15
1.15
ry, In.
1.14
1.19
1.21
1.24
1.26
1.29
1.92
1.95
1.98
2.01
Bx, Bending Factor
0.678
0.636
0.616
0.597
0.580
0.566
0.609
0.593
0.579
0.564
By, Bending Factor
1.16
1.07
1.02
0.979
0.939
0.902
0.675
0.656
0.638
0.622
ax, ÷ 10 6
6.08
5.08
4.47
3.76
2.96
2.06
5.06
4.42
3.69
2.88
ay, ÷ 10 6
1.52
1.30
1.16
0.984
0.782
0.554
3.81
3.33
2.79
2.18
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
28
1.15
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
Wall Thickness
Weight Per Foot
Design Wall Thickness
Effective length KL in feet
ERW
6x4
Nominal Size
6x3
1/2
3/8
5/16
1/4
3/16
1/8
1/2
3/8
5/16
1/4
28.43
22.37
19.08
15.62
11.97
8.16
25.03
19.82
16.96
13.91
0.116*
0.465
Fy = 46 ksi
0.465
0.349
0.291
0.233
0.174
0
2
3
4
5
217
209
203
196
189
171
164
160
155
149
145
140
136
132
127
119
114
111
108
104
91
87
85
83
80
56
54
53
52
51
6
7
8
9
10
181
172
163
153
143
143
137
130
122
114
122
117
111
105
99
101
96
92
87
82
77
74
70
67
63
11
12
13
14
15
131
120
107
94
82
106
97
88
78
68
92
85
77
69
61
76
71
64
58
51
16
17
18
19
20
72
64
57
51
46
60
53
48
43
38
53
47
42
38
34
21
22
23
24
25
42
38
35
32
29
====
35
32
29
27
25
====
26
27
28
29
30
x
3/16
10.70
0.174
1/8
7.31
0.116*
0.349
0.291
0.233
192
181
173
164
154
151
143
137
131
123
129
122
117
112
106
106
100
97
92
88
81
77
74
71
67
50
48
47
45
43
49
48
46
44
42
143
132
119
105
90
115
107
97
87
76
99
92
84
76
67
82
77
70
64
56
63
59
55
50
44
41
39
37
34
31
59
54
50
45
40
40
38
35
32
28
75
63
53
46
40
64
54
46
40
35
57
48
41
35
31
49
41
35
30
26
39
33
28
24
21
27
23
20
17
15
45
40
36
32
29
35
31
28
25
23
25
22
20
18
16
35
31
28
====
30
27
24
22
====
27
24
21
19
====
23
21
18
16
15
====
19
16
15
13
12
====
13
12
10
9
8
31
28
26
24
22
26
24
22
20
18
20
19
17
16
14
14
13
12
11
10
20
====
17
====
13
12
====
9
9
====
8
====
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
7.88
6.18
5.26
4.30
Ix, In. 4
33.9
28.3
24.8
20.9
Iy, In. 4
17.7
14.9
13.1
11.1
3.28
2.23
16.4
11.4
6.95
26.8
5.48
22.7
4.68
20.1
3.84
17.0
2.93
13.4
2.00
9.43
8.76
6.15
8.65
7.47
6.66
5.70
4.55
3.23
1.71
Ratio rx / ry
1.38
1.38
1.38
1.37
1.37
1.36
1.76
1.74
1.74
1.73
1.72
ry, In.
1.50
1.55
1.58
1.61
1.63
1.66
1.12
1.17
1.19
1.22
1.25
1.27
Bx, Bending Factor
0.697
0.655
0.636
0.617
0.600
0.587
0.778
0.724
0.699
0.678
0.656
0.636
By, Bending Factor
0.890
0.830
0.803
0.775
0.749
0.725
1.21
1.10
1.05
1.01
0.966
0.929
ax, ÷ 10 6
5.06
4.23
3.70
3.12
2.45
1.70
4.00
3.39
3.00
2.54
2.00
1.41
ay, ÷ 10 6
2.64
2.23
1.96
1.66
1.31
0.918
1.29
1.12
0.995
0.851
0.679
0.482
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
29
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
x
ERW
6x2
5x4
Wall Thickness
3/8
5/16
1/4
3/16
1/8
1/2
3/8
5/16
1/4
3/16
Weight Per Foot
17.27
14.83
12.21
9.42
6.46
25.03
19.82
16.96
13.91
10.70
0.233
0.174
0.116*
0.465
Fy = 46 ksi
Effective length KL in feet
Design Wall Thickness
0.349
0.291
0
2
3
4
5
132
119
110
99
87
113
103
95
87
77
93
85
79
72
64
71
65
61
56
50
44
41
39
37
34
192
184
178
172
166
6
7
8
9
10
74
58
45
35
29
65
53
41
32
26
56
46
36
28
23
44
37
29
23
19
31
26
21
17
14
11
12
13
14
15
24
20
====
22
18
15
====
19
16
14
====
15
13
11
====
11
9
8
7
====
0.349
0.291
0.233
151
145
141
137
132
129
124
121
117
113
106
102
99
96
93
81
78
76
74
71
158
150
142
133
123
126
120
114
107
100
108
103
98
92
86
89
85
81
77
72
68
65
62
59
55
113
102
90
78
68
92
84
76
67
58
80
73
66
59
51
67
61
56
50
44
52
48
44
39
35
16
17
18
19
20
60
53
47
43
38
51
45
41
36
33
45
40
36
32
29
38
34
30
27
25
30
27
24
22
19
21
22
23
24
25
35
32
29
27
====
30
27
25
23
21
====
26
24
22
20
18
====
22
20
19
17
16
18
16
15
14
12
15
====
12
====
26
27
28
29
30
0.174
31
32
33
34
35
36
37
38
39
40
PROPERTIES
2
Area, In.
Ix, In. 4
4.78
17.1
4.10
15.3
3.37
13.1
2.58
1.77
10.5
6.95
5.48
4.68
7.42
21.2
17.9
15.8
14.8
12.6
11.1
3.84
13.4
2.93
10.6
Iy, In. 4
2.75
2.52
2.21
1.80
1.31
Ratio rx / ry
2.49
2.46
2.43
2.42
2.38
1.20
1.19
1.19
1.19
1.19
ry, In.
0.759
0.784
0.809
0.835
0.861
1.46
1.52
1.54
1.57
1.60
Bx, Bending Factor
0.839
0.804
0.772
0.737
0.716
0.820
0.765
0.741
0.716
0.691
By, Bending Factor
1.74
1.63
1.52
1.43
1.35
0.939
0.870
0.843
0.812
0.783
ax, ÷ 10 6
2.55
2.28
1.96
1.57
1.11
3.17
2.67
2.36
2.00
1.58
ay, ÷ 10 6
0.411
0.376
0.330
0.269
0.196
2.21
1.88
1.66
1.41
1.12
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
30
9.46
7.48
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
x
ERW
5x3
5 x 2 1/2
Wall Thickness
1/2
3/8
5/16
1/4
3/16
1/8
1/4
3/16
1/8
Weight Per Foot
21.63
17.27
14.83
12.21
9.42
6.46
11.36
8.78
6.03
0.233
0.174
0.116*
Effective length KL in feet
Design Wall Thickness
0.465
0.349
0.291
0
2
3
4
5
166
156
149
141
132
132
124
119
113
107
6
7
8
9
10
123
112
100
88
74
11
12
13
14
15
16
17
18
19
20
0.116*
0.233
0.174
Fy = 46 ksi
113
107
103
98
92
93
88
85
81
76
71
67
65
62
59
48
46
44
43
41
87
81
77
72
67
67
62
59
56
52
44
42
40
38
36
99
92
83
74
64
86
80
73
65
57
71
66
61
54
48
55
51
47
43
38
38
36
33
30
27
61
54
48
40
32
47
43
37
32
26
33
30
26
23
19
61
52
44
38
33
53
45
38
33
29
48
40
34
30
26
41
34
29
25
22
33
28
24
20
18
23
20
17
15
13
27
23
19
17
14
21
18
15
13
12
16
13
11
10
8
29
26
23
====
25
22
20
18
====
23
20
18
16
====
19
17
15
14
====
16
14
12
11
10
====
11
10
9
8
7
====
13
====
10
9
====
7
7
====
6.02
4.78
4.10
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
Ix, In. 4
16.4
14.1
12.6
3.37
10.7
2.58
1.77
3.14
2.41
1.65
8.53
6.03
9.40
7.51
5.34
Iy, In. 4
7.14
6.23
5.59
4.81
3.85
2.75
3.13
2.53
1.82
Ratio rx / ry
1.52
1.50
1.50
1.49
1.49
1.48
1.73
1.72
1.71
ry, In.
1.09
1.14
1.17
1.19
1.22
1.25
0.998
1.02
1.05
Bx, Bending Factor
0.918
0.848
0.813
0.787
0.756
0.734
0.835
0.802
0.772
By, Bending Factor
1.26
1.15
1.10
1.05
1.01
0.965
1.25
1.19
1.13
ax, ÷ 10 6
2.45
2.11
1.88
1.60
1.27
0.900
1.40
1.12
0.797
ay, ÷ 10 6
1.07
0.930
0.835
0.718
0.575
0.411
0.467
0.378
0.272
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
31
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
5x2
Nominal Size
Wall Thickness
Weight Per Foot
Effective length KL in feet
Design Wall Thickness
ERW
4x3
3/8
5/16
1/4
3/16
1/8
3/8
14.72
12.70
10.51
8.15
5.61
14.72
0.116*
5/16
12.70
x
4 x 2 1/2
1/4
3/16
1/8
5/16
1/4
3/16
10.51
8.15
5.61
11.64
9.66
7.51
0.174
0.116
0.291
0.233
0.174
0.349
0.291
Fy = 46 ksi
41
39
36
34
30
113
106
102
96
91
97
92
88
83
78
80
76
73
69
65
62
58
56
54
51
43
40
39
37
35
89
83
78
73
67
74
69
65
61
56
57
53
50
47
44
38
31
25
19
16
27
22
18
14
11
84
77
69
61
52
73
67
61
54
46
61
56
51
46
40
48
44
40
36
32
33
31
28
25
22
61
53
46
37
30
51
45
39
32
26
40
36
31
26
21
13
11
9
====
9
8
7
6
====
43
36
31
27
23
39
32
28
24
21
34
28
24
21
18
27
23
19
17
15
19
16
14
12
10
25
21
18
15
13
====
22
18
16
13
12
18
15
13
11
9
20
18
16
====
18
16
14
====
16
14
13
11
====
13
11
10
9
====
9
8
7
6
6
====
10
====
8
====
0.349
0.291
0.233
0.174
0
2
3
4
5
113
102
94
84
74
97
88
81
74
65
80
73
68
62
55
62
56
53
48
43
6
7
8
9
10
62
48
37
29
24
55
44
34
27
22
47
39
30
24
19
11
12
13
14
15
20
16
====
18
15
====
16
13
11
====
16
17
18
19
20
0.233
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
Ix, In. 4
4.09
10.3
3.52
2.91
2.24
1.54
4.09
3.52
2.91
2.24
1.54
3.23
2.67
2.06
9.34
8.08
6.50
4.65
7.92
7.13
6.15
4.93
3.52
6.13
5.32
4.30
Iy, In. 4
2.27
2.09
1.84
1.51
1.10
5.00
4.52
3.91
3.16
2.27
2.89
2.53
2.06
Ratio rx / ry
2.13
2.11
2.10
2.07
2.06
1.26
1.26
1.25
1.25
1.25
1.46
1.45
1.44
ry, In.
0.746
0.771
0.796
0.822
0.848
1.11
1.13
1.16
1.19
1.21
0.946
0.973
0.999
Bx, Bending Factor
0.993
0.942
0.900
0.862
0.828
1.03
0.987
0.946
0.909
0.875
1.05
1.00
0.958
By, Bending Factor
1.80
1.68
1.58
1.48
1.40
1.23
1.17
1.12
1.06
1.02
1.40
1.32
1.25
ax, ÷ 10 6
1.54
1.39
1.21
0.971
0.694
1.18
1.06
0.918
0.736
0.526
0.915
0.794
0.642
ay, ÷ 10 6
0.339
0.312
0.275
0.225
0.164
0.747
0.675
0.584
0.472
0.339
0.432
0.378
0.308
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
32
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
x
ERW
4x2
3 1/2 x 2 1/2
Wall Thickness
3/8
5/16
1/4
3/16
1/8
3/8
5/16
1/4
3/16
1/8
Weight Per Foot
12.17
10.58
8.81
6.87
4.75
12.17
10.58
8.81
6.87
4.75
0.233
0.174
0.116
0.349
Fy = 46 ksi
0.291
0.233
0.174
0.116
Effective length KL in feet
Design Wall Thickness
0.349
0.291
0
2
3
4
5
94
84
77
69
60
81
73
68
61
53
67
61
57
51
45
52
48
44
40
36
36
33
31
28
25
94
86
81
75
69
81
75
71
66
61
67
63
59
55
51
52
49
46
43
40
36
33
32
30
28
6
7
8
9
10
49
38
29
23
19
45
35
27
21
17
39
31
24
19
15
31
25
20
16
13
22
18
15
11
9
61
53
44
35
29
54
48
40
32
26
46
41
35
29
23
36
32
28
23
19
25
23
20
17
14
11
12
13
14
15
15
13
====
14
12
====
13
11
====
10
9
7
====
8
6
5
====
24
20
17
15
13
====
22
18
16
13
12
====
19
16
14
12
10
====
16
13
11
10
8
11
10
8
7
6
7
====
5
====
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
2
Area, In.
3.39
2.94
2.44
1.89
1.30
3.39
2.94
2.44
1.89
Ix, In. 4
5.59
5.12
4.49
3.66
2.65
4.74
4.34
3.79
3.09
2.23
Iy, In. 4
1.79
1.66
1.48
1.22
0.898
2.75
2.53
2.23
1.82
1.33
Ratio rx / ry
1.77
1.76
1.74
1.73
1.72
1.31
1.31
1.30
1.30
1.29
ry, In.
0.727
0.752
0.778
0.804
0.830
0.902
0.929
0.956
0.983
1.01
Bx, Bending Factor
1.21
1.15
1.09
1.03
0.981
1.25
1.19
1.13
1.07
1.02
By, Bending Factor
1.89
1.77
1.65
1.55
1.45
1.54
1.45
1.37
1.30
1.22
ax, ÷ 10 6
0.835
0.765
0.670
0.547
0.396
0.708
0.648
0.566
0.461
0.333
ay, ÷ 10 6
0.267
0.248
0.221
0.182
0.134
0.411
0.378
0.333
0.272
0.199
Note: Double Horizontal Line indicates k l/r limit of 200.
33
1.30
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
3 x 2 1/2
Nominal Size
x
ERW
3x2
3 x 1 1/2
5/16
1/4
3/16
1/8
5/16
1/4
3/16
1/8
1/4
3/16
1/8
Weight Per Foot
9.51
7.96
6.23
4.33
8.45
7.11
5.59
3.90
6.26
4.96
3.48
Design Wall Thickness
0.291
0.233
0.174
0.116
0.291
0.233
Fy = 46 ksi
0.174
0.116
0.233
0.174
0.116
Effective length KL in feet
Wall Thickness
0
2
3
4
5
73
67
63
59
54
61
57
53
50
46
47
44
42
39
36
33
31
29
27
25
65
58
53
48
41
54
49
45
41
36
43
39
36
32
29
30
27
25
23
20
48
41
36
30
22
38
33
29
24
19
26
23
21
18
14
6
7
8
9
10
48
42
35
28
23
41
36
31
25
20
32
29
25
20
16
23
21
18
15
12
34
26
20
16
13
30
23
18
14
11
24
20
15
12
10
18
14
11
9
7
16
11
9
7
====
13
10
8
6
====
10
8
6
5
4
====
11
12
13
14
15
19
16
13
11
10
====
17
14
12
10
9
====
14
11
10
8
7
10
8
7
6
5
11
9
====
9
8
====
8
7
====
6
5
4
====
6
====
5
====
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
2.64
2.21
1.71
1.19
2.35
1.97
1.54
1.07
1.74
1.37
0.96
Ix, In. 4
2.91
2.57
2.11
1.54
2.38
2.12
1.76
1.30
1.68
1.42
1.06
Iy, In. 4
2.17
1.93
1.59
1.16
1.23
1.11
0.931
0.692
0.541
0.466
0.355
Ratio rx / ry
1.16
1.15
1.15
1.15
1.39
1.38
1.37
1.37
1.76
1.75
1.73
ry, In.
0.907
0.935
0.962
0.990
0.724
0.750
0.777
0.804
0.558
0.584
0.610
Bx, Bending Factor
1.36
1.29
1.22
1.16
1.48
1.39
1.31
1.23
1.55
1.45
1.36
By, Bending Factor
1.52
1.43
1.34
1.28
1.91
1.77
1.65
1.55
2.41
2.20
2.03
ax, ÷ 10 6
0.435
0.384
0.315
0.230
0.355
0.317
0.263
0.194
0.251
0.212
0.158
ay, ÷ 10 6
0.324
0.288
0.237
0.173
0.184
0.166
0.139
0.103
0.081
0.070
0.053
Note: Double Horizontal Line indicates k l/r limit of 200.
34
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
3x1
x
ERW
2 1/2 x 1 1/2
2 x 1 1/2
2x1
Wall Thickness
3/16
1/8
1/4
3/16
1/8
3/16
1/8
3/16
1/8
Weight Per Foot
4.32
3.05
5.41
4.32
3.05
3.68
2.63
3.04
2.20
Design Wall Thickness
0.174
0.116
0.233
0.174
0.116
Fy = 46 ksi
0.174
0.116
0.174
0.116
0
2
3
4
5
33
25
18
11
7
23
18
14
9
6
42
35
31
25
19
33
28
25
21
16
23
20
18
15
12
28
24
21
17
13
20
17
15
13
10
23
17
12
7
5
17
13
10
6
4
6
7
8
9
10
5
====
4
====
13
9
7
6
====
11
8
6
5
====
9
6
5
4
====
9
7
5
4
====
7
5
4
3
====
3
====
3
====
Area, In.2
1.19
0.84
1.51
1.19
0.84
1.02
0.72
0.84
0.61
Ix, In. 4
1.07
0.817
1.03
0.881
0.668
0.494
0.383
0.349
0.280
Iy, In. 4
0.172
0.138
0.447
0.389
0.299
0.312
0.244
0.112
0.092
Ratio rx / ry
2.49
2.43
1.52
1.50
1.49
1.26
1.25
1.77
1.74
ry, In.
0.380
0.405
0.544
0.571
0.597
0.553
0.580
0.364
0.389
Bx, Bending Factor
1.67
1.54
1.83
1.69
1.57
2.06
1.88
2.41
2.18
By, Bending Factor
3.46
3.04
2.53
2.29
2.11
2.45
2.21
3.75
3.32
ax, ÷ 10 6
0.160
0.122
0.154
0.132
0.100
0.074
0.057
0.052
0.042
ay, ÷ 10 6
0.026
0.021
0.067
0.058
0.045
0.047
0.036
0.017
0.014
Effective length KL in feet
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Note: Double Horizontal Line indicates k l/r limit of 200.
35
HSS / Square
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
16 x 16
Nominal Size
Wall Thickness
5/8
Weight Per Foot
127.37
Effective length KL in feet
Design Wall Thickness
0.581
1/2
103.30
0.465
ERW
14 x 14
3/8
78.52
5/16
65.87
0.349*
0.291*
5/8
1/2
110.36
89.68
0.581
0.465
12 x 12
3/8
68.31
5/16
57.36
5/8
1/2
3/8
93.34
76.07
58.10
5/16
48.86
1/4
39.43
0.349*
Fy = 50 ksi
0.291*
0.581
0.465
0.349
0.291*
0.233*
0
2
3
4
5
1050
1040
1040
1030
1030
849
842
838
834
829
587
583
581
579
577
444
442
441
439
438
909
900
895
889
884
738
731
727
722
718
550
546
544
542
539
417
414
412
411
409
771
762
757
751
745
627
620
615
611
606
480
474
471
468
464
388
385
383
381
379
275
273
272
271
269
6
7
8
9
10
1020
1010
1010
1000
993
824
820
815
809
804
575
573
570
568
565
436
435
433
431
429
878
871
865
858
851
713
708
703
697
691
537
534
531
528
525
407
405
403
401
399
739
732
725
718
710
601
596
590
584
578
461
456
452
448
443
377
374
372
369
366
268
267
265
263
262
11
12
13
14
15
986
979
971
964
955
798
792
786
780
774
562
559
556
553
550
427
425
423
421
419
843
836
828
819
811
685
679
673
666
659
521
517
512
507
502
396
394
392
389
386
702
694
686
677
668
572
565
559
552
544
439
434
428
423
418
363
360
357
354
350
260
258
256
254
252
16
17
18
19
20
947
939
930
921
912
767
760
753
746
739
547
543
540
536
533
417
414
412
410
407
802
793
784
774
765
652
645
638
630
622
497
491
486
480
474
384
381
378
375
371
658
649
639
628
618
537
529
521
513
505
412
406
400
394
388
346
341
336
331
325
249
247
245
242
239
21
22
23
24
25
903
893
883
873
863
731
724
716
708
700
529
525
521
517
512
404
402
399
396
393
755
745
734
724
713
614
606
598
589
581
468
462
456
450
443
368
365
361
358
354
607
596
585
573
562
496
487
478
469
460
381
375
368
361
354
320
315
309
303
297
237
234
231
228
225
26
27
28
29
30
853
842
831
820
809
692
683
675
666
657
508
503
499
494
489
390
387
384
381
377
702
691
679
667
656
572
563
554
544
535
437
430
423
416
409
350
346
342
338
334
550
537
525
512
499
450
441
431
420
410
347
339
332
324
316
291
285
279
273
266
222
218
215
211
208
31
32
33
34
35
798
786
775
763
751
648
639
629
620
610
484
479
474
468
463
374
370
367
363
359
643
631
619
606
593
525
515
505
495
485
402
394
387
379
371
329
325
320
315
310
486
472
459
445
430
399
389
378
367
355
309
300
292
284
275
260
253
246
239
232
204
200
195
191
186
36
37
38
39
40
739
726
713
701
688
601
591
581
570
560
457
451
444
436
428
355
351
347
343
339
580
566
553
539
525
474
463
452
441
430
364
356
347
339
331
305
299
293
286
279
416
401
386
370
354
344
332
320
307
295
266
257
248
239
230
225
217
210
202
194
182
177
171
165
158
35.0
28.3
21.5
18.1
30.3
18.7
15.7
25.7
20.9
13.4
10.8
PROPERTIES
Area, In.2
I, In.
4
r, In.
B, Bending Factor
a ÷ 10 6
1370
6.25
0.204
205
1130
6.31
0.200
169
873
6.37
0.197
130
739
6.39
0.196
110
896
5.44
0.237
134
24.6
743
5.49
0.232
111
577
5.55
0.227
86.2
490
5.58
0.224
73.2
548
4.62
0.281
81.8
457
4.68
0.274
68.2
*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
36
16.0
357
4.73
0.269
53.3
304
4.76
0.264
45.4
248
4.79
0.261
37.0
HSS / Square
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
ERW
10 x 10
Nominal Size
9x9
Wall Thickness
5/8
1/2
3/8
5/16
1/4
3/16
1/2
3/8
5/16
1/4
3/16
Weight Per Foot
76.33
62.46
47.90
40.35
32.63
24.73
55.66
42.79
36.10
29.23
22.18
Effective length KL in feet
Design Wall Thickness
0.174*
Fy = 50 ksi
0.465
0.349
0.291
0.233
0.174*
254
251
250
248
246
162
160
159
158
158
459
451
447
442
437
354
348
345
341
337
298
293
290
287
284
241
237
235
232
230
154
153
152
151
150
316
313
309
305
301
245
243
241
238
236
156
155
154
153
152
432
426
419
413
406
333
329
324
319
314
280
277
273
269
264
227
224
221
218
214
148
147
146
144
143
352
347
341
336
330
296
292
287
283
278
234
231
228
225
222
150
149
148
146
144
399
391
384
376
367
309
303
297
291
285
260
255
250
245
240
211
207
203
199
195
141
140
138
136
134
420
411
402
393
384
324
317
311
304
297
272
267
262
256
250
219
216
212
207
203
143
141
139
137
135
359
350
341
331
322
278
272
265
258
251
235
229
224
218
212
191
186
181
177
172
132
130
128
125
123
454
442
429
417
404
375
365
355
345
335
290
283
275
268
260
245
238
232
226
219
198
193
188
183
178
133
131
129
127
124
312
301
291
280
269
243
235
228
219
211
206
199
193
186
179
167
162
157
151
146
120
118
115
112
109
26
27
28
29
30
390
377
363
349
334
324
313
302
291
279
252
244
236
227
218
213
206
199
192
185
173
167
162
156
150
122
119
116
113
110
258
246
234
222
209
203
194
185
176
166
172
165
157
150
142
140
134
128
122
116
105
102
98
93
89
31
32
33
34
35
319
304
288
272
257
267
255
243
230
217
209
200
191
181
172
177
170
162
154
146
145
138
132
126
119
107
103
100
96
91
197
184
173
163
154
157
147
138
130
123
134
126
118
112
105
110
103
97
91
86
84
79
74
70
66
36
37
38
39
40
243
230
218
207
197
205
194
184
175
166
162
154
146
138
131
138
131
124
117
112
113
107
101
96
92
87
82
78
74
70
146
138
131
124
118
116
110
104
99
94
99
94
89
85
81
81
77
73
69
66
62
59
56
53
51
17.2
13.2
11.1
6.76
15.3
11.8
9.92
8.03
0.581
0.465
0.349
0.291
0
2
3
4
5
630
621
615
609
603
516
508
504
500
495
396
390
387
384
380
333
328
326
323
319
6
7
8
9
10
597
590
582
574
566
489
484
478
471
465
376
372
367
362
357
11
12
13
14
15
558
549
539
530
520
458
451
443
436
428
16
17
18
19
20
510
499
488
477
466
21
22
23
24
25
0.233*
PROPERTIES
Area, In.2
I, In.
4
r, In.
B, Bending Factor
a ÷ 10 6
21.0
304
3.80
0.345
45.4
256
3.86
0.336
38.2
202
3.92
0.327
30.2
172
3.94
0.323
25.7
8.96
141
3.97
0.318
21.1
108
4.00
0.313
16.1
182
3.45
0.378
27.2
145
124
3.51
3.54
0.366
21.7
0.360
18.5
*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
37
102
3.56
0.354
15.2
6.06
78.2
3.59
0.349
11.7
HSS / Square
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
Nominal Size
ERW
8x8
7x7
Wall Thickness
5/8
1/2
3/8
5/16
1/4
Weight Per Foot
59.32
48.85
37.69
31.84
25.82
Design Wall Thickness
0.581
0.465
0.349
0.291
3/16
0.233
19.63
0.174*
5/8
1/2
3/8
5/16
1/4
50.81
42.05
32.58
27.59
22.42
0.581
0.465
0.349
0.291
0.233
3/16
17.08
0.174*
Effective length KL in feet
Fy = 50 ksi
0
2
3
4
5
492
482
477
471
464
405
397
393
388
382
312
306
303
299
295
263
258
255
252
249
213
209
207
204
202
146
144
143
142
141
420
410
405
398
391
348
340
336
330
325
269
263
260
256
252
228
223
220
217
213
185
181
179
176
173
137
135
134
132
131
6
7
8
9
10
457
449
441
432
423
377
370
364
357
350
291
286
281
276
271
245
241
237
233
228
199
196
192
189
185
139
138
136
135
133
384
376
367
358
348
319
312
305
298
290
247
242
237
232
226
209
205
201
196
192
170
167
164
160
156
129
127
124
121
118
11
12
13
14
15
414
404
394
383
372
342
334
326
317
308
265
259
253
246
240
224
219
214
208
203
181
178
173
169
165
131
129
127
124
122
338
328
317
306
294
282
274
265
256
246
220
213
207
200
193
187
181
176
170
164
152
148
144
139
134
115
112
109
106
102
16
17
18
19
20
361
349
337
324
311
299
290
280
270
259
233
226
218
211
203
197
191
185
179
172
160
155
151
145
140
119
117
114
111
107
281
269
256
242
228
236
226
216
205
193
186
178
170
162
153
158
152
145
138
131
129
124
119
114
108
98
95
91
87
82
21
22
23
24
25
298
284
270
255
240
249
238
226
215
203
195
187
178
170
161
166
159
152
145
137
135
130
124
118
112
103
99
95
90
86
213
198
183
168
155
182
170
157
144
133
145
136
126
117
108
124
117
109
101
93
102
96
90
84
77
78
74
69
64
59
26
27
28
29
30
224
209
194
181
169
190
177
165
154
144
151
142
132
123
115
129
122
114
106
99
106
100
93
87
81
81
77
72
67
63
143
133
123
115
107
123
114
106
99
92
100
92
86
80
75
86
80
74
69
65
72
66
62
58
54
55
51
47
44
41
31
32
33
34
35
158
148
140
132
124
135
126
119
112
106
108
101
95
90
85
93
87
82
77
73
76
71
67
63
60
59
55
52
49
46
101
94
89
84
79
87
81
76
72
68
70
66
62
58
55
61
57
53
50
48
50
47
44
42
40
39
36
34
32
30
36
37
38
39
40
117
111
105
100
95
100
95
90
85
81
80
76
72
68
65
69
65
62
59
56
56
53
51
48
46
43
41
39
37
35
75
71
67
64
60
64
61
58
55
52
52
49
47
44
42
45
43
40
38
36
37
35
34
32
30
29
27
26
24
23
16.4
13.5
10.4
8.76
14.0
11.6
8.97
7.59
6.17
4.67
93.3
80.5
PROPERTIES
Area, In.2
I, In.
4
r, In.
B, Bending Factor
a ÷ 10 6
146
2.99
0.449
21.8
125
3.04
0.432
18.7
99.6
3.10
0.418
14.9
85.6
3.13
0.409
12.8
7.10
5.37
70.7
54.4
3.15
3.18
0.402
0.395
10.6
8.12
2.58
0.525
13.9
64.9
46.5
36.0
2.69
2.72
2.75
2.77
0.504
0.484
0.474
0.464
0.454
9.69
8.38
6.94
5.38
12.0
*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
38
56.1
2.63
HSS / Square
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
6x6
Nominal Size
5 1/2 x 5 1/2
Wall Thickness
5/8
1/2
3/8
5/16
1/4
Weight Per Foot
42.30
35.24
27.48
23.34
19.02
Design Wall Thickness
Effective length KL in feet
ERW
3/16
1/8
3/8
5/16
1/4
3/16
1/8
14.53
9.86
24.93
21.21
17.32
13.25
9.01
0.581
0.465
0.349
0.291
0.233
0.174
0.116*
Fy = 50 ksi
0.349
0.291
0.233
0.174
0.116*
0
2
3
4
5
351
341
335
328
321
292
284
279
274
268
227
221
218
214
209
193
188
185
181
178
157
153
151
148
145
119
116
115
113
110
69
68
67
66
65
206
200
197
192
188
176
170
167
164
160
143
139
137
134
131
109
106
104
102
100
66
65
64
63
62
6
7
8
9
10
313
304
295
285
275
262
255
247
240
231
204
199
194
188
181
174
169
165
160
155
142
138
135
131
127
108
105
103
100
97
64
63
62
61
60
183
177
172
165
159
156
151
146
141
136
127
124
120
116
111
97
94
91
88
85
61
60
58
57
56
11
12
13
14
15
264
253
241
228
215
223
214
204
194
184
175
168
161
153
146
149
143
138
131
125
122
118
113
108
103
93
90
86
83
79
58
57
55
54
52
152
145
138
130
122
130
124
118
112
105
107
102
97
92
86
82
78
74
71
67
54
52
50
48
46
16
17
18
19
20
202
188
173
158
143
173
162
150
138
126
138
129
121
111
102
118
111
104
96
89
97
92
86
80
74
75
71
66
62
57
50
48
45
43
39
113
104
95
86
77
98
90
83
75
68
81
75
69
62
56
62
58
53
49
44
43
40
37
34
31
21
22
23
24
25
130
118
108
99
91
114
104
95
87
80
93
84
77
71
65
81
74
67
62
57
67
61
56
52
48
53
48
44
40
37
36
33
30
28
26
70
64
58
54
49
61
56
51
47
43
51
46
42
39
36
40
36
33
30
28
28
25
23
21
20
26
27
28
29
30
85
78
73
68
63
74
69
64
60
56
60
56
52
49
45
53
49
45
42
40
44
41
38
35
33
34
32
30
28
26
24
22
20
19
18
46
42
39
37
34
40
37
34
32
30
33
31
29
27
25
26
24
22
21
20
18
17
16
15
14
31
32
33
34
35
59
56
52
49
47
52
49
46
43
41
43
40
38
35
33
37
35
33
31
29
31
29
27
26
24
24
23
21
20
19
17
16
15
14
13
32
30
28
27
====
28
26
25
23
22
====
23
22
21
19
18
====
18
17
16
15
14
13
12
11
11
10
36
37
38
39
40
44
====
39
37
====
32
30
28
====
27
26
25
====
23
22
21
20
====
18
17
16
15
====
12
12
11
11
====
14
====
9
====
9.74
7.58
6.43
3.63
2.46
PROPERTIES
Area, In.2
I, In.
4
11.7
55.1
48.2
39.4
34.3
5.24
3.98
28.6
22.3
2.70
15.5
6.88
29.7
5.85
25.9
4.77
21.7
17.0
11.8
r, In.
2.17
2.23
2.28
2.31
2.34
2.37
2.39
2.08
2.11
2.13
2.16
2.19
B, Bending Factor
0.637
0.606
0.577
0.562
0.550
0.535
0.523
0.637
0.621
0.604
0.587
0.573
a ÷ 10 6
8.23
7.20
5.88
5.12
4.27
3.33
2.31
4.44
3.87
3.24
2.54
1.76
*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates K l/r limit of 200.
39
HSS / Square
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
5x5
Nominal Size
4 1/2 x 4 1/2
Wall Thickness
1/2
3/8
5/16
1/4
3/16
1/8
Weight Per Foot
28.43
22.37
19.08
15.62
11.97
8.16
Design Wall Thickness
Effective length KL in feet
ERW
3/8
5/16
1/4
3/16
1/8
19.82
16.96
13.91
10.70
7.31
0.174
0.116*
115
111
108
105
102
88
85
83
80
78
60
58
57
55
53
119
114
109
103
97
98
94
90
86
81
75
72
69
66
62
52
50
47
45
43
105
97
89
80
70
91
84
77
70
62
76
70
65
59
53
58
54
50
46
41
40
38
35
32
29
73
65
58
52
47
62
55
49
44
40
55
49
43
39
35
47
41
37
33
30
36
32
29
26
23
26
23
20
18
16
21
19
17
16
15
42
39
35
32
30
36
33
30
28
25
32
29
27
24
22
27
25
23
21
19
21
19
18
16
15
15
14
12
11
11
19
18
17
16
15
14
13
12
11
10
28
====
23
22
====
21
19
18
====
18
16
15
====
14
13
12
11
====
10
9
8
8
====
14
13
====
10
9
8
====
6.95
5.48
4.68
3.84
2.93
2.00
0.174
0.116*
0.465
Fy = 50 ksi
0.465
0.349
0.291
0.233
0
2
3
4
5
236
228
223
217
211
185
179
175
171
166
158
153
149
146
142
129
125
122
119
116
98
95
93
91
89
63
62
61
60
59
6
7
8
9
10
204
197
188
180
171
161
155
149
143
136
137
133
128
122
117
113
109
105
101
96
86
83
80
77
74
11
12
13
14
15
161
151
141
130
118
129
121
113
105
96
111
104
98
91
84
91
86
81
76
70
16
17
18
19
20
106
94
84
75
68
87
78
69
62
56
76
68
61
55
49
21
22
23
24
25
61
56
51
47
43
51
46
42
39
36
26
27
28
29
30
40
37
35
32
30
====
31
32
33
34
35
1/2
25.03
0.349
0.291
0.233
209
200
195
189
182
164
158
154
150
145
140
135
132
128
124
57
56
55
53
51
175
167
158
149
140
139
133
127
120
113
70
67
63
59
54
48
46
43
40
38
129
119
107
95
83
64
57
51
46
42
50
45
40
36
33
35
31
28
25
23
45
41
37
34
32
38
34
31
29
27
30
27
25
23
21
33
31
29
27
25
29
27
25
23
22
25
23
21
20
18
23
====
20
====
17
16
====
6.18
5.26
4.30
36
37
38
39
40
PROPERTIES
Area, In.2
I, In.
4
7.88
26.0
21.7
r, In.
1.82
1.87
B, Bending Factor
0.758
0.712
a ÷ 10 6
3.88
3.24
19.0
12.6
2.23
9.02
6.35
1.93
1.96
1.99
1.61
1.67
1.70
1.73
1.75
1.78
0.692
0.672
0.651
0.634
0.869
0.806
0.780
0.758
0.731
0.709
2.84
2.39
1.88
1.31
2.69
2.28
2.02
1.70
1.35
0.948
1.90
16.0
3.28
8.80
18.0
15.3
13.5
*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates K l/r limit of 200.
40
11.4
HSS / Square
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
ERW
4x4
Nominal Size
3 1/2 x 3 1/2
Wall Thickness
1/2
3/8
5/16
1/4
3/16
1/8
3/8
5/16
1/4
3/16
1/8
Weight Per Foot
21.63
17.27
14.83
12.21
9.42
6.46
14.72
12.70
10.51
8.15
5.61
0.174
0.116
Design Wall Thickness
0.465
0.349
0.291
0.233
0.174
0.116
0.349
0.291
0.233
Effective length KL in feet
Fy = 50 ksi
0
2
3
4
5
181
172
167
160
153
143
137
133
128
123
123
118
114
110
106
101
97
94
91
87
77
74
72
70
67
53
51
50
48
46
123
116
112
107
101
106
100
96
92
88
87
83
80
77
73
67
64
62
59
56
46
44
43
41
39
6
7
8
9
10
146
137
128
118
108
117
111
104
97
89
101
96
90
84
78
83
79
75
70
65
64
61
58
54
50
44
42
40
38
35
95
88
81
73
65
82
77
71
64
57
69
64
59
54
49
53
50
46
43
38
37
35
32
30
27
11
12
13
14
15
97
86
73
63
55
81
72
63
54
47
71
63
56
48
42
59
54
47
41
36
46
42
38
33
29
32
30
27
23
20
56
47
40
34
30
50
42
36
31
27
43
37
31
27
23
34
29
25
22
19
24
21
18
15
13
16
17
18
19
20
48
43
38
34
31
41
37
33
29
26
37
33
29
26
24
32
28
25
22
20
25
22
20
18
16
18
16
14
13
11
26
23
21
19
17
24
21
19
17
15
21
18
16
15
13
17
15
13
12
11
12
10
9
8
7
21
22
23
24
25
28
26
23
====
24
22
20
18
====
21
20
18
16
====
18
17
15
14
13
====
15
13
12
11
10
====
10
9
9
8
7
15
====
14
====
12
11
====
10
9
====
7
6
====
3.52
2.91
2.24
1.54
26
27
28
29
30
7
====
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
I, In.
4
6.02
11.9
4.78
10.3
4.10
3.37
2.58
1.77
4.09
9.14
7.80
6.21
4.40
6.48
5.84
5.04
4.05
2.90
r, In.
1.41
1.46
1.49
1.52
1.55
1.58
1.26
1.29
1.32
1.35
1.37
B, Bending Factor
1.01
0.928
0.897
0.864
0.831
0.805
1.10
1.05
1.01
0.968
0.929
a ÷ 10 6
1.78
1.54
1.36
1.16
0.927
0.657
0.968
0.872
0.753
0.605
0.433
Note: Double Horizontal Line indicates K l/r limit of 200.
41
HSS / Square
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
Nominal Size
3x3
Wall Thickness
Weight Per Foot
Effective length KL in feet
Design Wall Thickness
ERW
2 1/2 x 2 1/2
3/8
5/16
1/4
1/8
5/16
1/4
3/16
1/8
1/4
3/16
1/8
12.17
10.58
8.81
6.87
4.75
8.45
7.11
5.59
3.90
6.26
4.96
3.48
0.291
0.233
0.174
0.116
0.291
0.233
Fy = 50 ksi
0.174
0.116
0.233
0.174
0.116
0.349
3/16
2 1/4 x 2 1/4
0
2
3
4
5
102
95
90
85
79
88
82
79
74
69
73
69
66
62
58
57
53
51
48
45
39
37
35
33
31
71
65
60
55
50
59
54
51
47
43
46
43
40
37
34
32
30
28
26
24
52
47
44
40
35
41
37
35
32
28
29
26
25
23
20
6
7
8
9
10
72
64
56
48
39
63
57
50
43
36
53
48
43
37
31
42
38
34
30
25
29
27
24
21
18
44
37
29
23
19
38
32
26
21
17
30
26
22
17
14
21
19
16
13
10
30
24
18
14
12
24
20
15
12
10
18
15
12
9
7
11
12
13
14
15
32
27
23
20
17
29
25
21
18
16
26
22
18
16
14
21
18
15
13
11
15
13
11
9
8
16
13
11
10
====
14
12
10
9
7
====
12
10
8
7
6
====
9
7
6
5
5
10
8
7
====
8
7
6
====
6
5
4
4
====
16
17
18
19
20
15
13
====
14
12
11
====
12
11
10
====
10
9
8
7
====
7
6
6
5
====
3.39
2.94
2.44
1.89
1.30
2.35
4
====
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
1.97
1.54
1.07
1.74
1.37
0.96
3.77
3.45
3.02
2.46
1.78
1.82
1.63
1.35
0.998
1.13
0.952
0.712
r, In.
1.05
1.08
1.11
1.14
1.17
0.879
0.908
0.937
0.965
0.805
0.835
0.863
B, Bending Factor
1.35
1.28
1.21
1.15
1.10
1.61
1.51
1.43
1.34
1.73
1.62
1.52
a ÷ 10 6
0.563
0.515
0.451
0.367
0.266
0.272
0.243
0.202
0.149
0.169
0.142
0.106
I, In.
4
Note: Double Horizontal Line indicates K l/r limit of 200.
42
HSS / Square
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
Nominal Size
2x2
1 3/4 x 1 3/4
ERW
1 5/8 x 1 5/8
1 1/2 x 1 1/2
1 1/4 x 1 1/4
1/4
3/16
1/8
3/16
3/16
1/8
3/16
1/8
3/16
1/8
Weight Per Foot
5.41
4.32
3.05
3.68
3.36
2.42
3.04
2.20
2.40
1.78
Design Wall Thickness
0.233
0.174
0.116
0.174
0.174
0.116
Fy = 50 ksi
0.174
0.116
0.174
0.116
0
2
3
4
5
45
40
36
32
27
36
32
29
26
22
25
23
21
19
16
31
27
24
20
16
28
24
21
17
13
20
17
15
13
10
25
21
18
14
10
18
15
13
11
8
20
16
12
8
5
15
12
9
7
4
6
7
8
9
10
21
16
12
10
8
18
13
10
8
7
13
10
8
6
5
12
9
7
5
4
====
9
7
5
4
====
7
5
4
3
3
====
7
5
4
====
5
4
3
2
====
3
3
====
3
2
====
11
12
13
14
15
6
====
5
5
====
4
4
====
1.51
1.19
0.84
1.02
0.93
0.67
0.84
0.61
0.67
0.49
Effective length KL in feet
Wall Thickness
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
I, In.
4
0.745
0.640
0.486
0.405
0.312
0.246
0.235
0.188
0.121
0.101
r, In.
0.703
0.732
0.761
0.630
0.579
0.608
0.528
0.556
0.425
0.454
B, Bending Factor
2.03
1.86
1.73
2.20
2.42
2.21
2.68
2.43
3.46
3.03
a ÷ 10 6
0.111
0.096
0.073
0.060
0.047
0.037
0.035
0.028
0.018
0.015
Note: Double Horizontal Line indicates K l/r limit of 200.
43
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
20 x 12
Wall Thickness
1/2
Weight Per Foot
103.30
Effective length KL in feet
Design Wall Thickness
ERW
20 x 8
3/8
5/16
5/8
78.52
65.87
110.36
1/2
89.68
0.465*
0.349*
0.291*
0.581
0
2
3
4
5
815
808
804
800
795
554
549
547
544
541
435
432
430
428
426
909
893
884
875
864
705
696
691
685
678
6
7
8
9
10
790
785
780
774
768
538
535
532
528
524
423
421
418
416
413
852
840
827
814
800
11
12
13
14
15
762
755
749
742
734
521
517
513
508
504
410
407
404
401
398
16
17
18
19
20
727
719
711
703
694
499
494
490
484
479
21
22
23
24
25
685
676
665
654
642
26
27
28
29
30
x
20 x 4
3/8
5/16
1/2
3/8
5/16
68.31
57.36
76.07
58.10
48.86
0.465*
0.349*
Fy = 50 ksi
0.291*
0.465*
0.349*
0.291*
472
467
463
460
456
366
362
360
357
354
595
578
568
555
541
394
385
378
371
363
301
294
289
284
279
671
664
656
648
639
452
447
443
438
433
351
348
345
341
337
525
507
485
459
432
354
345
334
322
309
273
266
259
250
242
785
769
753
736
719
630
620
609
599
587
427
421
415
409
402
333
329
325
320
316
403
373
341
307
272
295
279
262
242
220
232
222
210
197
183
394
391
387
384
380
701
683
664
644
624
573
558
543
527
511
395
388
381
373
364
311
305
300
294
289
239
212
189
169
153
194
172
153
138
124
166
147
131
117
106
174
468
463
457
451
376
372
367
363
359
603
582
560
537
514
495
478
461
443
425
356
347
337
327
317
282
276
270
263
255
139
126
116
106
98
113
103
94
86
79
97
88
80
74
68
631
619
606
594
581
445
438
432
425
418
354
349
345
340
335
491
466
441
416
389
406
387
367
347
326
306
294
282
269
254
248
240
231
222
213
90
84
78
====
73
68
63
====
63
58
54
51
====
31
32
33
34
35
568
555
542
528
514
411
403
396
388
380
329
324
319
313
307
365
342
322
303
286
305
286
269
254
239
239
224
211
199
187
202
191
180
170
160
36
37
38
39
40
500
486
471
456
441
371
363
354
344
335
301
295
288
282
275
270
256
243
230
219
226
214
203
193
183
177
168
159
151
143
151
143
136
129
123
PROPERTIES
2
Area, In.
28.3
21.5
18.1
30.3
24.6
18.7
15.7
Ix, In. 4
1550
1200
1010
1440
1190
926
786
Iy, In. 4
705
547
464
338
283
222
189
20.9
838
58.7
16.0
657
47.6
13.4
560
41.2
Ratio rx / ry
1.48
1.48
1.48
2.06
2.05
2.04
2.04
3.78
3.72
ry, In.
4.99
5.04
5.07
3.34
3.39
3.44
3.47
1.68
1.73
1.75
Bx, Bending Factor
0.183
0.179
0.179
0.210
0.207
0.202
0.200
0.249
0.244
0.239
By, Bending Factor
0.241
ax, ÷ 10 6
231
ay, ÷ 10 6
105
0.236
179
81.7
0.234
151
69.3
0.359
0.348
215
178
50.5
42.3
0.337
138
33.2
0.332
117
28.2
0.712
125
8.77
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
44
0.672
98.1
7.11
3.69
0.650
83.6
6.15
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
18 x 6
Nominal Size
Wall Thickness
5/8
1/2
Weight Per Foot
93.34
76.07
Effective length KL in feet
Design Wall Thickness
3/8
58.10
ERW
16 x 12
5/16
48.86
0.349*
0.291*
627
612
604
594
583
421
414
410
405
400
701
685
669
651
632
571
559
546
532
517
11
12
13
14
15
613
592
571
549
526
16
17
18
19
20
x
1/4
1/2
3/8
39.43
89.68
68.31
0.233*
0.465
0.349*
Fy = 50 ksi
324
319
316
313
309
236
232
230
228
226
738
730
725
720
715
394
388
382
375
367
305
301
296
291
286
223
220
217
214
210
502
486
469
451
433
359
351
342
333
322
280
274
268
262
255
502
477
451
425
397
414
395
374
353
332
312
300
288
275
260
21
22
23
24
25
368
339
310
285
262
309
286
262
241
222
26
27
28
29
30
242
225
209
195
182
31
32
33
34
35
36
37
38
39
40
16 x 8
5/16
57.36
5/8
1/2
3/8
5/16
93.34
76.07
58.10
48.86
0.291*
0.581
0.465
0.349*
528
523
521
518
515
415
412
410
408
405
771
758
750
741
732
627
616
610
603
596
448
442
439
435
431
348
344
341
338
335
709
703
697
690
683
512
508
505
501
497
403
400
398
395
392
722
711
700
688
676
588
579
570
561
551
426
422
417
411
406
332
329
325
321
317
207
203
199
194
190
676
669
661
654
646
493
488
484
479
475
389
386
382
379
375
663
649
635
620
605
541
530
519
507
495
400
394
387
380
373
313
308
304
299
294
247
239
231
222
212
185
180
174
169
162
637
629
620
611
601
470
464
459
454
448
372
368
364
360
356
589
573
557
539
522
482
470
456
443
429
365
358
349
341
331
288
283
277
271
264
244
227
209
192
177
202
191
178
164
151
156
149
141
133
124
592
582
572
562
552
442
436
430
424
417
352
347
343
338
333
504
485
466
446
426
414
399
384
368
352
321
309
298
286
274
258
251
243
236
227
205
190
177
165
154
163
152
141
131
123
140
130
121
113
105
115
106
99
92
86
541
530
519
508
496
410
403
396
388
380
328
323
318
312
307
405
383
361
339
317
336
319
302
284
265
262
249
236
223
209
219
210
200
190
178
171
160
151
142
134
144
135
127
120
113
115
108
101
96
90
99
92
87
82
77
81
76
71
67
63
484
473
460
448
435
371
362
353
344
334
301
295
289
283
276
297
278
262
247
233
249
233
219
207
195
196
184
173
163
154
167
157
148
139
131
126
120
114
108
102
107
101
96
91
87
85
81
76
73
69
73
69
66
62
59
60
57
54
51
48
423
409
396
383
369
325
315
305
295
285
269
262
255
248
240
220
208
197
187
178
184
175
165
157
149
145
138
130
124
118
124
117
111
106
100
25.7
20.9
16.0
13.4
0.581
0.465
0
2
3
4
5
771
753
741
729
716
6
7
8
9
10
0.291*
PROPERTIES
Area, In.2
Ix, In. 4
923
770
602
Iy, In. 4
158
134
106
513
91.3
10.8
24.6
419
75.1
18.7
15.7
25.7
20.9
16.0
13.4
904
702
595
815
679
531
451
581
452
384
274
230
181
155
Ratio rx / ry
2.42
2.40
2.38
2.37
2.36
1.25
1.25
1.24
1.72
1.72
1.71
ry, In.
2.48
2.53
2.58
2.61
2.63
4.86
4.91
4.94
3.27
3.32
3.37
3.40
Bx, Bending Factor
0.251
0.244
0.239
0.235
0.232
0.218
0.213
0.211
0.252
0.246
0.241
0.238
By, Bending Factor
ax, ÷ 10 6
ay, ÷ 10 6
0.488
138
23.6
0.468
115
20.0
0.453
0.440
0.431
89.9
76.6
62.6
15.8
13.6
11.2
0.254
135
86.8
0.248
105
67.5
0.245
88.9
57.3
0.375
122
40.9
0.363
101
34.3
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
45
0.354
1.71
0.346
79.3
67.3
27.0
23.1
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
ERW
16 x 4
Wall Thickness
1/2
3/8
Weight Per Foot
62.46
47.90
Design Wall Thickness
0.465
0.349*
x
14 x 10
5/16
40.35
5/8
1/2
3/8
5/16
1/4
93.34
76.07
58.10
48.86
39.43
0.291*
0.581
0.465
0.349*
0.291*
0.233*
Effective length KL in feet
Fy = 50 ksi
0
2
3
4
5
516
496
483
469
453
365
355
349
341
333
281
274
269
264
258
771
760
754
747
740
627
618
613
608
602
474
469
466
462
459
371
367
365
363
360
274
272
270
269
267
6
7
8
9
10
435
416
396
374
351
324
313
302
290
276
252
244
237
228
219
732
724
716
707
697
596
590
583
576
568
455
451
446
441
436
357
354
351
348
344
265
263
261
259
257
11
12
13
14
15
327
301
274
246
216
258
240
220
199
178
208
197
184
170
153
688
677
667
656
644
560
552
544
535
526
430
424
417
411
404
341
337
333
329
324
254
252
249
246
243
16
17
18
19
20
190
168
150
135
121
156
139
124
111
100
135
119
106
95
86
633
621
608
596
583
517
507
497
487
477
397
390
383
375
367
320
315
310
305
300
240
237
233
230
226
21
22
23
24
25
110
100
92
84
78
91
83
76
69
64
78
71
65
60
55
569
555
541
527
512
466
455
444
433
421
359
351
342
334
325
295
289
283
277
271
223
219
215
211
206
26
27
28
29
30
72
67
====
59
55
51
====
51
47
44
====
497
481
466
449
433
409
397
384
371
358
316
307
297
288
278
264
258
251
243
234
202
198
193
188
183
31
32
33
34
35
416
399
381
363
344
345
331
317
303
288
268
257
247
236
225
226
218
209
200
191
178
172
166
160
154
36
37
38
39
40
326
308
292
278
264
273
258
245
233
221
214
203
192
182
173
182
172
163
155
147
147
140
133
126
120
PROPERTIES
2
Area, In.
Ix, In. 4
Iy, In. 4
17.2
455
47.0
13.2
360
38.3
11.1
308
33.2
25.7
20.9
16.0
13.4
10.8
687
573
447
380
310
407
341
267
227
186
Ratio rx / ry
3.11
3.07
3.05
1.30
1.30
1.29
1.29
ry, In.
1.65
1.71
1.73
3.98
4.04
4.09
4.12
4.14
Bx, Bending Factor
0.302
0.293
0.288
0.262
0.255
0.251
0.247
0.244
By, Bending Factor
ax, ÷ 10 6
ay, ÷ 10 6
0.732
67.9
7.02
0.689
53.8
5.72
0.669
46.0
0.316
103
4.96
60.8
0.306
0.300
0.290
85.6
66.8
56.7
46.3
50.9
39.9
33.9
27.8
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
46
0.295
1.29
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
Wall Thickness
Weight Per Foot
Design Wall Thickness
Effective length KL in feet
ERW
14 x 6
Nominal Size
5/8
1/2
3/8
76.33
62.46
47.90
x
14 x 4
5/16
40.35
0.291*
1/4
3/16
32.63
24.73
0.233*
5/8
1/2
3/8
67.82
55.66
42.79
0.174*
0.581
Fy = 50 ksi
0.291*
1/4
29.23
0.233*
3/16
22.18
0.581
0.465
0.349*
0
2
3
4
5
630
615
605
595
583
516
504
496
488
479
390
383
378
373
368
303
298
295
291
287
222
219
217
214
212
148
146
145
143
142
561
538
524
507
489
459
441
430
417
402
348
338
331
323
312
269
262
257
251
245
196
191
188
184
180
128
126
124
122
119
6
7
8
9
10
571
558
544
529
513
469
459
447
436
423
361
353
345
336
327
283
278
273
268
262
209
206
202
199
195
140
138
136
134
132
469
447
424
399
372
387
370
351
332
311
300
288
274
260
245
239
231
223
214
205
176
171
166
160
154
117
114
111
108
104
11
12
13
14
15
497
480
462
443
424
410
396
382
367
352
317
307
296
285
274
256
250
243
236
228
191
187
182
177
172
129
127
124
121
118
344
314
283
250
218
289
266
242
216
190
229
212
194
175
155
194
181
167
151
135
147
139
131
122
111
101
96
92
87
81
16
17
18
19
20
403
382
361
338
315
336
319
302
284
266
262
249
236
223
210
220
211
200
189
178
167
161
155
149
142
115
112
108
105
101
192
170
151
136
123
167
148
132
118
107
137
121
108
97
87
119
105
94
84
76
98
87
78
70
63
75
68
61
55
49
21
22
23
24
25
291
266
243
223
206
246
227
207
190
176
195
181
166
152
140
166
154
141
130
120
134
126
117
107
99
97
92
87
82
76
111
101
93
85
78
97
88
81
74
68
79
72
66
61
56
69
63
58
53
49
57
52
48
44
40
45
41
37
34
32
26
27
28
29
30
190
176
164
153
143
162
150
140
130
122
130
120
112
104
97
111
103
95
89
83
91
85
79
74
69
71
66
61
57
53
73
====
63
59
====
52
48
45
====
45
42
39
====
37
35
32
30
====
29
27
25
23
====
31
32
33
34
35
134
126
118
111
105
114
107
101
95
90
91
86
80
76
72
78
73
69
65
61
64
60
57
54
50
50
47
44
41
39
36
37
38
39
40
99
94
89
85
80
85
80
76
72
69
68
64
61
58
55
58
55
52
49
47
48
45
43
41
39
37
35
33
31
30
21.0
17.2
13.2
11.1
0.465
0.349*
5/16
36.10
0.174*
PROPERTIES
Area, In.2
Ix, In. 4
478
402
Iy, In. 4
124
105
317
84.1
271
72.3
8.96
6.76
222
170
59.6
45.9
18.7
373
47.1
15.3
317
41.1
11.8
252
33.6
9.92
216
29.2
8.03
178
24.4
6.06
137
19.0
Ratio rx / ry
1.96
1.96
1.94
1.94
1.93
1.92
2.81
2.78
2.74
2.72
2.70
ry, In.
2.43
2.48
2.53
2.55
2.58
2.61
1.59
1.64
1.69
1.72
1.74
1.77
Bx, Bending Factor
0.308
0.300
0.291
0.287
0.283
0.278
0.351
0.338
0.328
0.321
0.316
0.310
By, Bending Factor
0.508
0.491
0.471
0.461
ax, ÷ 10 6
71.4
60.0
47.3
40.5
ay, ÷ 10 6
18.5
15.7
12.6
10.8
0.451
33.2
0.442
25.4
8.90
6.85
0.794
55.7
7.03
0.745
47.3
6.14
0.702
37.6
5.02
0.679
32.3
4.36
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
47
0.658
26.6
3.64
2.69
0.638
20.5
2.84
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
1/2
3/8
Weight Per Foot
69.27
53.00
12 x 8
5/16
44.60
1/4
5/8
1/2
3/8
36.03
76.33
62.46
47.90
5/16
40.35
1/4
32.63
3/16
24.73
0.465
0.349
0.291*
0.233*
0.581
0.465
Fy = 50 ksi
0.349
0.291*
0.233*
0.174*
0
2
3
4
5
570
562
557
552
547
438
432
428
425
421
358
354
352
349
346
265
263
261
260
258
630
619
612
604
597
516
507
501
495
489
396
389
385
381
376
325
321
318
315
312
242
238
236
234
232
161
159
158
157
156
6
7
8
9
10
541
535
529
522
515
416
412
407
402
397
343
340
337
334
330
256
254
252
250
248
588
579
569
559
548
482
475
467
459
451
371
365
359
353
347
308
305
301
296
292
230
227
224
222
219
154
153
151
150
148
11
12
13
14
15
508
500
492
484
476
391
385
379
373
367
326
322
318
312
307
246
243
241
238
235
537
526
513
501
488
442
432
423
412
402
340
333
326
319
311
287
281
275
268
262
215
212
208
205
201
146
145
143
141
138
16
17
18
19
20
467
458
449
439
430
360
354
347
339
332
302
296
290
284
278
231
228
224
221
217
474
460
446
431
416
391
380
369
357
345
303
294
286
277
268
255
248
241
234
226
197
192
188
183
179
136
133
131
128
125
21
22
23
24
25
420
409
399
388
377
325
317
309
301
292
272
266
259
253
246
213
209
205
200
196
400
384
368
351
333
332
319
306
292
278
259
249
239
229
219
218
210
202
194
185
174
168
163
157
151
122
119
115
112
108
26
27
28
29
30
366
354
342
330
318
284
275
266
257
248
239
231
224
217
209
191
186
181
176
170
315
296
277
259
242
264
249
234
219
204
208
197
186
174
163
176
167
158
148
138
144
137
129
122
114
104
100
96
92
87
31
32
33
34
35
305
293
279
266
252
239
229
219
209
198
201
193
185
177
168
164
158
152
145
138
226
212
200
188
178
191
179
169
159
150
152
143
134
127
119
130
122
114
108
102
107
100
94
89
84
82
77
72
68
64
36
37
38
39
40
238
226
214
203
193
188
178
169
160
152
159
151
143
136
129
131
124
118
112
106
168
159
151
143
136
142
134
127
121
115
113
107
101
96
91
96
91
86
82
78
79
75
71
67
64
61
57
54
52
49
Design Wall Thickness
Effective length KL in feet
ERW
12 x 10
Wall Thickness
x
PROPERTIES
2
Area, In.
19.0
14.6
12.2
9.90
21.0
17.2
13.2
11.1
Ix, In. 4
395
310
264
216
396
333
262
224
Iy, In. 4
298
234
200
164
210
177
140
120
8.96
184
98.8
6.76
140
75.7
Ratio rx / ry
1.15
1.15
1.15
1.15
1.37
1.37
1.37
1.37
1.36
ry, In.
3.96
4.01
4.04
4.07
3.16
3.21
3.27
3.29
3.32
3.35
Bx, Bending Factor
0.289
0.283
0.277
0.275
0.318
0.310
0.302
0.297
0.292
0.290
By, Bending Factor
0.319
0.312
0.305
0.302
0.400
0.389
0.377
0.370
0.363
1.36
0.357
ax, ÷ 10 6
59.0
46.3
39.4
32.3
59.1
49.7
39.1
33.5
27.5
20.9
ay, ÷ 10 6
44.5
34.9
29.9
24.5
31.4
26.4
20.9
17.9
14.8
11.3
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
48
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
Wall Thickness
5/8
1/2
3/8
Weight Per Foot
67.82
55.66
42.79
Design Wall Thickness
Effective length KL in feet
ERW
12 x 6
Nominal Size
0.581
x
12 x 4
5/16
36.10
0.465
0.349
0.291*
1/4
3/16
29.23
22.18
0.233*
5/8
1/2
3/8
59.32
48.85
37.69
0.174*
0.581
Fy = 50 ksi
0.465
0.349
5/16
31.84
1/4
25.82
0.291*
0.233*
3/16
19.63
0.174*
0
2
3
4
5
561
547
538
529
519
459
448
441
434
425
354
346
340
335
329
290
285
281
278
274
214
210
208
206
203
143
141
140
138
136
492
472
459
444
428
405
389
379
367
354
312
300
293
284
274
255
248
243
238
231
187
182
179
175
171
124
121
119
117
114
6
7
8
9
10
507
495
483
469
455
416
407
397
386
375
322
315
307
299
291
269
264
259
252
245
200
197
193
189
185
135
133
131
128
126
410
390
369
347
323
340
325
308
291
272
264
253
241
228
214
223
214
204
194
182
166
161
156
150
143
112
109
105
102
98
11
12
13
14
15
440
424
408
391
373
363
350
337
324
310
282
272
263
253
242
238
230
222
214
205
181
177
172
167
161
123
121
118
115
112
298
272
244
214
186
253
232
210
187
163
200
184
168
151
134
171
158
145
131
117
136
128
119
108
97
94
90
85
80
73
16
17
18
19
20
354
335
315
295
273
295
280
264
248
231
231
220
208
196
183
196
187
177
167
157
156
149
143
136
128
108
105
101
97
93
164
145
129
116
105
144
127
113
102
92
117
104
93
83
75
103
91
81
73
66
85
75
67
60
54
67
59
53
47
43
21
22
23
24
25
251
229
209
192
177
213
195
179
164
151
170
157
143
132
121
146
135
123
113
105
120
111
102
93
86
88
83
78
72
66
95
87
79
73
67
83
76
69
64
59
68
62
57
52
48
60
54
50
46
42
49
45
41
38
35
39
35
32
30
27
26
27
28
29
30
164
152
141
132
123
140
130
120
112
105
112
104
97
90
84
97
90
83
78
73
79
74
69
64
60
61
57
53
49
46
62
====
54
50
====
44
41
====
39
36
33
====
32
30
28
====
25
23
22
20
====
31
32
33
34
35
115
108
102
96
90
98
92
87
82
77
79
74
70
66
62
68
64
60
57
53
56
52
49
46
44
43
41
38
36
34
36
37
38
39
40
85
81
77
73
====
73
69
65
62
59
59
55
53
50
47
50
48
45
43
41
41
39
37
35
34
32
30
29
27
26
11.8
9.92
PROPERTIES
Area, In.2
18.7
Ix, In. 4
321
Iy, In. 4
106
15.3
271
91.1
215
72.9
184
62.8
8.03
6.06
151
116
51.9
40.0
16.4
245
40.3
13.5
209
35.3
10.4
168
28.9
8.76
144
25.2
7.10
119
21.0
5.37
91.8
16.4
Ratio rx / ry
1.74
1.72
1.72
1.71
1.71
1.70
2.47
2.43
2.41
2.39
2.38
2.37
ry, In.
2.39
2.44
2.49
2.52
2.54
2.57
1.57
1.62
1.67
1.70
1.72
1.75
Bx, Bending Factor
0.350
0.339
0.329
0.323
0.319
0.313
0.402
0.388
0.371
0.365
0.358
0.351
By, Bending Factor
0.529
0.504
0.486
ax, ÷ 10 6
47.9
40.5
32.1
ay, ÷ 10 6
15.8
13.6
10.9
0.474
27.5
9.38
0.464
22.5
0.455
17.3
7.75
5.97
0.814
36.6
6.02
0.765
31.2
5.27
0.720
25.1
0.695
21.5
4.32
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
49
3.76
0.676
17.8
3.14
0.655
13.7
2.45
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
12 x 3 1/2
Wall Thickness
3/8
Weight Per Foot
36.41
Effective length KL in feet
Design Wall Thickness
5/16
30.78
0.349
0.291*
0
2
3
4
5
300
287
278
268
257
6
7
8
9
10
12 x 3
5/16
29.72
ERW
12 x 2
1/4
3/16
1/4
24.12
18.35
22.42
0.174*
x
10 x 8
3/16
17.08
0.291*
0.233*
0.233*
0.174*
Fy = 50 ksi
247
238
233
226
218
238
228
221
214
202
173
167
163
157
152
114
110
107
105
101
160
150
143
134
123
104
98
94
89
84
245
231
217
202
186
208
197
185
172
159
190
177
162
147
130
145
137
129
119
108
98
93
89
84
78
109
92
71
56
46
11
12
13
14
15
168
150
131
113
98
145
130
114
98
85
113
95
81
70
61
94
79
68
58
51
71
63
54
46
40
38
32
27
23
====
16
17
18
19
20
86
76
68
61
55
75
66
59
53
48
53
47
42
38
34
45
40
35
32
29
21
22
23
24
25
50
46
42
38
====
44
40
36
33
====
31
====
26
====
1/2
3/8
5/16
1/4
55.66
42.79
36.10
29.23
3/16
22.18
0.349
0.291
0.233*
459
451
446
440
434
354
348
344
340
335
298
292
289
286
282
232
229
227
225
223
154
152
151
150
149
77
68
57
45
37
428
421
414
407
399
331
326
320
315
309
278
274
270
265
260
220
217
214
211
208
147
146
144
143
141
30
26
22
19
====
391
382
373
364
354
303
296
289
282
275
255
250
244
238
232
205
201
197
193
189
139
137
135
133
131
35
31
28
25
23
345
334
324
313
302
268
260
252
244
235
226
220
213
206
199
184
179
173
168
162
128
126
123
120
117
21
19
====
290
278
266
253
241
227
218
209
199
189
192
185
177
169
161
157
151
145
138
132
114
110
107
103
99
26
27
28
29
30
227
214
200
186
174
179
169
159
148
138
153
144
136
127
119
125
119
112
105
98
95
90
85
80
75
31
32
33
34
35
163
153
144
135
128
130
122
114
108
102
111
104
98
92
87
92
86
81
76
72
70
66
62
58
55
36
37
38
39
40
121
114
108
103
98
96
91
86
82
78
82
78
74
70
67
68
64
61
58
55
52
49
47
44
42
0.465
0.174*
PROPERTIES
Area, In.2
10.0
156
Ix, In. 4
21.3
8.46
134
124
103
6.17
79.6
86.9
4.67
67.4
15.3
11.8
9.92
214
169
145
151
120
103
8.03
119
8.72
4.40
3.55
3.08
3.05
3.02
4.44
4.36
1.19
1.19
1.19
1.19
1.18
ry, In.
1.46
1.48
1.27
1.29
1.32
0.845
0.872
3.14
3.19
3.22
3.25
3.28
Bx, Bending Factor
0.385
0.379
0.395
0.386
0.378
0.426
0.416
0.357
0.349
0.342
0.337
0.332
By, Bending Factor
0.822
0.796
0.935
0.896
0.864
1.40
1.32
0.405
0.393
0.385
0.379
0.372
ax, ÷ 10
23.3
3.18
20.0
2.78
18.5
1.96
15.4
1.66
11.9
13.0
1.30
0.657
10.1
0.530
32.0
25.2
21.7
17.8
22.5
17.9
15.4
12.6
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
50
84.7
6.06
91.4
2.68
ay, ÷ 10 6
11.1
5.02
2.71
6
13.1
6.63
Ratio rx / ry
Iy, In. 4
18.6
8.17
65.1
13.6
9.72
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
5/8
1/2
3/8
Weight Per Foot
59.32
48.85
37.69
Design Wall Thickness
Effective length KL in feet
ERW
10 x 6
Wall Thickness
x
10 x 5
5/16
1/4
31.84
25.82
3/16
19.63
0.233*
0.174*
Fy = 50 ksi
3/8
5/16
1/4
3/16
35.13
29.72
24.12
18.35
0.349
0.291
0.233*
0.174*
138
136
134
133
131
290
281
276
270
263
245
238
233
228
223
191
186
184
181
177
128
126
124
122
120
190
186
182
178
174
129
127
125
122
120
256
248
240
231
222
217
210
203
196
188
173
169
165
160
154
117
115
112
110
106
209
202
194
187
179
170
164
158
152
146
117
114
111
108
104
212
202
191
180
168
180
172
163
153
144
147
141
133
126
118
103
100
96
92
87
200
190
179
168
157
170
162
153
144
135
139
132
125
118
110
101
97
93
88
84
156
143
130
117
105
133
123
112
101
91
110
102
93
84
76
83
78
72
65
59
181
165
151
139
128
145
133
121
111
103
125
115
105
96
89
102
94
86
79
73
78
73
67
61
57
96
87
80
73
67
82
75
69
63
58
69
63
57
53
49
54
49
45
41
38
138
128
119
111
103
118
110
102
95
89
95
88
82
76
71
82
76
71
66
62
68
63
58
54
51
52
49
45
42
39
62
58
54
50
47
54
50
46
43
40
45
42
39
36
34
35
32
30
28
26
31
32
33
34
35
97
91
86
81
76
83
78
73
69
65
67
63
59
56
52
58
54
51
48
45
48
45
42
39
37
37
35
32
31
29
44
41
39
36
====
38
35
33
31
====
32
30
28
26
25
====
25
23
22
20
19
====
36
37
38
39
40
72
68
64
61
====
62
58
55
53
====
50
47
44
42
40
43
40
38
36
35
35
33
32
30
29
27
26
24
23
22
0.581
0.465
0.349
0.291
0
2
3
4
5
492
479
472
463
454
405
395
389
382
374
312
304
300
295
289
263
256
253
248
244
205
201
198
196
193
6
7
8
9
10
444
433
421
409
396
366
358
348
339
328
283
277
270
262
255
239
233
228
222
215
11
12
13
14
15
382
368
353
338
322
317
306
294
282
269
246
238
229
220
210
16
17
18
19
20
305
288
270
251
231
256
242
228
213
197
21
22
23
24
25
211
192
176
162
149
26
27
28
29
30
PROPERTIES
2
Area, In.
Ix, In. 4
Iy, In. 4
16.4
201
89.4
13.5
171
76.8
10.4
137
61.8
8.76
7.10
118
53.3
5.37
96.9
74.6
44.1
34.1
9.67
120
40.6
8.17
104
35.2
6.63
5.02
85.8
66.2
29.3
22.7
Ratio rx / ry
1.50
1.49
1.49
1.49
1.48
1.48
1.72
1.72
1.71
ry, In.
2.34
2.39
2.44
2.47
2.49
2.52
2.05
2.07
2.10
2.13
Bx, Bending Factor
0.408
0.395
0.38
0.371
0.366
0.360
0.403
0.393
0.386
0.379
0.566
0.553
By, Bending Factor
0.550
0.527
ax, ÷ 10 6
30.0
25.5
ay, ÷ 10 6
13.4
11.5
0.505
20.5
9.23
0.493
0.483
17.6
14.5
7.96
6.59
0.472
11.1
5.09
0.595
17.9
6.06
0.580
15.5
5.26
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
51
12.8
4.38
1.71
9.89
3.39
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
10 x 4
Nominal Size
5/8
1/2
3/8
5/16
1/4
Weight Per Foot
50.81
42.05
32.58
27.59
22.42
Effective length KL in feet
Design Wall Thickness
0.581
ERW
10 x 3 1/2
Wall Thickness
3/16
17.08
0.465
0.349
0.291
0.233*
x
10 x 3
3/16
3/8
5/16
1/4
3/16
1/8
16.44
30.03
25.46
20.72
15.80
10.71
0.174*
0.174*
Fy = 50 ksi
0.349
0.291
0.233*
0.174*
0.116*
0
2
3
4
5
420
402
391
378
364
348
334
325
315
303
296
259
252
244
236
228
219
214
207
200
177
172
169
165
160
118
115
113
110
108
113
109
107
105
102
248
234
225
214
202
210
199
191
183
173
163
156
152
147
141
108
104
101
98
95
60
59
57
56
54
6
7
8
9
10
348
331
312
293
272
291
277
263
247
231
227
217
206
195
182
193
184
176
166
156
156
150
144
136
129
105
102
99
95
91
98
95
91
86
81
189
175
159
143
125
162
150
138
124
109
133
124
114
103
92
91
86
81
76
69
52
50
48
46
43
11
12
13
14
15
250
226
202
176
153
213
195
176
155
135
170
156
142
127
111
146
135
123
111
98
120
111
102
92
82
87
82
76
70
63
76
70
63
54
47
105
89
76
65
57
94
79
67
58
50
80
67
57
49
43
62
53
45
39
34
40
36
32
27
24
16
17
18
19
20
134
119
106
95
86
119
105
94
84
76
98
87
77
69
63
86
76
68
61
55
72
64
57
51
46
56
50
44
40
36
42
37
33
29
27
50
44
39
35
32
====
44
39
35
31
28
====
38
34
30
27
24
30
26
23
21
19
21
19
17
15
13
21
22
23
24
25
78
71
65
60
55
====
69
63
57
53
49
57
52
47
43
40
50
45
41
38
35
42
38
35
32
30
32
30
27
25
23
24
22
20
18
17
====
22
====
17
====
12
11
====
45
====
37
34
====
32
30
====
27
25
24
====
21
20
18
====
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
Ix, In. 4
Iy, In. 4
14.0
149
129
104
6.17
4.67
4.50
8.27
7.01
90.1
74.7
57.8
53.6
88.0
76.3
21.2
17.7
13.9
10.3
12.4
11.0
5.70
63.6
4.32
49.4
2.93
34.2
9.28
7.33
5.16
2.09
2.07
2.06
2.05
2.04
2.28
2.66
2.63
2.62
2.60
2.57
ry, In.
1.54
1.59
1.64
1.67
1.70
1.72
1.51
1.22
1.25
1.28
1.30
1.33
Bx, Bending Factor
0.470
0.450
0.431
0.421
0.413
0.404
0.420
0.470
0.459
0.448
0.437
0.428
0.697
0.672
0.765
0.956
0.921
0.884
0.852
8.63
8.00
9.50
7.38
5.11
2.08
1.54
1.39
1.09
0.771
ay, ÷ 10 6
0.838
22.3
4.99
0.789
19.3
4.39
24.3
7.59
2.11
ax, ÷ 10 6
29.4
8.97
Ratio rx / ry
By, Bending Factor
33.4
11.6
0.738
15.5
3.63
0.716
13.5
3.17
11.2
2.64
1.00
13.1
1.85
11.4
1.64
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
52
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
x
ERW
10 x 2
9x7
Wall Thickness
3/8
5/16
1/4
3/16
5/8
1/2
3/8
5/16
1/4
3/16
Weight Per Foot
27.48
23.34
19.02
14.53
59.32
48.85
37.69
31.84
25.82
19.63
Effective length KL in feet
Design Wall Thickness
0.349
0.291
0.233*
0.174*
0.581
0.465
Fy = 50 ksi
0.349
0.291
0.233
0.174*
0
2
3
4
5
227
205
189
171
150
193
175
162
147
130
149
139
132
121
108
98
92
88
83
77
492
481
475
468
460
405
396
391
385
379
312
305
302
297
293
263
257
254
251
247
213
209
206
203
200
145
143
142
140
139
6
7
8
9
10
126
99
76
60
49
111
89
69
54
44
93
77
59
47
38
69
60
48
38
31
452
443
433
423
412
372
365
358
350
341
288
282
276
270
264
242
238
233
228
223
197
193
189
185
181
137
135
133
131
128
11
12
13
14
15
40
34
29
====
36
31
26
====
31
26
23
====
25
21
18
16
====
401
390
378
365
352
332
323
313
303
293
257
250
243
235
228
217
212
206
199
193
177
172
167
162
157
126
123
120
118
115
16
17
18
19
20
338
324
310
295
279
282
271
259
247
235
220
211
202
194
184
186
179
172
165
157
152
146
141
135
128
111
108
105
101
97
21
22
23
24
25
263
247
230
212
195
222
209
195
181
167
175
165
155
144
133
149
141
132
124
115
122
116
109
102
95
93
89
84
79
73
26
27
28
29
30
181
168
156
145
136
154
143
133
124
116
123
114
106
99
93
106
98
91
85
80
88
81
76
71
66
68
63
59
55
51
31
32
33
34
35
127
119
112
106
100
109
102
96
90
85
87
81
77
72
68
75
70
66
62
59
62
58
55
51
48
48
45
42
40
37
36
37
38
39
40
94
89
85
80
76
81
76
72
69
65
64
61
58
55
52
55
52
50
47
45
46
43
41
39
37
35
34
32
30
29
PROPERTIES
Area, In.2
Ix, In. 4
7.58
71.7
6.43
62.6
5.24
52.5
3.98
16.4
41.0
13.5
174
149
117
100
10.4
119
8.76
102
7.10
5.37
84.1
64.7
57.2
44.1
Iy, In. 4
4.69
4.24
3.67
2.97
Ratio rx / ry
3.91
3.84
3.78
3.72
1.22
1.22
1.22
1.21
1.21
1.21
ry, In.
0.786
0.812
0.837
0.864
2.68
2.73
2.78
2.81
2.84
2.87
Bx, Bending Factor
0.529
0.514
0.499
0.485
0.424
0.408
0.393
0.386
0.380
0.373
1.62
1.52
1.43
1.34
0.434
0.426
9.35
7.84
6.12
26.0
22.3
17.8
15.2
0.633
0.548
0.444
17.5
14.9
12.0
10.3
By, Bending Factor
ax, ÷ 10 6
ay, ÷ 10 6
10.7
0.700
0.491
0.473
80.4
0.453
69.2
0.443
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
53
12.6
8.54
9.66
6.59
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
Wall Thickness
5/8
1/2
3/8
Weight Per Foot
50.81
42.05
32.58
Design Wall Thickness
Effective length KL in feet
ERW
9x5
Nominal Size
x
9x3
5/16
27.59
1/4
22.42
0.581
0.465
0.349
0.291
0.233
0
2
3
4
5
420
406
398
388
378
348
337
330
323
314
269
261
256
250
244
228
221
217
212
207
185
180
176
173
168
6
7
8
9
10
366
354
341
327
312
305
295
285
274
262
237
230
222
214
205
201
195
189
182
174
11
12
13
14
15
296
280
263
245
226
249
236
222
208
193
196
186
176
166
154
16
17
18
19
20
206
185
165
148
134
177
161
144
129
117
21
22
23
24
25
121
111
101
93
86
26
27
28
29
30
31
32
33
34
35
3/16
17.08
0.174*
Fy = 50 ksi
1/2
35.24
3/8
27.48
5/16
1/4
23.34
19.02
0.233
3/16
14.53
0.174*
0.465
0.349
0.291
125
122
120
118
116
292
275
263
250
235
227
215
206
196
185
193
182
175
167
158
157
149
143
137
130
105
101
98
95
91
164
159
154
148
143
114
111
109
106
102
218
200
180
158
135
173
160
145
130
113
148
137
126
113
99
122
113
104
94
84
87
83
77
72
65
167
159
150
141
132
136
130
123
116
109
99
95
91
87
82
112
94
80
69
60
95
80
68
59
51
85
71
61
52
46
72
61
52
45
39
56
48
41
35
31
143
131
118
106
96
123
112
102
92
83
101
93
85
77
69
77
72
66
59
53
53
47
42
38
====
45
40
36
32
29
====
40
35
32
28
26
====
34
30
27
24
22
27
24
21
19
17
106
96
88
81
75
87
79
72
67
61
75
68
63
57
53
63
57
52
48
44
48
44
40
37
34
20
====
16
====
79
73
68
64
59
69
64
60
56
52
57
53
49
46
43
49
45
42
39
37
41
38
35
33
31
32
29
27
25
24
56
52
====
49
46
====
40
37
35
====
34
32
30
29
====
29
27
25
24
====
22
21
20
18
17
====
36
37
38
39
40
PROPERTIES
Area, In.2
Ix, In. 4
Iy, In. 4
14.0
133
115
7.59
6.17
4.67
9.74
7.58
92.5
79.8
66.1
51.1
80.8
66.3
36.8
32.0
26.6
20.7
13.2
11.2
6.43
57.7
5.24
48.2
3.98
37.6
9.88
8.38
6.63
1.60
1.60
1.59
1.58
1.58
1.57
2.47
2.43
2.42
2.40
2.38
ry, In.
1.92
1.97
2.03
2.05
2.08
2.10
1.16
1.21
1.24
1.27
1.29
Bx, Bending Factor
0.474
0.454
0.436
0.428
0.420
0.411
0.542
0.514
0.501
0.489
0.476
0.593
0.580
0.564
1.11
1.02
0.976
0.938
0.900
9.87
7.63
9.90
8.62
7.20
5.61
3.97
3.09
1.67
1.48
1.25
0.990
ax, ÷ 10 6
ay, ÷ 10 6
0.674
19.9
7.75
45.2
8.97
Ratio rx / ry
By, Bending Factor
51.9
11.6
0.642
17.2
6.75
0.609
13.8
5.50
11.9
4.78
12.1
1.97
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
54
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
Wall Thickness
5/8
1/2
3/8
Weight Per Foot
50.81
42.05
32.58
Design Wall Thickness
Effective length KL in feet
ERW
8x6
Nominal Size
x
8x4
5/16
27.59
1/4
22.42
3/16
17.08
5/8
42.30
0.581
0.465
0.349
0.291
0.233
0.174*
0
2
3
4
5
420
409
402
394
386
348
339
334
327
321
269
262
258
254
249
228
222
219
215
211
185
181
178
175
171
132
139
128
126
124
351
336
326
315
303
6
7
8
9
10
377
367
357
346
335
313
306
297
289
279
243
237
231
225
218
206
201
196
191
185
168
164
160
155
151
122
120
117
115
112
11
12
13
14
15
322
310
296
283
268
270
259
249
238
226
211
203
195
187
178
179
172
166
159
152
146
141
136
130
124
16
17
18
19
20
253
238
221
204
187
214
202
189
175
161
169
160
150
141
130
144
137
129
120
112
21
22
23
24
25
170
155
141
130
120
147
134
122
112
104
119
109
100
91
84
26
27
28
29
30
111
103
95
89
83
96
89
83
77
72
31
32
33
34
35
78
73
69
65
61
36
37
38
39
40
58
55
====
1/2
35.24
3/8
5/16
1/4
27.48
23.34
19.02
3/16
14.53
1/8
9.86
0.349
0.291
0.233
0.174*
0.116*
292
280
272
264
254
227
218
213
206
199
193
185
181
175
169
157
151
147
143
138
111
108
106
104
101
64
62
61
60
59
289
274
259
242
224
243
231
219
205
191
191
182
173
163
152
162
155
147
139
130
133
127
121
114
107
98
95
91
87
83
57
56
54
52
50
109
106
102
99
95
205
184
163
141
123
176
160
143
125
109
141
129
117
104
91
121
111
101
90
79
100
92
84
76
67
77
71
65
59
52
47
45
42
39
36
119
112
106
99
92
91
86
81
76
71
108
96
85
77
69
96
85
76
68
61
80
71
63
56
51
69
61
55
49
44
58
52
46
41
37
46
41
36
33
29
32
28
25
23
20
103
94
86
79
73
85
78
71
66
60
66
61
55
51
47
63
57
52
48
44
====
56
51
46
43
39
46
42
39
35
33
40
37
33
31
28
34
31
28
26
24
27
24
22
20
19
19
17
15
14
13
78
72
67
63
59
67
62
58
54
50
56
52
48
45
42
43
40
37
35
33
36
====
30
====
26
24
====
22
21
====
17
16
15
====
12
11
10
====
67
63
59
56
53
55
51
48
46
43
47
44
42
39
37
39
37
35
33
31
30
29
27
25
24
50
47
45
====
41
38
36
35
====
35
33
31
30
28
29
28
26
25
24
23
21
20
19
18
7.59
6.17
0.581
0.465
Fy = 50 ksi
PROPERTIES
Area, In.2
Ix, In. 4
Iy, In. 4
14.0
114
72.2
11.6
8.97
4.67
11.7
9.74
7.58
6.43
5.24
3.98
98.2
79.1
68.3
56.6
43.7
81.9
71.7
58.7
51.0
42.5
33.1
62.5
50.6
43.8
36.4
28.2
26.6
23.6
19.6
17.2
14.4
11.3
2.70
22.9
7.90
Ratio rx / ry
1.26
1.25
1.25
1.25
1.25
1.24
1.75
1.74
1.73
1.72
1.72
1.71
ry, In.
2.27
2.32
2.38
2.40
2.43
2.46
1.51
1.56
1.61
1.63
1.66
1.69
1.71
Bx, Bending Factor
0.491
0.473
0.454
0.445
0.436
0.427
0.571
0.543
0.517
0.504
0.493
0.481
0.472
0.520
0.509
0.497
0.825
0.773
0.748
0.728
0.704
0.684
8.45
6.53
8.77
7.62
6.35
4.94
3.42
5.44
4.21
2.93
2.57
2.15
1.69
1.18
By, Bending Factor
0.582
ax, ÷ 10 6
17.0
ay, ÷ 10 6
10.8
0.557
14.7
9.33
0.532
11.8
7.56
10.2
6.54
0.880
12.2
3.97
10.7
3.52
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
55
1.70
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
8x2
Wall Thickness
1/2
3/8
5/16
1/4
Weight Per Foot
31.84
24.93
21.21
17.32
3/16
1/8
3/8
5/16
13.25
9.01
22.37
19.08
0.465
0.349
0.291
0.233
0.174*
0
2
3
4
5
264
249
238
225
212
206
195
187
178
168
176
166
159
152
144
143
135
130
124
118
101
97
94
91
87
6
7
8
9
10
196
179
161
142
121
156
144
131
117
101
134
124
113
102
89
110
102
94
84
74
11
12
13
14
15
100
84
71
62
54
85
71
61
52
46
76
64
54
47
41
16
17
18
19
20
47
42
37
33
====
40
36
32
28
26
====
36
32
28
25
23
====
Design Wall Thickness
Effective length KL in feet
ERW
8x3
Nominal Size
x
0.116*
Fy = 50 ksi
1/4
15.62
1/8
8.16
0.174*
0.116*
0.349
0.291
57
55
54
52
50
185
167
154
138
121
158
143
132
120
105
129
117
109
99
88
91
85
80
75
68
51
48
46
43
40
83
78
73
66
59
49
46
44
41
38
101
79
60
48
39
89
71
55
43
35
76
62
48
38
30
59
49
39
31
25
37
33
28
22
18
64
54
46
39
34
51
43
36
31
27
35
30
26
22
19
32
27
====
29
24
21
====
25
21
18
====
20
17
15
13
====
15
12
11
9
====
30
27
24
21
19
====
24
21
19
17
15
17
15
14
12
11
14
====
21
22
23
24
25
0.233
3/16
11.97
10
====
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
8.81
Ix, In. 4
58.5
Iy, In. 4
11.7
6.88
48.5
5.85
42.4
4.77
35.5
3.63
27.8
2.46
19.3
6.18
38.2
5.26
33.7
4.30
28.5
3.28
22.4
2.23
15.7
9.94
8.81
7.49
5.94
4.20
3.72
3.38
2.94
2.39
1.72
Ratio rx / ry
2.24
2.21
2.19
2.18
2.16
2.14
3.20
3.16
3.11
3.06
3.02
ry, In.
1.15
1.20
1.23
1.25
1.28
1.31
0.776
0.801
0.827
0.853
0.879
Bx, Bending Factor
0.602
0.567
0.552
0.537
0.522
0.510
0.647
0.624
0.604
0.586
0.568
By, Bending Factor
1.13
1.04
0.996
0.955
0.917
0.879
1.66
1.56
1.46
1.37
1.30
ax, ÷ 10 6
8.74
7.24
6.33
5.30
4.15
2.88
5.70
5.03
4.26
3.35
2.34
ay, ÷ 10 6
1.75
1.48
1.32
1.12
0.887
0.627
0.556
0.505
0.439
0.357
0.257
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
56
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
ERW
7x5
Nominal Size
x
7x4
Wall Thickness
5/8
1/2
3/8
5/16
1/4
3/16
1/8
1/2
3/8
5/16
1/4
3/16
1/8
Weight Per Foot
42.30
35.24
27.48
23.34
19.02
14.53
9.86
31.84
24.93
21.21
17.32
13.25
9.01
Effective length KL in feet
Design Wall Thickness
0.581
0.465
0.349
0.291
0.233
0.174*
0
2
3
4
5
351
339
332
324
314
292
283
277
270
263
227
220
216
211
205
193
187
183
179
174
157
152
149
146
142
118
115
113
111
108
6
7
8
9
10
304
294
282
270
257
255
246
237
227
217
199
193
186
178
171
169
164
158
152
146
138
134
130
125
120
11
12
13
14
15
243
228
213
197
181
206
194
182
169
156
162
154
145
135
125
139
132
124
116
108
16
17
18
19
20
163
145
130
116
105
142
128
114
102
92
115
104
93
84
75
21
22
23
24
25
95
87
79
73
67
84
76
70
64
59
26
27
28
29
30
62
58
54
50
47
31
32
33
34
35
44
====
0.116*
Fy = 50 ksi
0.465
0.349
0.291
0.233
0.174* 0.116*
68
67
66
65
64
264
253
246
238
229
206
198
193
186
180
176
169
164
159
153
143
138
134
130
125
107
104
102
99
96
62
60
59
58
56
105
102
99
95
91
63
61
60
58
57
219
208
196
183
170
172
164
155
146
136
147
140
133
126
117
121
115
110
103
97
92
88
84
79
74
55
53
51
49
47
114
108
102
96
90
87
83
79
74
69
55
53
50
48
46
156
141
126
109
95
126
115
103
91
79
109
100
90
80
70
90
83
75
67
59
69
64
58
52
46
45
42
39
36
32
100
91
82
73
66
83
76
68
61
55
64
59
53
48
43
43
40
37
33
30
84
74
66
59
53
70
62
55
49
45
61
54
49
44
39
52
46
41
37
33
41
36
32
29
26
28
25
22
20
18
68
62
57
52
48
60
55
50
46
42
50
46
42
38
35
39
36
33
30
28
27
25
23
21
19
48
44
40
37
34
====
40
37
34
31
28
36
32
30
27
25
30
27
25
23
21
24
21
20
18
17
17
15
14
13
12
55
51
47
44
41
45
41
39
36
34
39
36
34
31
29
33
30
28
26
25
26
24
22
21
19
18
16
15
14
13
26
====
23
====
20
18
====
15
14
====
11
10
9
====
38
====
31
29
====
27
26
24
====
23
22
20
====
18
17
16
15
====
12
12
11
10
====
6.43
5.24
36
37
38
39
40
PROPERTIES
Area, In.2
11.7
9.74
7.58
Ix, In. 4
69.3
60.6
49.5
43.0
35.8
27.9
3.98
19.3
2.70
50.6
8.81
41.8
6.88
36.4
5.85
30.5
4.77
23.8
3.63
Iy, In. 4
40.5
35.6
29.2
25.5
21.3
16.6
11.6
20.7
17.3
15.2
12.8
10.0
2.46
16.6
7.03
Ratio rx / ry
1.31
1.30
1.30
1.30
1.30
1.30
1.29
1.56
1.55
1.55
1.54
1.54
ry, In.
1.86
1.91
1.96
1.99
2.02
2.05
2.07
1.53
1.58
1.61
1.64
1.66
1.69
Bx, Bending Factor
0.591
0.563
0.536
0.523
0.512
0.499
0.490
0.609
0.576
0.563
0.547
0.534
0.519
By, Bending Factor
ax, ÷ 10 6
ay, ÷ 10 6
0.722
10.3
6.05
1.54
0.684
0.649
0.63
0.615
0.599
0.582
0.851
0.795
0.77
0.745
0.726
0.700
9.05
7.39
6.42
5.35
4.17
2.88
7.56
6.24
5.44
4.55
3.55
2.48
5.32
4.36
3.81
3.18
2.48
1.73
3.09
2.58
2.27
1.91
1.49
1.05
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
57
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
x
ERW
7x3
6x5
Wall Thickness
1/2
3/8
5/16
1/4
3/16
1/8
3/8
5/16
1/4
3/16
Weight Per Foot
28.43
22.37
19.08
15.62
11.97
8.16
24.93
21.21
17.32
13.25
Design Wall Thickness
0.465
0.349
0.291
0.174*
0.233
0.116*
0.349
0.291
0.233
0.174
Effective length KL in feet
Fy = 50 ksi
0
2
3
4
5
236
222
212
201
189
185
175
168
159
150
158
149
143
136
128
129
122
117
112
106
97
93
90
86
81
55
53
52
50
48
206
200
196
191
186
176
170
166
163
158
143
139
136
133
129
109
106
104
101
99
6
7
8
9
10
175
160
143
125
106
140
129
117
104
90
120
111
101
90
78
99
92
84
75
66
76
71
65
59
52
46
44
41
39
35
180
174
168
161
153
154
149
143
137
131
126
122
117
113
108
96
93
90
86
83
11
12
13
14
15
88
74
63
54
47
75
63
54
46
40
66
55
47
41
35
57
48
41
35
30
45
38
32
28
24
31
27
23
20
17
146
138
129
120
111
125
118
111
104
96
103
97
92
86
80
79
75
71
66
62
16
17
18
19
20
41
37
33
29
====
35
31
28
25
====
31
28
25
22
20
====
27
24
21
19
17
====
21
19
17
15
14
15
13
12
11
10
101
91
81
73
66
88
80
71
64
58
73
67
60
54
48
57
52
47
42
38
12
====
9
====
60
54
50
46
42
52
48
44
40
37
44
40
37
34
31
34
31
29
26
24
26
27
28
29
30
39
36
34
31
29
34
32
29
27
26
29
27
25
23
22
22
21
19
18
17
31
32
33
34
35
27
26
====
24
23
====
20
19
18
====
16
15
14
====
21
22
23
24
25
36
37
38
39
40
PROPERTIES
Area, In.2
7.88
Ix, In. 4
40.7
Iy, In. 4
10.2
6.18
34.0
5.26
29.9
4.30
3.28
25.2
19.8
2.23
13.8
6.88
5.85
4.77
3.63
33.9
29.6
24.7
19.3
25.5
22.3
18.7
14.6
8.70
7.74
6.59
5.24
3.71
Ratio rx / ry
2.00
1.98
1.97
1.96
1.94
1.93
1.15
1.15
1.15
1.15
ry, In.
1.14
1.19
1.21
1.24
1.26
1.29
1.92
1.95
1.98
2.01
Bx, Bending Factor
0.678
0.636
0.616
0.597
0.580
0.566
0.609
0.593
0.579
0.564
By, Bending Factor
1.16
1.07
1.02
0.979
0.939
0.902
0.675
0.656
0.638
0.622
ax, ÷ 10 6
6.08
5.08
4.47
3.76
2.96
2.06
5.06
4.42
3.69
2.88
ay, ÷ 10 6
1.52
1.30
1.16
0.984
0.782
0.554
3.81
3.33
2.79
2.18
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
58
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
Wall Thickness
Weight Per Foot
Design Wall Thickness
Effective length KL in feet
ERW
6x4
Nominal Size
6x3
1/2
3/8
5/16
1/4
3/16
1/8
28.43
22.37
19.08
15.62
11.97
8.16
0.465
0.349
0.291
0
2
3
4
5
236
226
220
212
204
185
178
173
167
161
6
7
8
9
10
194
184
174
162
150
11
12
13
14
15
1/2
3/8
5/16
1/4
25.03
19.82
16.96
13.91
0.116*
0.465
Fy = 50 ksi
0.233
0.174
158
151
147
143
137
129
124
121
117
113
98
95
92
89
86
60
58
57
56
54
154
146
138
130
121
132
125
119
112
104
108
103
98
92
86
83
79
75
71
66
137
123
108
94
82
111
101
90
79
68
96
88
79
69
61
80
73
66
59
51
16
17
18
19
20
72
64
57
51
46
60
53
48
43
38
53
47
42
38
34
21
22
23
24
25
42
38
35
32
29
====
35
32
29
27
25
====
26
27
28
29
30
x
3/16
10.70
0.174
1/8
7.31
0.116*
0.349
0.291
0.233
209
196
187
177
165
164
155
148
141
132
140
132
127
121
114
115
109
104
100
94
88
83
80
76
72
53
51
50
48
46
53
51
49
47
44
153
139
124
108
90
123
113
102
90
77
106
97
88
79
68
88
81
74
66
58
68
63
58
52
46
44
41
39
36
32
62
57
51
46
40
42
39
36
32
28
75
63
53
46
40
64
54
46
40
35
57
48
41
35
31
49
41
35
30
26
39
33
28
24
21
28
23
20
17
15
45
40
36
32
29
35
31
28
25
23
25
22
20
18
16
35
31
28
====
30
27
24
22
====
27
24
21
19
====
23
21
18
16
15
====
19
16
15
13
12
====
13
12
10
9
8
31
28
26
24
22
26
24
22
20
18
20
19
17
16
14
14
13
12
11
10
20
====
17
====
13
12
====
9
9
====
8
====
31
32
33
34
35
36
37
38
39
40
PROPERTIES
2
Area, In.
7.88
6.18
5.26
4.30
Ix, In. 4
33.9
28.3
24.8
20.9
Iy, In. 4
17.7
14.9
13.1
11.1
3.28
2.23
16.4
11.4
6.95
26.8
5.48
22.7
4.68
20.1
3.84
17.0
2.93
13.4
2.00
9.43
8.76
6.15
8.65
7.47
6.66
5.70
4.55
3.23
Ratio rx / ry
1.38
1.38
1.38
1.37
1.37
1.36
1.76
1.74
1.74
1.73
1.72
1.71
ry, In.
1.50
1.55
1.58
1.61
1.63
1.66
1.12
1.17
1.19
1.22
1.25
1.27
Bx, Bending Factor
0.697
0.655
0.636
0.617
0.600
0.587
0.778
0.724
0.699
0.678
0.656
0.636
By, Bending Factor
0.890
0.830
0.803
0.775
0.749
0.725
1.21
1.10
1.05
1.01
0.966
0.929
ax, ÷ 10 6
5.06
4.23
3.70
3.12
2.45
1.70
4.00
3.39
3.00
2.54
2.00
1.41
ay, ÷ 10 6
2.64
2.23
1.96
1.66
1.31
0.918
1.29
1.12
0.995
0.851
0.679
0.482
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
59
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
26 x 24
Nominal Size
Wall Thickness
5/8
Weight Per Foot
200.28
1/2
3/8
123.64
0.625*
0.500*
0.375*
0
2
3
4
5
1610
1600
1600
1590
1590
1170
1160
1160
1160
1160
746
744
743
742
740
6
7
8
9
10
1580
1580
1580
1570
1570
1150
1150
1150
1150
1140
11
12
13
14
15
1560
1560
1550
1550
1540
16
17
18
19
20
5/8
183.27
22 x 20
1/2
3/8
149.47
113.43
5/8
166.25
20 x 18
1/2
3/8
135.86
103.22
0.500*
0.375*
0.625
Fy = 46 ksi
0.500*
0.375*
1490
1480
1470
1470
1460
1120
1120
1120
1110
1110
720
717
716
715
713
1350
1340
1340
1330
1330
1070
1060
1060
1060
1050
691
689
687
685
684
739
737
736
734
733
1460
1450
1450
1440
1440
1110
1110
1100
1100
1100
712
710
708
707
705
1320
1320
1310
1300
1300
1050
1050
1040
1040
1040
1140
1140
1140
1130
1130
731
730
728
726
724
1430
1420
1420
1410
1400
1090
1090
1090
1080
1080
703
701
699
697
695
1290
1280
1280
1270
1260
1530
1530
1520
1520
1510
1130
1120
1120
1120
1110
722
721
719
717
715
1400
1390
1380
1380
1370
1080
1070
1070
1060
1060
693
691
689
687
684
21
22
23
24
25
1500
1490
1490
1480
1470
1110
1100
1100
1100
1090
713
711
708
706
704
1360
1350
1340
1340
1330
1060
1050
1050
1040
1040
26
27
28
29
30
1460
1450
1450
1440
1430
1090
1080
1080
1080
1070
702
700
697
695
692
1320
1310
1300
1290
1280
31
32
33
34
35
1420
1410
1400
1390
1380
1070
1060
1060
1050
1050
690
687
685
682
680
36
37
38
39
40
1370
1360
1350
1340
1330
1040
1040
1030
1030
1020
58.9
47.9
Design Wall Thickness
Effective length KL in feet
SAW
24 x 22
163.08
x
5/8
149.24
1/2
3/8
122.25
93.01
0.500
0.375*
1210
1200
1200
1190
1190
991
984
980
976
972
661
657
656
654
652
682
680
678
677
675
1180
1180
1170
1160
1160
967
963
958
953
948
650
648
646
644
641
1030
1030
1020
1020
1010
672
670
668
666
664
1150
1150
1140
1130
1120
943
937
932
926
920
639
637
634
631
629
1260
1250
1240
1230
1230
1010
1000
999
993
988
661
659
656
654
651
1120
1110
1100
1090
1080
914
908
902
895
888
626
623
620
617
614
682
680
677
675
672
1220
1210
1200
1190
1180
983
977
972
966
960
648
646
643
640
637
1080
1070
1060
1050
1040
882
875
868
860
853
611
608
604
601
597
1030
1030
1020
1020
1010
670
667
664
662
659
1180
1170
1160
1150
1140
954
948
941
935
929
634
631
628
625
621
1030
1020
1010
1000
992
846
838
830
822
814
594
590
586
582
578
1270
1270
1260
1250
1240
1010
1000
996
990
984
656
653
650
647
644
1130
1120
1110
1100
1090
922
915
908
900
892
618
614
611
607
604
982
972
961
950
940
806
798
789
781
772
574
570
566
562
557
677
674
671
669
666
1230
1220
1210
1200
1190
977
970
964
957
950
641
638
635
631
628
1080
1070
1060
1050
1040
884
875
867
858
849
600
596
592
588
584
929
918
906
895
883
764
755
746
736
727
553
548
543
539
534
36.3
53.9
0.625
0.625
PROPERTIES
Area, In.2
43.9
33.3
48.9
39.9
30.3
43.9
35.9
27.3
Ix, In. 4
6060
5020
3860
4680
3900
3000
3530
2950
2280
2590
2180
1690
Iy, In. 4
5370
4450
3420
4110
3420
2630
3060
2560
1970
2210
1850
1440
Ratio rx / ry
1.06
1.06
1.06
1.07
1.07
1.07
1.07
1.07
1.08
1.08
1.09
ry, In.
9.55
9.64
9.70
8.73
8.82
8.89
7.91
8.00
8.07
7.10
7.19
7.25
Bx, Bending Factor
0.126
0.124
0.122
0.138
0.135
0.133
0.152
0.149
0.146
0.169
0.165
0.162
By, Bending Factor
0.132
0.129
0.127
0.144
0.141
0.139
0.160
0.156
0.154
0.179
0.175
1.08
0.171
ax, ÷ 10 6
905
750
576
699
582
448
527
441
340
387
326
252
ay, ÷ 10 6
802
665
511
614
511
393
457
382
294
330
276
215
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
70
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
20 x 16
Wall Thickness
5/8
Weight Per Foot
140.73
1/2
115.45
20 x 12
3/8
87.91
SAW
18 x 12
5/8
5/8
123.72
115.21
1/2
95.03
0.625
0.500
0.375*
0
2
3
4
5
1140
1130
1130
1120
1120
936
928
924
920
915
643
639
637
635
633
1000
994
988
981
974
936
925
920
914
907
770
762
757
752
747
6
7
8
9
10
1110
1110
1100
1090
1090
911
906
901
895
890
631
629
626
623
620
967
960
952
943
934
900
893
885
877
869
11
12
13
14
15
1080
1070
1060
1060
1050
884
878
872
866
859
617
614
611
607
604
925
916
906
896
886
16
17
18
19
20
1040
1030
1020
1010
1000
853
846
839
832
824
600
596
592
588
584
21
22
23
24
25
995
985
975
966
955
817
809
801
793
785
26
27
28
29
30
945
935
924
913
902
31
32
33
34
35
36
37
38
39
40
Effective length KL in feet
Design Wall Thickness
0.625
x
0.625
0.500
Fy = 46 ksi
16 x 12
3/8
72.59
0.375*
5/8
106.71
14 x 12
1/2
3/8
81.42
62.39
0.625
0.500
0.375
550
546
543
543
537
867
857
852
846
840
660
652
648
644
639
505
500
496
493
490
741
736
730
723
717
534
531
527
524
520
833
826
819
812
804
634
629
623
618
612
486
482
478
474
469
861
852
843
833
823
710
702
695
687
680
516
512
508
503
499
796
787
778
769
760
606
599
593
586
579
464
460
455
450
444
875
864
853
841
830
813
803
792
781
770
671
663
654
646
637
494
489
484
479
474
751
741
731
720
709
571
564
556
548
540
439
433
427
421
415
580
576
572
567
563
817
805
792
779
766
758
746
734
722
709
627
618
608
598
588
468
462
456
450
444
698
687
676
664
652
532
523
514
505
496
409
403
396
389
383
777
769
760
751
742
558
553
548
543
538
752
739
725
710
696
697
683
670
656
643
578
567
557
546
535
438
431
424
417
410
640
627
615
602
589
487
478
468
458
448
376
369
361
354
346
891
879
868
856
844
733
724
715
705
696
533
527
522
516
511
681
665
650
634
618
628
614
599
584
569
523
512
500
488
476
403
394
385
376
367
575
561
547
533
519
438
427
417
406
395
339
331
323
315
307
832
819
807
794
781
686
676
666
656
646
505
499
493
487
481
602
585
569
551
534
554
538
522
506
489
463
451
438
425
411
358
348
339
329
319
504
489
474
458
442
384
372
361
349
337
298
290
281
272
263
41.4
33.9
25.8
36.4
PROPERTIES
Area, In.2
33.9
27.9
21.3
31.4
23.9
18.3
Ix, In. 4
2360
1990
1540
1890
1450
1240
971
1090
678
534
Iy, In. 4
1680
1410
1100
864
783
668
524
702
536
422
Ratio rx / ry
1.19
1.19
1.18
1.48
1.36
1.36
1.36
1.25
1.12
ry, In.
6.37
6.46
6.52
4.87
4.81
4.89
4.95
4.73
4.73
4.80
Bx, Bending Factor
0.175
0.170
0.168
0.193
0.210
0.202
0.197
0.230
0.247
0.240
By, Bending Factor
0.197
0.192
0.188
0.253
0.260
ax, ÷ 10 6
352
297
230
282
217
ay, ÷ 10 6
251
211
164
129
117
0.251
185
99.8
0.244
145
78.2
0.268
163
105
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
71
0.268
101
80.0
1.12
0.260
79.7
63.0
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
x
ERW
6x2
5x4
Wall Thickness
3/8
5/16
1/4
3/16
1/8
1/2
3/8
5/16
1/4
3/16
Weight Per Foot
17.27
14.83
12.21
9.42
6.46
25.03
19.82
16.96
13.91
10.70
0.174
0.116*
0.465
Fy = 50 ksi
Effective length KL in feet
Design Wall Thickness
0.349
0.291
0.233
0
2
3
4
5
143
129
118
106
92
123
111
102
92
81
101
92
85
77
68
77
70
65
60
53
47
44
41
39
36
209
199
193
186
178
6
7
8
9
10
76
58
45
35
29
68
53
41
32
26
58
47
36
28
23
46
38
29
23
19
32
27
21
17
14
11
12
13
14
15
24
20
====
22
18
15
====
19
16
14
====
15
13
11
====
11
9
8
7
====
0.349
0.291
0.233
0.174
164
157
153
148
142
140
135
131
126
122
115
110
107
104
100
88
84
82
80
77
170
161
151
140
129
136
129
121
114
105
116
111
104
98
91
96
91
86
81
76
74
70
67
63
59
117
104
91
78
68
97
87
77
67
58
84
76
67
59
51
70
64
57
50
44
54
50
45
40
35
16
17
18
19
20
60
53
47
43
38
51
45
41
36
33
45
40
36
32
29
38
34
30
27
25
30
27
24
22
19
21
22
23
24
25
35
32
29
27
====
30
27
25
23
21
====
26
24
22
20
18
====
22
20
19
17
16
18
16
15
14
12
15
====
12
====
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
2
Area, In.
Ix, In. 4
4.78
17.1
4.10
15.3
3.37
13.1
2.58
1.77
10.5
6.95
5.48
4.68
7.42
21.2
17.9
15.8
14.8
12.6
11.1
3.84
13.4
2.93
10.6
Iy, In. 4
2.75
2.52
2.21
1.80
1.31
9.46
7.48
Ratio rx / ry
2.49
2.46
2.43
2.42
2.38
1.20
1.19
1.19
1.19
1.19
ry, In.
0.759
0.784
0.809
0.835
0.861
1.46
1.52
1.54
1.57
1.60
Bx, Bending Factor
0.839
0.804
0.772
0.737
0.716
0.820
0.765
0.741
0.716
0.691
By, Bending Factor
1.74
1.63
1.52
1.43
1.35
0.939
0.870
0.843
0.812
0.783
ax, ÷ 10 6
2.55
2.28
1.96
1.57
1.11
3.17
2.67
2.36
2.00
1.58
ay, ÷ 10 6
0.411
0.376
0.330
0.269
0.196
2.21
1.88
1.66
1.41
1.12
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
60
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
x
ERW
5x3
5 x 2 1/2
Wall Thickness
1/2
3/8
5/16
1/4
3/16
1/8
1/4
3/16
1/8
Weight Per Foot
21.63
17.27
14.83
12.21
9.42
6.46
11.36
8.78
6.03
0.233
0.174
0.116*
Effective length KL in feet
Design Wall Thickness
0.174
Fy = 50 ksi
0.116*
0.465
0.349
0.291
0.233
0
2
3
4
5
181
169
161
152
142
143
135
129
122
114
123
116
111
105
99
101
95
91
87
82
77
73
70
67
63
51
49
47
45
43
94
87
83
77
71
72
67
64
60
55
47
45
43
41
38
6
7
8
9
10
130
118
104
90
74
106
97
87
76
64
92
84
76
67
58
76
70
64
57
49
59
55
50
45
39
41
38
35
31
28
64
57
49
40
32
50
45
39
32
26
35
31
27
23
19
11
12
13
14
15
61
52
44
38
33
53
45
38
33
29
48
40
34
30
26
41
34
29
25
22
33
28
24
20
18
24
20
17
15
13
27
23
19
17
14
21
18
15
13
12
16
13
11
10
8
16
17
18
19
20
29
26
23
====
25
22
20
18
====
23
20
18
16
====
19
17
15
14
====
16
14
12
11
10
====
11
10
9
8
7
====
13
====
10
9
====
7
7
====
6.02
4.78
4.10
2.58
1.77
3.14
2.41
1.65
8.53
6.03
9.40
7.51
5.34
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
Ix, In. 4
16.4
14.1
12.6
3.37
10.7
Iy, In. 4
7.14
6.23
5.59
4.81
3.85
2.75
3.13
2.53
1.82
Ratio rx / ry
1.52
1.50
1.50
1.49
1.49
1.48
1.73
1.72
1.71
ry, In.
1.09
1.14
1.17
1.19
1.22
1.25
0.998
1.02
1.05
Bx, Bending Factor
0.918
0.848
0.813
0.787
0.756
0.734
0.835
0.802
0.772
By, Bending Factor
1.26
1.15
1.10
1.05
1.01
0.965
1.25
1.19
1.13
ax, ÷ 10 6
2.45
2.11
1.88
1.60
1.27
0.900
1.40
1.12
0.797
ay, ÷ 10 6
1.07
0.93
0.835
0.718
0.575
0.411
0.467
0.378
0.272
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
61
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
5x2
Nominal Size
Wall Thickness
Weight Per Foot
Effective length KL in feet
Design Wall Thickness
ERW
4x3
3/8
5/16
1/4
3/16
1/8
3/8
14.72
12.70
10.51
8.15
5.61
14.72
0.233
0.174
0.116*
4 x 2 1/2
1/4
3/16
1/8
5/16
1/4
3/16
10.51
8.15
5.61
11.64
9.66
7.51
0.233
0.174
0.291
Fy = 50 ksi
0.233
0.174
0.116
123
115
110
104
97
106
99
95
90
84
87
82
79
75
70
67
63
61
58
54
46
44
42
40
38
97
89
84
78
71
80
74
70
65
60
62
57
54
51
47
28
23
18
14
11
89
81
72
63
52
78
71
63
55
47
65
60
54
47
40
51
47
42
38
33
35
32
29
26
23
64
56
46
37
30
54
47
40
32
26
42
37
32
26
21
9
8
7
6
====
43
36
31
27
23
39
32
28
24
21
34
28
24
21
18
27
23
19
17
15
19
16
14
12
10
25
21
18
15
13
====
22
18
16
13
12
18
15
13
11
9
20
18
16
====
18
16
14
====
16
14
13
11
====
13
11
10
9
====
9
8
7
6
6
====
10
====
8
====
0.349
0.291
0
2
3
4
5
123
110
101
90
77
106
95
87
79
68
87
79
73
66
58
67
61
57
51
46
44
41
39
36
32
6
7
8
9
10
63
48
37
29
24
57
44
34
27
22
49
39
30
24
19
39
32
25
19
16
11
12
13
14
15
20
16
====
18
15
====
16
13
11
====
13
11
9
====
16
17
18
19
20
0.349
5/16
12.70
x
0.291
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
2
Area, In.
Ix, In. 4
4.09
10.3
3.52
2.91
2.24
1.54
4.09
3.52
2.91
2.24
1.54
3.23
2.67
2.06
9.34
8.08
6.50
4.65
7.92
7.13
6.15
4.93
3.52
6.13
5.32
4.30
Iy, In. 4
2.27
2.09
1.84
1.51
1.10
5.00
4.52
3.91
3.16
2.27
2.89
2.53
2.06
Ratio rx / ry
2.13
2.11
2.10
2.07
2.06
1.26
1.26
1.25
1.25
1.25
1.46
1.45
1.44
ry, In.
0.746
0.771
0.796
0.822
0.848
1.11
1.13
1.16
1.19
1.21
0.946
0.973
0.999
Bx, Bending Factor
0.993
0.942
0.900
0.862
0.828
1.03
0.987
0.946
0.909
0.875
1.05
1.00
0.958
By, Bending Factor
1.80
1.68
1.58
1.48
1.40
1.23
1.17
1.12
1.06
1.02
1.40
1.32
1.25
ax, ÷ 10 6
1.54
1.39
1.21
0.971
0.694
1.18
1.06
0.918
0.736
0.526
0.915
0.794
0.642
ay, ÷ 10 6
0.339
0.312
0.275
0.225
0.164
0.747
0.675
0.584
0.472
0.339
0.432
0.378
0.308
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
Note: Double Horizontal Line indicates k l/r limit of 200.
62
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
x
ERW
4x2
3 1/2 x 2 1/2
Wall Thickness
3/8
5/16
1/4
3/16
1/8
3/8
5/16
1/4
3/16
1/8
Weight Per Foot
12.17
10.58
8.81
6.87
4.75
12.17
10.58
8.81
6.87
4.75
0.233
0.174
0.116
0.349
Fy = 50 ksi
0.291
0.233
0.174
0.116
Effective length KL in feet
Design Wall Thickness
0.349
0.291
0
2
3
4
5
102
91
83
73
63
88
79
73
65
56
73
66
61
55
48
57
51
48
43
38
39
35
33
30
27
102
93
88
81
73
88
81
76
71
64
73
68
64
59
54
57
53
50
46
43
39
36
34
32
30
6
7
8
9
10
51
38
29
23
19
46
35
27
21
17
40
31
24
19
15
32
26
20
16
13
23
19
15
11
9
65
55
45
35
29
57
50
41
32
26
49
42
36
29
23
38
34
29
23
19
27
24
21
17
14
11
12
13
14
15
15
13
====
14
12
====
13
11
====
10
9
7
====
8
6
5
====
24
20
17
15
13
====
22
18
16
13
12
====
19
16
14
12
10
====
16
13
11
10
8
11
10
8
7
6
7
====
5
====
1.30
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
2
Area, In.
3.39
2.94
2.44
1.89
1.30
3.39
2.94
2.44
1.89
Ix, In. 4
5.59
5.12
4.49
3.66
2.65
4.74
4.34
3.79
3.09
2.23
Iy, In. 4
1.79
1.66
1.48
1.22
0.898
2.75
2.53
2.23
1.82
1.33
Ratio rx / ry
1.77
1.76
1.74
1.73
1.72
1.31
1.31
1.30
1.30
1.29
ry, In.
0.727
0.752
0.778
0.804
0.830
0.902
0.929
0.956
0.983
1.01
Bx, Bending Factor
1.21
1.15
1.09
1.03
0.981
1.25
1.19
1.13
1.07
1.02
By, Bending Factor
1.89
1.77
1.65
1.55
1.45
1.54
1.45
1.37
1.3
1.22
ax, ÷ 10 6
0.835
0.765
0.670
0.547
0.396
0.708
0.648
0.566
0.461
0.333
ay, ÷ 10 6
0.267
0.248
0.221
0.182
0.134
0.411
0.378
0.333
0.272
0.199
Note: Double Horizontal Line indicates k l/r limit of 200.
63
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
3 x 2 1/2
Nominal Size
x
ERW
3x2
3 x 1 1/2
5/16
1/4
3/16
1/8
5/16
1/4
3/16
1/8
1/4
3/16
1/8
Weight Per Foot
9.51
7.96
6.23
4.33
8.45
7.11
5.59
3.90
6.26
4.96
3.48
Design Wall Thickness
0.291
0.233
0.174
0.116
0.291
0.174
0.116
0.233
0.174
0.116
0
2
3
4
5
79
73
68
63
57
66
61
58
53
49
51
47
45
42
38
36
33
31
29
27
71
63
57
51
43
59
53
49
43
37
46
42
38
35
30
32
29
27
24
21
52
44
38
31
22
41
35
31
25
19
29
25
22
19
14
6
7
8
9
10
51
43
35
28
23
43
38
31
25
20
34
30
25
20
16
24
21
18
15
12
35
26
20
16
13
31
23
18
14
11
25
20
15
12
10
18
15
11
9
7
16
11
9
7
====
13
10
8
6
====
10
8
6
5
4
====
11
12
13
14
15
19
16
13
11
10
====
17
14
12
10
9
====
14
11
10
8
7
10
8
7
6
5
11
9
====
9
8
====
8
7
====
6
5
4
====
6
====
5
====
Effective length KL in feet
Wall Thickness
16
17
18
19
20
0.233
Fy = 50 ksi
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
2.64
2.21
1.71
1.19
2.35
1.97
1.54
1.07
1.74
1.37
0.96
Ix, In. 4
2.91
2.57
2.11
1.54
2.38
2.12
1.76
1.30
1.68
1.42
1.06
Iy, In. 4
2.17
1.93
1.59
1.16
1.23
1.11
0.931
0.692
0.541
0.466
0.355
Ratio rx / ry
1.16
1.15
1.15
1.15
1.39
1.38
1.37
1.37
1.76
1.75
1.73
ry, In.
0.907
0.935
0.962
0.990
0.724
0.750
0.777
0.804
0.558
0.584
0.610
Bx, Bending Factor
1.36
1.29
1.22
1.16
1.48
1.39
1.31
1.23
1.55
1.45
1.36
By, Bending Factor
1.52
1.43
1.34
1.28
1.91
1.77
1.65
1.55
2.41
2.20
2.03
ax, ÷ 10 6
0.435
0.384
0.315
0.230
0.355
0.317
0.263
0.194
0.251
0.212
0.158
ay, ÷ 10 6
0.324
0.288
0.237
0.173
0.184
0.166
0.139
0.103
0.081
0.070
0.053
Note: Double Horizontal Line indicates k l/r limit of 200.
64
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
3x1
x
ERW
2 1/2 x 1 1/2
2 x 1 1/2
2x1
Wall Thickness
3/16
1/8
1/4
3/16
1/8
3/16
1/8
3/16
1/8
Weight Per Foot
4.32
3.05
5.41
4.32
3.05
3.68
2.63
3.04
2.20
Design Wall Thickness
0.174
0.116
0.233
0.174
0.116
0.174
0.116
0.174
0.116
Fy = 50 ksi
0
2
3
4
5
36
26
19
11
7
25
19
14
9
6
45
38
33
26
19
36
30
26
22
16
25
22
19
16
12
31
26
22
18
13
22
18
16
13
10
25
18
13
7
5
18
14
10
6
4
6
7
8
9
10
5
====
4
====
13
9
7
6
====
11
8
6
5
====
9
6
5
4
====
9
7
5
4
====
7
5
4
3
====
3
====
3
====
Effective length KL in feet
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
1.19
0.84
1.51
1.19
0.84
1.02
0.72
0.84
0.61
Ix, In. 4
1.07
0.817
1.03
0.881
0.668
0.494
0.383
0.349
0.280
Iy, In. 4
0.172
0.138
0.447
0.389
0.299
0.312
0.244
0.112
0.092
Ratio rx / ry
2.49
2.43
1.52
1.50
1.49
1.26
1.25
1.77
1.74
ry, In.
0.380
0.405
0.544
0.571
0.597
0.553
0.580
0.364
0.389
Bx, Bending Factor
1.67
1.54
1.83
1.69
1.57
2.06
1.88
2.41
2.18
By, Bending Factor
3.46
3.04
2.53
2.29
2.11
2.45
2.21
3.75
3.32
ax, ÷ 10 6
0.160
0.122
0.154
0.132
0.100
0.074
0.057
0.052
0.042
ay, ÷ 10 6
0.026
0.021
0.067
0.058
0.045
0.047
0.036
0.017
0.014
Note: Double Horizontal Line indicates k l/r limit of 200.
65
HSS / Structural Steel Tubing
NOTES
66
HSS / Square
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
32 x 32
Nominal Size
Wall Thickness
5/8
Weight Per Foot
259.83
Effective length KL in feet
Design Wall Thickness
1/2
210.72
SAW
30 x 30
3/8
159.37
28 x 28
5/8
1/2
3/8
5/8
242.82
197.11
149.16
225.80
1/2
183.50
26 x 26
3/8
5/8
138.95
208.79
1/2
169.89
3/8
128.74
0.625*
0.500*
0.375*
0.625*
0.500*
0.375*
0.625*
Fy = 46 ksi
0.500*
0.375*
0.625*
0.500*
0.375*
0
2
3
4
5
1840
1830
1830
1830
1820
1310
1300
1300
1300
1300
828
826
825
824
823
1780
1780
1780
1770
1770
1270
1270
1260
1260
1260
806
804
803
802
801
1730
1720
1720
1710
1710
1230
1230
1230
1220
1220
783
781
780
779
778
1660
1660
1650
1650
1650
1190
1190
1180
1180
1180
759
757
756
755
753
6
7
8
9
10
1820
1820
1820
1810
1810
1290
1290
1290
1290
1290
822
821
820
819
818
1770
1760
1760
1760
1750
1260
1260
1250
1250
1250
800
799
798
797
796
1710
1700
1700
1700
1690
1220
1220
1210
1210
1210
777
776
774
773
772
1640
1640
1640
1630
1630
1180
1180
1170
1170
1170
752
751
749
748
747
11
12
13
14
15
1810
1800
1800
1800
1790
1290
1280
1280
1280
1280
817
816
814
813
812
1750
1750
1740
1740
1740
1250
1250
1240
1240
1240
794
793
792
790
789
1690
1690
1680
1680
1670
1210
1210
1200
1200
1200
770
769
768
766
765
1630
1620
1620
1610
1610
1170
1160
1160
1160
1150
745
744
742
740
739
16
17
18
19
20
1790
1790
1780
1780
1780
1270
1270
1270
1270
1270
811
810
808
807
806
1730
1730
1720
1720
1720
1240
1230
1230
1230
1230
788
786
785
784
782
1670
1670
1660
1660
1650
1190
1190
1190
1190
1180
763
762
760
759
757
1600
1600
1590
1590
1580
1150
1150
1140
1140
1140
737
736
734
732
730
21
22
23
24
25
1770
1770
1760
1760
1760
1260
1260
1260
1250
1250
804
803
801
800
799
1710
1710
1700
1700
1690
1220
1220
1220
1210
1210
781
779
778
776
774
1650
1640
1640
1630
1630
1180
1180
1170
1170
1170
755
754
752
750
748
1580
1570
1560
1560
1550
1130
1130
1130
1120
1120
728
726
725
723
721
26
27
28
29
30
1750
1750
1740
1740
1730
1250
1250
1240
1240
1240
797
796
794
793
791
1690
1680
1680
1670
1670
1210
1210
1200
1200
1200
773
771
770
768
766
1620
1620
1610
1610
1600
1160
1160
1160
1150
1150
747
745
743
741
739
1540
1530
1520
1520
1510
1120
1110
1110
1110
1100
719
717
714
712
710
31
32
33
34
35
1730
1720
1720
1710
1710
1240
1230
1230
1230
1220
789
788
786
785
783
1660
1660
1650
1650
1640
1190
1190
1190
1180
1180
764
763
761
759
757
1590
1590
1580
1580
1570
1150
1140
1140
1140
1130
737
735
733
731
729
1500
1490
1480
1470
1470
1100
1090
1090
1090
1080
708
706
703
701
699
36
37
38
39
40
1700
1700
1690
1690
1680
1220
1220
1210
1210
1210
781
779
778
776
774
1640
1630
1630
1620
1610
1180
1170
1170
1170
1160
755
753
751
749
747
1560
1560
1550
1550
1540
1130
1120
1120
1120
1110
727
725
722
720
718
1460
1450
1440
1430
1420
1080
1070
1070
1060
1060
696
694
691
689
686
76.4
61.9
46.8
71.4
66.4
53.9
40.8
61.4
49.9
37.8
PROPERTIES
Area, In.2
I, In.
4
r, In.
B, Bending Factor
a ÷ 10 6
12300
12.7
0.099
1840
10100
12.8
0.098
1510
7750
12.9
0.097
1160
10100
11.9
0.106
1510
57.9
43.8
8320
6370
12.0
12.1
0.104
1240
0.103
951
8140
11.1
0.114
1220
6730
11.2
0.112
1010
5150
11.2
0.111
769
*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
67
6460
10.3
0.124
965
5350
10.4
0.121
799
4110
10.4
0.120
614
HSS / Square
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
24 x 24
Nominal Size
Wall Thickness
5/8
Weight Per Foot
191.78
Effective length KL in feet
22 x 22
20 x 20
1/2
3/8
5/8
1/2
3/8
156.28
118.53
174.76
142.67
108.32
0.625
0.500*
0.375*
0.625
0.500*
0
2
3
4
5
1560
1550
1540
1540
1530
1150
1140
1140
1140
1140
734
731
730
729
727
1420
1410
1410
1400
1400
1100
1100
1090
1090
1090
706
704
702
701
699
6
7
8
9
10
1530
1520
1520
1510
1510
1130
1130
1130
1120
1120
726
724
723
721
720
1390
1390
1380
1380
1370
1090
1080
1080
1080
1070
11
12
13
14
15
1500
1500
1490
1480
1480
1120
1120
1110
1110
1110
718
716
715
713
711
1360
1360
1350
1340
1340
16
17
18
19
20
1470
1460
1460
1450
1440
1100
1100
1100
1090
1090
709
707
705
703
701
21
22
23
24
25
1440
1430
1420
1410
1410
1090
1080
1080
1070
1070
26
27
28
29
30
1400
1390
1380
1370
1360
31
32
33
34
35
36
37
38
39
40
Design Wall Thickness
SAW
5/8
157.75
0.375*
0.625
Fy = 46 ksi
18 x 18
1/2
3/8
5/8
129.06
98.12
140.73
0.500
0.375*
1280
1270
1270
1260
1260
1050
1040
1040
1030
1030
677
674
672
671
669
698
696
694
693
691
1250
1250
1240
1240
1230
1020
1020
1020
1010
1010
1070
1070
1060
1060
1060
689
687
685
683
681
1220
1220
1210
1210
1200
1330
1320
1320
1310
1300
1050
1050
1040
1040
1040
679
677
675
672
670
699
697
695
693
691
1300
1290
1280
1270
1260
1030
1030
1020
1020
1010
1070
1060
1060
1050
1050
688
686
684
681
679
1260
1250
1240
1230
1220
1360
1350
1340
1330
1320
1040
1040
1030
1030
1020
676
674
671
668
666
1310
1300
1290
1280
1270
1020
1010
1010
1000
997
56.4
45.9
1/2
115.45
3/8
87.91
0.500
0.375*
1140
1130
1130
1120
1120
936
929
925
921
917
645
641
640
638
636
667
665
663
662
659
1110
1110
1100
1100
1090
913
909
904
899
894
634
632
630
627
625
1000
996
991
985
980
657
655
653
651
648
1090
1080
1070
1070
1060
889
884
879
873
868
623
620
617
615
612
1190
1180
1180
1170
1160
974
968
963
957
950
646
643
641
638
636
1050
1040
1040
1030
1020
862
856
850
843
837
609
606
603
600
597
668
665
663
660
658
1150
1150
1140
1130
1120
944
938
931
925
918
633
630
627
624
621
1010
1000
995
986
978
830
824
817
810
803
594
590
587
583
580
1010
1000
998
993
988
655
652
650
647
644
1110
1100
1100
1090
1080
911
904
897
890
882
618
615
612
608
605
969
959
950
941
931
796
788
781
773
765
576
572
568
565
560
1210
1200
1190
1180
1180
982
977
971
965
960
641
638
635
632
629
1070
1060
1050
1040
1030
875
867
859
852
844
602
598
595
591
587
921
911
901
891
881
758
750
741
733
725
556
552
548
543
539
663
660
657
654
651
1170
1160
1150
1140
1130
953
946
938
930
922
626
622
619
616
612
1020
1010
998
988
977
836
827
819
811
802
583
579
575
571
567
870
859
848
837
826
716
708
699
690
681
534
529
524
519
514
34.8
51.4
46.4
37.9
28.8
41.4
33.9
25.8
0.625
PROPERTIES
Area, In.2
I, In.
4
5030
4170
3210
3820
41.9
31.8
3190
2460
2830
2370
1830
2020
1700
1320
r, In.
9.44
9.53
9.60
8.62
8.72
8.78
7.81
7.90
7.97
6.99
7.08
7.15
B, Bending Factor
0.135
0.132
0.130
0.148
0.144
0.142
0.164
0.160
0.157
0.184
0.179
0.176
a ÷ 10 6
751
623
479
570
476
367
423
354
273
*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
68
302
254
197
HSS / Rectangular
Structural Steel Tubing
Fy=46
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
32 x 24
Wall Thickness
5/8
Weight Per Foot
225.80
Effective length KL in feet
Design Wall Thickness
1/2
183.50
SAW
30 x 24
3/8
5/8
138.95
217.30
0.625*
0.500*
0.375*
0.625*
0
2
3
4
5
1680
1670
1670
1670
1660
1230
1220
1220
1220
1220
781
779
778
777
775
1660
1650
1650
1640
1640
6
7
8
9
10
1660
1650
1650
1640
1640
1210
1210
1210
1210
1200
774
772
771
770
768
11
12
13
14
15
1640
1630
1630
1620
1620
1200
1200
1190
1190
1190
16
17
18
19
20
1610
1600
1600
1590
1590
21
22
23
24
25
1/2
176.70
0.500*
Fy = 46 ksi
x
28 x 24
3/8
5/8
133.84
208.79
1/2
169.89
0.500*
3/8
128.74
0.375*
0.625*
0.375*
1210
1200
1200
1200
1200
770
768
767
765
764
1630
1630
1620
1620
1610
1190
1180
1180
1180
1180
759
756
755
754
752
1630
1630
1630
1620
1620
1190
1190
1190
1190
1180
763
761
760
758
757
1610
1610
1600
1600
1590
1180
1170
1170
1170
1160
751
750
748
747
745
767
765
763
762
760
1610
1610
1600
1600
1590
1180
1180
1180
1170
1170
755
754
752
750
749
1590
1580
1580
1570
1570
1160
1160
1160
1150
1150
744
742
740
738
737
1180
1180
1180
1170
1170
758
756
755
753
751
1590
1580
1570
1570
1560
1170
1160
1160
1160
1150
747
745
743
741
739
1560
1560
1550
1540
1540
1150
1140
1140
1140
1130
735
733
731
729
727
1580
1580
1570
1560
1560
1170
1160
1160
1160
1150
749
747
745
743
741
1560
1550
1540
1540
1530
1150
1150
1140
1140
1130
737
735
733
731
729
1530
1530
1520
1510
1510
1130
1130
1120
1120
1110
725
723
721
719
717
26
27
28
29
30
1550
1540
1540
1530
1520
1150
1140
1140
1140
1130
739
736
734
732
730
1520
1520
1510
1500
1500
1130
1130
1120
1120
1110
727
725
722
720
718
1500
1490
1480
1480
1470
1110
1110
1100
1100
1090
715
712
710
708
705
31
32
33
34
35
1510
1510
1500
1490
1480
1130
1120
1120
1110
1110
727
725
722
720
717
1490
1480
1470
1470
1460
1110
1100
1100
1100
1090
715
713
711
708
705
1460
1450
1450
1440
1430
1090
1080
1080
1070
1070
703
700
698
695
693
36
37
38
39
40
1480
1470
1460
1450
1440
1110
1100
1100
1090
1090
715
712
710
707
704
1450
1440
1430
1430
1420
1090
1080
1080
1070
1070
703
700
698
695
692
1420
1410
1410
1400
1390
1060
1060
1050
1050
1040
690
688
685
682
679
66.4
53.9
40.8
PROPERTIES
Area, In.2
63.9
51.9
39.3
61.4
49.9
37.8
Ix, In. 4
9880
8160
6250
8480
7010
5380
7210
5970
4580
Iy, In. 4
6390
5280
4050
6050
5000
3840
5710
4730
3630
Ratio rx / ry
1.24
1.24
1.24
1.18
1.18
1.18
1.12
1.12
ry, In.
9.81
9.89
9.96
9.73
9.82
9.88
9.65
9.73
9.79
Bx, Bending Factor
0.108
0.106
0.104
0.113
0.111
0.119
0.117
0.116
By, Bending Factor
0.125
0.123
0.121
0.127
0.125
.110
0.123
0.129
0.127
1.12
0.125
ax, ÷ 10 6
1480
1220
933
1270
1050
803
1080
892
684
ay, ÷ 10 6
954
788
605
903
747
573
853
706
542
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
69
HSS / Square
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
32 x 32
Nominal Size
Wall Thickness
5/8
Weight Per Foot
259.83
Effective length KL in feet
Design Wall Thickness
0.625*
1/2
210.72
0.500*
SAW
30 x 30
28 x 28
3/8
5/8
1/2
3/8
5/8
159.37
242.82
197.11
149.16
225.80
0.375*
0.625*
0.500*
0.375*
0.625*
Fy = 50 ksi
1/2
183.50
26 x 26
3/8
5/8
1/2
138.95
208.79
169.89
0.500*
0.375*
0.625*
0.500*
3/8
128.74
0.375*
0
2
3
4
5
1950
1950
1940
1940
1940
1390
1380
1380
1380
1380
878
876
875
874
873
1890
1890
1890
1880
1880
1350
1340
1340
1340
1340
855
853
852
851
850
1830
1830
1820
1820
1820
1310
1300
1300
1300
1300
831
829
828
826
825
1770
1760
1760
1760
1750
1260
1260
1260
1260
1250
806
803
802
801
799
6
7
8
9
10
1940
1930
1930
1930
1920
1370
1370
1370
1370
1370
872
871
869
868
867
1880
1870
1870
1870
1860
1340
1330
1330
1330
1330
848
847
846
845
843
1810
1810
1810
1800
1800
1290
1290
1290
1290
1280
824
822
821
820
818
1750
1740
1740
1740
1730
1250
1250
1250
1240
1240
798
796
795
793
792
11
12
13
14
15
1920
1910
1910
1910
1900
1360
1360
1360
1360
1350
866
865
863
862
861
1860
1850
1850
1850
1840
1320
1320
1320
1320
1310
842
841
839
838
836
1790
1790
1790
1780
1780
1280
1280
1280
1270
1270
817
815
814
812
811
1730
1720
1720
1710
1710
1240
1230
1230
1230
1220
790
788
787
785
783
16
17
18
19
20
1900
1900
1890
1890
1880
1350
1350
1350
1340
1340
859
858
856
855
854
1840
1830
1830
1830
1820
1310
1310
1310
1300
1300
835
833
832
830
829
1770
1770
1760
1760
1750
1270
1260
1260
1260
1250
809
807
806
804
802
1700
1700
1690
1690
1680
1220
1220
1210
1210
1210
781
780
778
776
774
21
22
23
24
25
1880
1870
1870
1870
1860
1340
1340
1330
1330
1330
852
850
849
847
846
1820
1810
1810
1800
1800
1300
1290
1290
1290
1280
827
825
824
822
820
1750
1740
1740
1730
1730
1250
1250
1240
1240
1240
800
798
796
794
792
1670
1670
1660
1660
1650
1200
1200
1200
1190
1190
772
770
767
765
763
26
27
28
29
30
1860
1850
1850
1840
1840
1320
1320
1320
1310
1310
844
843
841
839
837
1790
1790
1780
1770
1770
1280
1280
1270
1270
1270
818
817
815
813
811
1720
1710
1710
1700
1700
1230
1230
1230
1220
1220
790
788
786
784
782
1640
1640
1630
1620
1620
1180
1180
1180
1170
1170
761
759
756
754
751
31
32
33
34
35
1830
1830
1820
1820
1810
1310
1310
1300
1300
1300
836
834
832
830
828
1760
1760
1750
1750
1740
1260
1260
1260
1250
1250
809
807
805
803
801
1690
1680
1680
1670
1660
1220
1210
1210
1200
1200
780
778
775
773
771
1610
1600
1590
1590
1580
1160
1160
1150
1150
1140
749
747
744
741
739
36
37
38
39
40
1800
1800
1790
1790
1780
1290
1290
1280
1280
1280
827
825
823
821
819
1730
1730
1720
1710
1710
1240
1240
1240
1230
1230
799
797
795
793
790
1660
1650
1640
1630
1630
1190
1190
1190
1180
1180
769
766
764
761
759
1570
1560
1550
1540
1530
1140
1130
1130
1120
1120
736
733
731
728
725
76.4
61.9
46.8
71.4
66.4
53.9
40.8
61.4
49.9
37.8
PROPERTIES
Area, In.2
I, In.
4
r, In.
B, Bending Factor
a ÷ 10 6
12300
12.7
0.099
1840
10100
12.8
0.098
1510
7750
12.9
0.097
1160
10100
11.9
0.106
1510
57.9
43.8
8320
6370
12.0
12.1
0.104
1240
0.103
951
8140
11.1
0.114
1220
6730
11.2
0.112
1010
5150
11.2
0.111
769
*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
72
6460
10.3
0.124
965
5350
10.4
0.121
799
4110
10.4
0.120
614
HSS / Square
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
24 x 24
Nominal Size
Wall Thickness
Weight Per Foot
Effective length KL in feet
Design Wall Thickness
22 x 22
5/8
1/2
3/8
191.78
156.28
118.53
0.625
0.500*
SAW
0.375*
5/8
174.76
0.625
20 x 20
1/2
3/8
142.67
108.32
0.500*
5/8
157.75
0.375*
0.625
Fy = 50 ksi
1/2
129.06
18 x 18
3/8
5/8
98.12
0.500*
0.375*
140.73
0.625
1/2
115.45
0.500
3/8
87.91
0.375*
0
2
3
4
5
1690
1680
1680
1670
1670
1220
1210
1210
1210
1210
779
776
775
773
772
1540
1530
1530
1520
1520
1170
1160
1160
1160
1160
750
747
745
744
742
1390
1380
1380
1370
1370
1120
1110
1110
1110
1100
719
716
714
712
710
1240
1230
1230
1220
1220
1020
1010
1010
1000
996
685
681
680
678
675
6
7
8
9
10
1660
1660
1650
1640
1640
1200
1200
1200
1190
1190
770
769
767
765
763
1510
1500
1500
1490
1490
1150
1150
1150
1140
1140
740
739
737
735
733
1360
1350
1350
1340
1330
1100
1090
1090
1090
1080
708
706
704
702
700
1210
1200
1200
1190
1180
991
986
981
976
970
673
671
669
666
663
11
12
13
14
15
1630
1620
1620
1610
1600
1190
1190
1180
1180
1170
762
760
758
756
754
1480
1470
1460
1460
1450
1140
1130
1130
1120
1120
731
729
727
724
722
1330
1320
1310
1310
1300
1080
1070
1070
1070
1060
698
695
693
690
688
1180
1170
1160
1150
1150
964
958
952
946
939
661
658
655
652
649
16
17
18
19
20
1590
1590
1580
1570
1560
1170
1170
1160
1160
1150
752
750
748
745
743
1440
1430
1430
1420
1410
1120
1110
1110
1100
1100
720
718
715
713
710
1290
1280
1270
1260
1260
1050
1050
1040
1030
1030
685
682
379
676
673
1140
1130
1120
1110
1100
932
925
918
911
904
646
643
639
636
632
21
22
23
24
25
1550
1550
1540
1530
1520
1150
1150
1140
1140
1130
741
739
736
734
731
1400
1390
1380
1370
1360
1090
1090
1080
1080
1070
707
705
702
699
696
1250
1240
1230
1220
1210
1020
1010
1010
997
990
670
667
664
661
657
1090
1080
1070
1060
1050
896
888
881
872
864
629
625
621
617
613
26
27
28
29
30
1510
1500
1490
1480
1470
1130
1120
1120
1110
1110
729
726
723
721
718
1350
1340
1340
1330
1310
1070
1060
1060
1050
1050
693
690
687
384
681
1200
1190
1180
1170
1160
982
974
965
957
948
654
650
647
643
639
1040
1030
1020
1010
998
856
847
839
830
821
609
605
601
596
592
31
32
33
34
35
1460
1450
1440
1430
1420
1100
1100
1090
1090
1080
715
712
710
707
704
1300
1290
1280
1270
1260
1040
1030
1030
1020
1010
678
674
671
668
664
1150
1140
1120
1110
1100
940
931
922
913
904
636
632
628
624
619
987
976
964
952
940
812
803
793
784
774
587
582
577
572
567
36
37
38
39
40
1410
1400
1390
1380
1370
1080
1070
1060
1060
1050
701
697
694
691
688
1250
1240
1230
1220
1200
1010
1000
994
987
980
661
657
653
649
646
1090
1080
1070
1050
1040
895
885
876
866
856
615
611
606
602
597
928
915
903
890
877
764
754
744
734
724
562
557
551
546
540
56.4
45.9
34.8
51.4
46.4
37.9
28.8
41.4
33.9
25.8
PROPERTIES
Area, In.2
I, In.
4
r, In.
B, Bending Factor
a ÷ 10 6
5030
9.44
0.135
751
4170
9.53
0.132
623
3210
9.60
0.130
479
3820
8.62
0.148
570
41.9
31.8
3190
2460
8.72
0.144
476
8.78
0.142
367
2830
7.81
0.164
423
2370
7.90
0.160
354
1830
2020
7.97
0.157
273
*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
73
6.99
0.184
302
1700
7.08
0.179
254
1320
7.15
0.176
197
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
32 x 24
Nominal Size
Wall Thickness
Weight Per Foot
Effective length KL in feet
Design Wall Thickness
SAW
30 x 24
5/8
1/2
3/8
225.80
183.50
138.95
5/8
217.30
0.625*
0.500*
0.375*
0.625*
0
2
3
4
5
1800
1790
1790
1780
1780
1300
1300
1300
1290
1290
829
826
825
824
822
1780
1770
1770
1760
1760
6
7
8
9
10
1780
1770
1770
1760
1760
1290
1290
1280
1280
1280
821
819
818
816
814
11
12
13
14
15
1750
1750
1740
1730
1730
1270
1270
1270
1260
1260
16
17
18
19
20
1720
1720
1710
1700
1700
21
22
23
24
25
28 x 24
1/2
3/8
176.70
133.84
0.500*
Fy = 50 ksi
x
5/8
208.79
1/2
3/8
169.89
128.74
0.375*
0.625*
0.500*
0.375*
1280
1280
1280
1270
1270
817
825
813
811
810
1750
1740
1740
1740
1730
1260
1260
1260
1250
1250
805
802
801
800
798
1750
1750
1740
1740
1730
1270
1270
1260
1260
1260
809
807
806
804
803
1730
1720
1720
1710
1710
1250
1250
1240
1240
1240
797
795
794
792
790
813
811
809
807
805
1730
1720
1720
1710
1700
1250
1250
1250
1240
1240
801
799
797
795
793
1700
1700
1690
1680
1680
1230
1230
1230
1220
1220
788
787
785
783
781
1260
1250
1250
1250
1240
804
802
800
797
795
1700
1690
1680
1680
1670
1240
1230
1230
1230
1220
792
790
787
785
783
1670
1660
1660
1650
1640
1220
1210
1210
1200
1200
779
777
775
773
771
1690
1680
1680
1670
1660
1240
1230
1230
1230
1220
793
792
789
787
784
1660
1660
1650
1640
1640
1220
1210
1210
1210
1200
781
779
777
774
772
1640
1630
1620
1620
1610
1200
1190
1190
1180
1180
768
766
764
761
759
26
27
28
29
30
1650
1650
1640
1630
1620
1220
1210
1210
1200
1200
782
779
777
774
772
1630
1620
1610
1600
1600
1200
1190
1190
1180
1180
769
767
765
762
759
1600
1590
1580
1580
1570
1180
1170
1170
1160
1160
757
754
752
749
746
31
32
33
34
35
1610
1610
1600
1590
1580
1190
1190
1180
1180
1170
769
767
764
761
758
1590
1580
1570
1560
1550
1170
1170
1160
1160
1150
757
754
751
749
746
1560
1550
1540
1530
1520
1150
1150
1140
1140
1130
744
741
738
735
732
36
37
38
39
40
1570
1560
1550
1540
1540
1170
1160
1160
1150
1150
756
753
750
747
744
1540
1530
1530
1520
1510
1150
1140
1140
1130
1130
743
740
737
734
731
1510
1500
1500
1490
1480
1130
1120
1110
1110
1100
729
726
723
720
717
66.4
53.9
40.8
PROPERTIES
Area, In.2
63.9
51.9
39.3
61.4
49.9
37.8
Ix, In. 4
9880
8160
6250
8480
7010
5380
7210
5970
4580
Iy, In. 4
6390
5280
4050
6050
5000
3840
5710
4730
3630
Ratio rx / ry
1.24
1.24
1.24
1.18
1.18
1.18
1.12
1.12
ry, In.
9.81
9.89
9.96
9.73
9.82
9.88
9.65
9.73
9.79
Bx, Bending Factor
0.108
0.106
0.104
0.113
0.111
0.110
0.119
0.117
0.116
By, Bending Factor
0.125
0.123
0.121
0.127
0.125
0.123
0.129
0.127
1.12
0.125
ax, ÷ 10 6
1480
1220
933
1270
1050
803
1080
892
684
ay, ÷ 10 6
954
788
605
903
747
573
853
706
542
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
74
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
26 x 24
Nominal Size
Wall Thickness
5/8
Weight Per Foot
200.28
Effective length KL in feet
Design Wall Thickness
x
SAW
24 x 22
22 x 20
1/2
3/8
5/8
1/2
3/8
5/8
163.08
123.64
183.27
149.47
113.43
166.25
1/2
135.86
20 x 18
3/8
5/8
1/2
3/8
103.22
149.24
122.25
93.01
0.625*
0.500*
0.375*
0.625
0.500*
0.375*
0.625
Fy = 50 ksi
0.500*
0.375*
0.625
0.500*
0.375*
0
2
3
4
5
1730
1720
1710
1710
1700
1240
1240
1230
1230
1230
792
790
788
787
785
1620
1610
1600
1600
1590
1190
1190
1190
1180
1180
764
761
760
758
757
1470
1460
1450
1450
1440
1140
1140
1130
1130
1130
734
731
729
728
726
1320
1310
1300
1300
1290
1070
1060
1060
1050
1050
702
698
696
695
692
6
7
8
9
10
1700
1690
1690
1680
1680
1230
1220
1220
1220
1210
784
782
781
779
777
1580
1580
1570
1570
1560
1180
1170
1170
1170
1160
755
753
751
750
748
1430
1430
1420
1410
1410
1130
1120
1120
1110
1110
724
722
720
718
716
1280
1280
1270
1260
1260
1040
1040
1030
1030
1020
690
688
683
683
681
11
12
13
14
15
1670
1670
1660
1660
1650
1210
1210
1200
1200
1200
775
774
772
770
768
1550
1540
1540
1530
1520
1160
1160
1150
1150
1150
746
744
742
739
737
1400
1390
1390
1380
1370
1100
1100
1090
1090
1080
713
711
709
706
704
1250
1240
1230
1220
1220
1020
1010
1010
1000
996
678
675
673
670
667
16
17
18
19
20
1640
1640
1630
1620
1620
1190
1190
1190
1180
1180
766
764
762
759
757
1510
1510
1500
1490
1480
1140
1140
1130
1130
1120
735
732
730
728
725
1360
1350
1340
1330
1330
1080
1070
1070
1060
1060
701
698
696
693
690
1210
1200
1190
1180
1170
989
982
975
967
959
664
660
657
654
650
21
22
23
24
25
1610
1600
1590
1590
1580
1170
1170
1170
1160
1160
755
753
750
748
746
1470
1460
1450
1440
1430
1120
1110
1110
1100
1100
723
720
717
715
712
1320
1310
1300
1290
1280
1050
1040
1040
1030
1020
687
684
681
677
674
1160
1150
1140
1130
1120
952
944
935
927
919
647
643
640
636
632
26
27
28
29
30
1570
1560
1550
1550
1540
1150
1150
1140
1140
1130
743
740
738
735
733
1420
1410
1400
1390
1380
1090
1090
1080
1080
1070
709
706
703
700
697
1270
1260
1250
1240
1220
1020
1010
1000
996
989
671
667
664
660
657
1110
1100
1090
1080
1060
910
901
892
883
874
628
624
620
615
611
31
32
33
34
35
1530
1520
1510
1500
1490
1130
1120
1120
1110
1110
730
727
724
721
718
1370
1360
1350
1340
1330
1070
1060
1050
1050
1040
694
690
687
684
680
1210
1200
1190
1180
1170
981
974
966
958
950
653
649
645
641
637
1050
1040
1030
1020
1000
864
855
845
835
825
606
602
597
592
587
36
37
38
39
40
1480
1470
1450
1440
1430
1100
1100
1090
1080
1080
715
712
709
706
703
1320
1310
1290
1280
1270
1030
1030
1020
1010
1010
677
673
370
666
662
1150
1140
1130
1120
1110
941
933
924
916
906
633
629
624
620
616
991
978
965
952
938
815
805
794
784
773
582
577
572
566
561
58.9
47.9
36.3
53.9
PROPERTIES
Area, In.2
43.9
33.3
48.9
39.9
30.3
43.9
35.9
27.3
Ix, In. 4
6060
5020
3860
4680
3900
3000
3530
2950
2280
2590
2180
1690
Iy, In. 4
5370
4450
3420
4110
3420
2630
3060
2560
1970
2210
1850
1440
Ratio rx / ry
1.06
1.06
1.06
1.07
1.07
1.07
1.07
1.07
1.08
1.08
1.09
ry, In.
9.55
9.64
9.70
8.73
8.82
8.89
7.91
8.00
8.07
7.10
7.19
7.25
Bx, Bending Factor
0.126
0.124
0.122
0.138
0.135
0.133
0.152
0.149
0.146
0.169
0.165
0.162
By, Bending Factor
0.132
0.129
0.127
0.144
0.141
0.139
0.160
0.156
0.154
0.179
0.175
1.08
0.171
ax, ÷ 10 6
905
750
576
699
582
448
527
441
340
387
326
252
ay, ÷ 10 6
802
665
511
614
511
393
457
382
294
330
276
215
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
75
HSS / Rectangular
Structural Steel Tubing
Fy=50
y
x
y
Allowable Concentric Loads in Kips
Nominal Size
20 x 16
Wall Thickness
Weight Per Foot
20 x 12
SAW
18 x 12
16 x 12
14 x 12
5/8
1/2
3/8
5/8
5/8
1/2
3/8
5/8
1/2
3/8
140.73
115.45
87.91
123.72
115.21
95.03
72.59
106.71
81.42
62.39
Design Wall Thickness
0.625
0.500*
0.375*
0.625
0.625
0.500
Fy = 50 ksi
0
2
3
4
5
1240
1230
1230
1220
1210
1010
999
995
991
986
683
679
677
675
673
1090
1080
1070
1070
1060
1020
1010
999
992
984
6
7
8
9
10
1210
1200
1190
1180
1180
982
977
972
967
962
670
668
665
662
659
1050
1040
1030
1020
1010
11
12
13
14
15
1170
1160
1150
1140
1130
956
951
944
937
929
656
653
650
647
643
16
17
18
19
20
1120
1110
1100
1090
1080
922
914
906
897
889
21
22
23
24
25
1070
1060
1050
1040
1030
26
27
28
29
30
Effective length KL in feet
x
0.375*
0.625
0.500
0.375
837
828
822
817
811
589
584
581
578
575
942
931
925
918
911
717
709
704
699
694
549
543
539
535
531
977
968
960
950
941
804
798
791
783
776
571
568
564
560
556
904
896
888
879
870
688
682
676
669
662
527
523
518
513
508
1000
990
979
967
956
931
921
910
899
888
768
759
751
742
733
551
546
542
537
532
861
851
841
830
820
655
648
640
632
624
502
497
491
485
479
639
636
632
628
623
943
931
918
904
890
876
864
852
839
826
724
714
704
694
683
526
521
515
509
503
809
797
785
773
761
615
607
598
589
579
473
466
460
453
446
880
872
863
853
844
619
614
609
604
599
876
862
847
832
817
813
799
785
771
756
673
662
651
639
627
497
490
484
477
470
748
735
722
709
695
570
560
550
539
529
438
431
423
416
408
1010
1000
990
978
965
834
825
815
805
794
593
588
582
577
571
801
785
769
752
735
741
726
711
695
679
615
603
591
578
565
462
455
447
439
431
681
666
651
636
621
518
507
496
484
473
400
392
383
375
366
31
32
33
34
35
952
939
925
911
898
784
773
763
752
740
565
559
553
546
540
718
700
682
664
646
662
646
629
611
594
552
539
525
511
497
423
414
405
395
384
605
590
573
557
540
461
449
436
424
411
357
348
339
329
320
36
37
38
39
40
883
869
855
840
825
729
718
706
694
682
533
527
520
513
505
627
607
588
568
547
576
557
539
520
500
482
468
453
438
422
373
362
351
340
328
523
505
488
469
451
398
385
371
357
343
310
300
290
280
269
PROPERTIES
2
Area, In.
41.4
33.9
25.8
36.4
33.9
27.9
21.3
31.4
23.9
18.3
Ix, In. 4
2360
1990
1540
1890
1450
1240
971
1090
678
534
Iy, In. 4
1680
1410
1100
864
783
668
524
702
536
422
Ratio rx / ry
1.19
1.19
1.18
1.48
1.36
1.36
1.36
1.25
1.12
ry, In.
6.37
6.46
6.52
4.87
4.81
4.89
4.95
4.73
4.73
4.80
Bx, Bending Factor
0.175
0.170
0.168
0.193
0.210
0.202
0.197
0.230
0.247
0.240
By, Bending Factor
0.197
0.192
0.188
0.253
0.260
ax, ÷ 10 6
352
297
230
282
217
ay, ÷ 10 6
251
211
164
129
117
0.251
185
99.8
0.244
145
78.2
0.268
163
105
*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.
76
0.268
101
80.0
1.12
0.260
79.7
63.0
HSS / Structural Steel Tubing
NOTES
77
HSS / Round
Structural Steel Tubing
Fy=42
Allowable Concentric Loads in Kips
20.000
Nominal Outside Diameter
Wall Thickness
0.500
Weight Per Foot
104.13
Design Wall Thickness
0.456
18.000
0.375
78.60
0.349
0.500
93.45
0.465
ERW
16.000
0.375
70.59
0.349
0.500
82.77
0.465
0.438
72.80
0.407
14.000
0.375
62.58
0.312
52.28
0.500
72.09
0.349
0.291
0.465
0.375
54.57
0.349
0.312
45.61
0.291
Effective length KL in feet
Fy = 42 ksi
0
2
3
4
5
718
713
710
707
704
542
538
536
534
531
645
640
637
634
631
489
485
483
481
478
572
567
564
561
558
501
497
494
492
489
433
430
427
425
423
363
360
358
356
354
499
494
491
488
484
378
374
372
370
367
315
312
310
308
306
6
7
8
9
10
701
698
695
691
687
529
527
524
521
519
628
625
621
617
614
476
473
471
468
465
554
551
547
544
540
486
483
480
477
473
420
418
415
412
409
352
350
347
345
343
481
477
473
470
465
365
362
359
356
353
304
302
299
297
294
11
12
13
14
15
684
680
676
672
667
516
513
510
507
504
610
606
601
597
593
462
459
456
453
449
535
531
527
522
518
470
466
462
458
454
406
403
399
396
393
340
337
335
332
329
461
457
452
447
442
350
346
343
339
335
291
289
286
283
280
16
17
18
19
20
663
659
654
649
645
500
497
494
490
487
588
583
579
574
569
446
443
439
435
432
513
508
503
498
492
450
446
441
437
432
389
385
382
378
374
326
323
320
316
313
437
432
427
421
415
332
328
324
320
315
277
273
270
267
263
21
22
23
24
25
640
635
630
624
619
483
479
475
472
468
564
558
553
548
542
428
424
420
416
411
487
481
476
470
464
427
422
417
412
407
370
365
361
357
352
310
306
303
299
295
410
404
398
391
385
311
307
302
297
293
260
256
252
248
244
26
27
28
29
30
614
608
603
597
591
464
460
455
451
447
536
531
525
519
513
407
403
398
394
389
458
452
446
439
433
402
397
391
386
380
348
343
339
334
329
292
288
284
280
276
379
372
365
359
352
288
283
278
273
268
240
236
232
228
224
31
32
33
34
35
585
579
573
567
561
442
438
433
429
424
507
500
494
487
481
385
380
375
370
365
426
420
413
406
399
374
369
363
357
350
324
319
314
309
304
272
268
263
259
255
345
337
330
323
315
262
257
252
246
240
219
215
210
206
201
36
37
38
39
40
555
548
542
535
529
420
415
410
405
400
474
467
460
453
446
360
355
350
345
340
392
384
377
370
362
344
338
331
325
318
298
293
287
282
276
250
246
241
236
232
307
299
291
283
275
235
229
223
217
210
196
191
186
181
176
28.5
21.5
25.6
19.4
19.9
17.2
14.4
19.8
15.0
12.5
PROPERTIES
Area, In.2
I, In.
4
r, In.
B, Bending Factor
a ÷ 10 6
1360
6.91
0.210
203
1040
6.95
0.207
155
985
6.20
0.234
147
754
6.24
0.232
113
22.7
685
5.49
0.265
102
78
606
5.51
0.263
90.5
526
5.53
0.262
78.5
443
5.55
0.260
66.2
453
4.79
0.306
67.6
349
4.83
0.301
52.1
295
4.85
0.297
44.1
HSS / Round
Structural Steel Tubing
Fy=42
Allowable Concentric Loads in Kips
Nominal Outside Diameter
Wall Thickness
12.750
0.500
Weight Per Foot
65.42
Design Wall Thickness
ERW
0.465
0.375
49.56
0.349
12.500
0.250
33.38
0.233
0.625
79.27
0.581
0.500
64.08
0.465
0.375
48.56
0.312
40.61
0.250
32.71
0.188
24.72
0.349
0.291
0.233
0.174
Effective length KL in feet
Fy = 42 ksi
0
2
3
4
5
451
446
443
440
436
343
339
337
334
332
231
228
227
225
223
549
543
539
535
531
444
438
435
432
429
335
331
329
327
324
282
279
277
275
273
226
224
222
221
219
170
168
167
166
164
6
7
8
9
10
433
429
425
421
417
329
326
323
320
317
222
220
218
216
214
526
522
517
511
506
425
421
417
413
409
321
319
316
313
309
271
268
266
263
261
217
215
213
211
209
163
162
160
159
157
11
12
13
14
15
412
408
403
398
393
314
310
307
303
299
211
209
207
204
202
500
494
488
482
475
404
400
395
390
385
306
302
299
295
291
258
255
252
249
245
207
204
202
200
197
155
154
152
150
148
16
17
18
19
20
387
382
376
371
365
295
291
287
282
278
199
196
194
191
188
469
462
455
447
440
379
374
368
362
356
287
283
279
274
270
242
239
235
231
228
194
192
189
186
183
146
144
142
140
137
21
22
23
24
25
359
353
346
340
333
273
269
264
259
254
185
182
179
175
172
432
424
416
408
400
350
344
337
331
324
265
261
256
251
246
224
220
216
212
208
180
177
174
170
167
135
133
131
128
126
26
27
28
29
30
326
320
313
305
298
249
244
239
234
228
169
165
162
158
155
391
382
373
364
355
317
310
303
296
289
241
236
231
225
220
204
199
195
190
186
164
160
157
153
149
123
121
118
115
112
31
32
33
34
35
291
283
275
268
260
222
217
211
205
199
151
147
143
139
135
345
336
326
316
305
281
273
265
257
249
214
208
202
196
190
181
176
171
166
161
146
142
138
134
130
110
107
104
101
98
36
37
38
39
40
251
243
235
226
217
193
187
180
174
167
131
127
123
119
114
295
284
273
262
251
241
232
224
215
206
184
178
171
165
158
156
151
145
140
134
126
122
117
113
109
95
92
89
85
82
17.6
13.3
11.2
PROPERTIES
2
Area, In.
I, In.
4
17.9
339
13.6
262
9.16
180
21.8
387
319
246
208
8.98
169
6.74
128
r, In.
4.35
4.39
4.43
4.22
4.26
4.30
4.32
4.34
4.36
B, Bending Factor
0.337
0.331
0.324
0.352
0.345
0.338
0.337
0.332
0.329
a ÷ 10 6
50.6
39.1
26.9
57.8
79
47.6
36.7
31.1
25.2
19.1
HSS / Round
Structural Steel Tubing
Fy=42
Allowable Concentric Loads in Kips
12.313
Nominal Outside Diameter
Wall Thickness
0.625
Weight Per Foot
78.02
Design Wall Thickness
ERW
0.581
0.500
63.08
0.465
0.375
47.81
0.349
12.250
0.312
39.99
0.291
0.250
32.21
0.188
24.35
0.233
0.174
0.625
77.60
0.581
0.500
62.75
0.375
47.56
0.312
39.78
0.250
32.04
0.188
24.22
0.465
0.349
0.291
0.233
0.174
Effective length KL in feet
Fy = 42 ksi
0
2
3
4
5
539
533
529
525
521
436
431
428
425
421
330
326
324
322
319
277
274
272
270
268
223
220
219
217
215
167
165
164
163
162
537
530
526
522
518
433
428
425
422
419
328
324
321
319
317
275
271
270
268
265
222
219
218
216
214
166
164
163
162
161
6
7
8
9
10
516
511
506
501
496
418
414
410
406
401
316
313
310
307
304
266
263
261
258
255
214
212
210
208
205
160
159
158
156
154
514
509
504
499
493
415
411
407
403
399
314
311
308
305
302
263
261
258
256
253
213
211
209
207
204
159
158
157
155
153
11
12
13
14
15
490
484
478
472
465
397
392
387
382
377
301
297
293
290
286
253
250
247
243
240
203
201
198
196
193
153
151
149
147
145
487
481
475
469
462
394
389
384
379
374
298
295
291
287
283
250
247
244
241
238
202
200
197
195
192
152
150
148
146
144
16
17
18
19
20
458
451
444
437
429
371
366
360
354
348
282
278
273
269
264
237
233
230
226
222
191
188
185
182
179
143
141
139
137
135
456
449
441
434
426
369
363
357
352
346
279
275
271
267
262
234
231
227
224
220
189
187
184
181
178
142
140
138
136
134
21
22
23
24
25
421
414
405
397
389
342
336
329
323
316
260
255
250
245
240
219
215
211
207
202
176
173
170
166
163
132
130
128
125
123
419
411
403
394
386
339
333
327
320
313
257
253
248
243
238
216
212
208
204
200
175
172
169
165
162
131
129
127
124
122
26
27
28
29
30
380
371
362
353
344
309
302
295
287
280
235
230
225
219
214
198
194
189
185
180
160
156
153
149
145
120
118
115
112
109
377
368
359
350
341
306
299
292
285
277
233
228
222
217
211
196
191
187
182
178
158
155
151
148
144
119
117
114
111
108
31
32
33
34
35
334
324
314
304
294
272
265
257
248
240
208
202
196
190
184
175
170
166
160
155
141
138
134
130
126
107
104
101
98
95
331
321
311
301
291
270
262
254
246
237
205
200
194
188
182
173
168
163
158
153
140
136
132
128
124
106
103
100
97
94
36
37
38
39
40
283
272
261
250
239
232
223
215
206
197
178
171
165
158
151
150
145
139
134
128
121
117
113
108
104
92
89
85
82
79
280
269
258
247
235
229
220
212
203
194
175
169
162
156
149
148
143
137
132
126
120
116
112
107
103
91
87
84
81
78
21.4
17.3
13.1
11.0
13.0
10.9
8.80
6.60
PROPERTIES
Area, In.2
I, In.
4
r, In.
B, Bending Factor
a ÷ 10 6
369
4.15
0.357
55.1
304
4.19
0.350
45.4
235
4.23
0.343
35.1
199
4.25
0.340
29.7
8.84
161
6.64
122
4.27
0.338
24.0
4.29
0.335
18.2
80
21.3
363
4.13
0.359
54.2
17.2
299
4.17
0.352
44.7
231
4.21
0.345
34.5
196
4.23
0.341
29.3
159
4.25
0.339
23.7
120
4.27
0.337
17.9
HSS / Round
Structural Steel Tubing
Fy=42
Allowable Concentric Loads in Kips
Nominal Outside Diameter
Wall Thickness
70.92
Design Wall Thickness
Effective length KL in feet
11.250
0.625
Weight Per Foot
ERW
0.500
57.41
0.581
0.465
0
2
3
4
5
491
485
481
477
472
6
7
8
9
10
0.375
43.56
10.750
0.312
36.45
0.250
29.37
0.349
0.291
0.233
Fy = 42 ksi
398
393
390
387
383
302
298
296
294
291
252
249
247
245
243
468
463
458
452
447
379
375
371
367
362
288
285
282
279
276
11
12
13
14
15
441
434
428
421
415
358
353
348
342
337
16
17
18
19
20
408
400
393
385
377
21
22
23
24
25
0.188
22.21
0.500
54.74
0.365
40.48
0.250
28.04
0.174
0.465
0.340
0.233
203
200
199
197
196
152
150
149
148
147
378
373
370
366
363
280
276
274
271
269
194
191
190
188
186
240
238
235
233
230
194
192
190
188
185
145
144
142
141
139
359
355
351
346
342
266
263
260
257
253
185
183
180
178
176
272
268
265
261
256
227
224
221
217
214
183
181
178
175
173
137
136
134
132
130
337
332
327
321
316
250
246
242
238
234
174
171
168
166
163
331
325
319
313
307
252
248
243
239
234
210
207
203
199
196
170
167
164
161
158
128
126
123
121
119
310
304
298
292
285
230
226
221
217
212
160
157
154
151
148
369
361
352
343
335
300
294
287
280
273
229
224
219
214
209
192
187
183
179
175
155
151
148
145
141
116
114
111
109
106
279
272
265
258
251
207
202
197
192
187
145
141
138
134
131
26
27
28
29
30
325
316
307
297
287
266
258
251
243
235
203
198
192
186
180
170
165
161
156
151
138
134
130
126
122
104
101
98
95
92
243
236
228
220
212
182
176
170
165
159
127
123
119
115
111
31
32
33
34
35
277
266
256
245
234
227
219
210
202
193
174
168
162
155
149
146
141
136
130
125
118
114
110
106
102
89
86
83
80
77
203
195
186
177
168
153
146
140
134
127
107
103
99
94
90
36
37
38
39
40
223
211
200
190
181
184
175
166
157
149
142
135
128
122
116
120
114
108
103
98
97
93
88
84
79
74
70
67
63
60
159
151
143
136
129
120
114
108
102
97
85
81
77
73
69
19.5
15.8
12.0
8.06
6.05
15.0
11.1
7.70
PROPERTIES
Area, In.2
I, In.
4
278
229
178
10.0
151
122
92.9
199
151
106
r, In.
3.78
3.82
3.86
3.88
3.90
3.92
3.64
3.68
3.72
B, Bending Factor
0.395
0.388
0.379
0.373
0.373
0.366
0.405
0.395
0.390
a ÷ 10 6
41.5
34.2
26.6
22.5
81
18.2
13.9
29.7
22.5
15.8
HSS / Round
Structural Steel Tubing
Fy=42
Allowable Concentric Loads in Kips
10.000
Nominal Outside Diameter
Wall Thickness
0.625
Weight Per Foot
62.58
Effective length KL in feet
Design Wall Thickness
ERW
0.500
50.73
0.375
38.55
9.625
0.312
32.28
0.250
26.03
0.581
0.465
0.349
0.291
0.233
0
2
3
4
5
433
427
423
419
414
350
345
342
338
335
267
263
261
258
255
224
220
218
216
214
180
177
176
174
172
6
7
8
9
10
409
404
399
393
387
331
327
323
318
313
253
250
246
243
239
212
209
206
204
201
11
12
13
14
15
381
374
367
360
353
308
303
298
292
286
236
232
228
223
219
16
17
18
19
20
346
338
330
322
313
281
274
268
262
255
21
22
23
24
25
305
296
287
277
268
26
27
28
29
30
0.188
19.70
0.174
Fy = 42 ksi
0.500
48.73
0.375
37.05
0.312
31.03
0.250
25.03
0.188
18.95
0.465
0.349
0.291
0.233
0.174
135
133
132
131
130
338
332
329
326
322
257
253
251
248
245
215
212
210
208
205
173
170
169
167
165
130
128
127
126
124
171
168
166
164
162
128
127
125
123
122
318
314
310
305
300
242
239
236
232
229
203
200
197
195
192
163
161
159
157
154
123
121
120
118
116
198
194
191
187
184
159
157
154
151
148
120
118
116
114
112
295
290
284
278
272
225
221
217
213
208
188
185
182
178
174
152
149
147
144
141
114
112
110
108
106
215
210
205
200
195
180
176
172
168
164
145
142
139
136
133
109
107
105
102
100
266
260
254
247
240
204
199
194
189
184
171
167
163
159
154
138
135
131
128
125
104
102
99
97
94
248
241
234
226
219
190
185
179
174
168
160
155
151
146
142
129
126
122
118
115
97
95
92
89
86
233
226
218
211
203
179
173
168
162
156
150
146
141
136
131
121
118
114
110
106
92
89
86
83
81
258
248
238
227
217
211
203
195
187
178
162
156
150
144
138
137
132
127
121
116
111
107
103
99
94
84
81
78
75
71
195
187
178
170
161
150
144
138
131
125
126
121
116
111
105
102
98
94
90
86
78
75
71
68
65
31
32
33
34
35
205
194
183
172
162
169
160
151
142
134
131
124
117
111
104
111
105
99
94
88
90
86
81
76
72
68
65
61
58
55
152
142
134
126
119
118
111
104
98
93
100
94
88
83
79
81
77
72
68
64
62
58
55
52
49
36
37
38
39
40
154
145
138
131
124
127
120
114
108
103
99
93
89
84
80
84
79
75
71
68
68
64
61
58
55
52
49
46
44
42
113
107
101
96
91
88
83
79
75
71
74
70
67
63
60
61
57
54
52
49
46
44
41
39
37
17.2
13.9
10.6
8.88
5.37
13.4
10.2
8.53
6.87
5.17
PROPERTIES
Area, In.2
I, In.
4
r, In.
B, Bending Factor
a ÷ 10 6
191
3.34
0.450
28.5
159
3.38
0.437
23.7
123
3.41
0.431
18.4
105
3.43
0.423
15.7
7.15
85.3
64.8
3.45
3.47
0.419
0.414
12.7
82
9.68
141
3.24
0.457
21.1
110
3.28
0.446
16.4
93.0
3.30
0.441
13.9
75.9
57.7
3.32
3.34
0.436
0.431
11.3
8.62
HSS / Round
Structural Steel Tubing
Fy=42
Allowable Concentric Loads in Kips
8.750
Nominal Outside Diameter
Wall Thickness
0.500
Weight Per Foot
44.06
Design Wall Thickness
0.465
0.375
33.54
0.349
0.312
28.12
0.291
ERW
8.625
0.250
22.70
0.233
0.188
17.19
0.174
0.500
43.39
0.465
0.375
33.04
0.349
0.322
28.55
7.625
0.250
22.36
0.188
16.94
0.375
29.04
0.328
25.56
0.300
0.233
0.174
0.349
0.305
0.125
10.01
0.166
Effective length KL in feet
Fy = 42 ksi
0
2
3
4
5
305
299
296
293
289
232
228
226
223
220
195
191
189
187
185
157
154
153
151
149
118
116
115
114
112
300
294
291
288
284
229
224
222
219
217
198
194
192
190
188
155
152
150
149
147
116
114
113
112
110
201
197
194
192
189
177
173
171
168
166
69
68
67
66
65
6
7
8
9
10
285
281
276
271
266
217
214
210
207
203
182
180
177
174
171
147
145
143
140
138
111
109
107
106
104
280
275
271
266
261
214
210
207
203
199
185
182
179
176
173
145
143
140
138
135
109
107
106
104
102
186
182
179
175
171
163
160
157
154
150
64
63
62
60
59
11
12
13
14
15
261
255
249
243
237
199
195
191
186
182
167
164
160
157
153
135
132
129
126
123
102
100
98
95
93
256
250
244
238
232
195
191
187
182
178
169
166
162
158
154
133
130
127
124
121
100
98
96
94
91
166
162
157
153
148
146
143
138
134
130
58
56
55
53
51
16
17
18
19
20
231
224
217
210
203
177
172
167
161
156
149
145
140
136
132
120
117
114
110
107
91
88
86
83
81
226
219
212
205
198
173
168
163
158
152
150
146
142
137
132
118
115
111
108
104
89
86
84
81
79
143
137
132
126
120
126
121
116
111
106
50
48
46
44
43
21
22
23
24
25
196
188
180
172
164
151
145
139
133
127
127
122
117
112
107
103
99
95
91
87
78
75
72
69
66
190
183
175
166
158
147
141
135
129
123
128
123
118
112
107
100
97
93
89
84
76
73
70
67
64
114
108
102
95
88
101
95
90
84
78
41
39
36
34
32
26
27
28
29
30
155
146
137
128
120
120
114
107
100
94
102
97
91
85
80
83
79
74
70
65
63
60
56
53
50
149
141
131
123
115
116
110
103
96
90
102
96
90
84
79
80
76
71
67
62
61
58
54
51
48
81
76
70
65
61
72
67
62
58
54
30
28
26
24
22
31
32
33
34
35
112
105
99
93
88
88
82
77
73
69
75
70
66
62
59
61
57
54
51
48
46
44
41
39
36
107
101
95
89
84
84
79
74
70
66
74
69
65
61
58
58
55
52
49
46
45
42
39
37
35
57
54
51
48
45
51
48
45
42
40
21
20
18
17
16
36
37
38
39
40
83
79
75
71
67
65
62
58
55
53
55
52
50
47
45
45
43
41
38
37
34
33
31
29
28
80
75
71
68
64
62
59
56
53
50
55
52
49
47
44
43
41
39
37
35
33
31
30
28
27
43
40
38
36
34
38
36
34
32
30
16
15
14
13
13
9.21
7.73
6.23
4.69
9.07
7.85
6.14
4.62
7.98
7.01
2.74
PROPERTIES
Area, In.2
I, In.
4
r, In.
B, Bending Factor
a ÷ 10 6
12.1
104.0
2.93
0.509
15.5
81.4
2.97
0.495
12.2
69.3
56.6
43.1
2.99
3.01
3.03
0.488
0.482
0.476
8.45
6.44
10.3
11.9
99.5
2.89
0.516
14.9
83
77.8
2.93
0.503
11.6
68.1
54.1
41.3
52.9
47.1
19.3
2.95
2.97
2.99
2.58
2.59
2.66
0.497
0.489
0.482
0.575
0.567
0.541
8.08
6.17
7.90
7.03
2.88
10.2
HSS / Round
Structural Steel Tubing
Fy=42
Allowable Concentric Loads in Kips
7.500
Nominal Outside Diameter
Wall Thickness
0.500
Weight Per Foot
37.38
Effective length KL in feet
Design Wall Thickness
ERW
0.375
28.54
0.465
0.349
0
2
3
4
5
260
254
251
247
243
6
7
8
9
10
0.312
23.95
7.000
0.250
19.36
0.188
14.68
0.291
0.233
0.174
198
193
191
188
185
166
163
161
158
156
134
131
130
128
126
101
99
97
96
95
239
234
229
224
218
182
178
175
171
167
153
150
147
144
141
124
121
119
116
114
11
12
13
14
15
213
207
200
194
187
163
158
153
149
144
137
133
129
125
121
16
17
18
19
20
180
173
165
158
150
138
133
127
122
116
21
22
23
24
25
141
133
124
115
106
26
27
28
29
30
0.500
34.71
0.465
Fy = 42 ksi
0.375
26.53
0.312
22.29
0.349
0.291
241
235
232
228
224
184
179
177
174
171
93
91
90
88
86
219
215
210
204
199
111
108
105
102
98
84
81
79
77
74
117
112
108
103
98
95
91
88
84
80
110
103
97
90
83
93
88
82
77
71
98
91
84
79
74
77
71
66
62
58
31
32
33
34
35
69
65
61
57
54
36
37
38
39
40
0.250
18.02
0.188
13.68
0.125
9.18
0.233
0.174
0.116
154
151
149
146
144
125
122
120
118
116
94
92
91
89
88
63
62
61
60
59
168
164
160
156
152
141
138
135
132
128
114
112
109
107
104
86
84
82
80
78
58
57
56
54
53
193
186
180
173
166
148
143
138
133
128
125
121
117
113
108
101
98
95
91
88
76
74
72
69
66
51
50
48
47
45
72
69
66
63
61
159
152
144
136
127
123
117
111
105
99
104
99
94
89
84
84
81
77
73
69
64
61
58
55
52
43
41
39
38
35
76
72
67
63
58
58
54
51
48
45
119
110
101
93
85
92
86
79
72
67
79
73
67
62
57
64
60
55
51
47
49
46
42
39
36
33
31
29
27
25
66
61
57
53
49
54
50
46
43
40
41
38
35
33
31
79
73
68
63
59
62
57
53
50
46
53
49
46
42
40
43
40
37
35
33
33
31
29
27
25
23
21
20
18
17
54
51
48
45
42
46
43
41
38
36
38
36
33
32
30
29
27
26
24
23
55
52
49
46
44
43
41
38
36
34
37
35
33
31
29
31
29
27
25
24
23
22
21
19
18
16
15
14
13
13
51
48
46
44
41
40
38
36
34
33
34
32
31
29
28
28
27
25
24
23
21
20
19
18
17
41
39
37
====
32
30
29
27
====
28
26
25
23
====
23
21
20
19
====
17
16
16
15
14
12
11
11
10
10
10.3
7.84
6.59
5.32
9.55
7.29
6.13
4.95
3.73
2.51
PROPERTIES
Area, In.2
I, In.
4
63.9
50.2
r, In.
2.49
2.53
B, Bending Factor
0.604
0.586
a ÷ 10 6
9.54
7.50
42.9
2.55
35.2
4.00
26.9
51.2
40.4
34.6
28.4
21.7
14.9
2.57
2.59
2.32
2.35
2.37
2.39
2.41
2.43
0.576
0.567
0.558
0.653
0.632
0.620
0.610
0.602
0.590
6.41
5.26
4.02
7.65
6.03
5.17
4.24
3.24
2.23
Note: Double Horizontal Line indicates k l/r limit of 200.
84
HSS / Round
Structural Steel Tubing
Fy=42
Allowable Concentric Loads in Kips
Nominal Outside Diameter
Wall Thickness
34.04
Design Wall Thickness
Effective length KL in feet
6.875
0.500
Weight Per Foot
ERW
0.375
26.03
0.312
21.87
6.625
0.250
17.69
0.188
13.43
0.500
32.71
0.465
0.349
0.291
0.233
0.174
0.465
0
2
3
4
5
236
230
227
223
219
180
176
174
171
168
152
148
146
144
141
122
120
118
116
114
92
90
89
87
86
227
221
218
214
210
6
7
8
9
10
214
210
204
199
193
164
161
157
153
149
138
135
132
129
125
112
109
107
104
101
84
83
81
79
77
11
12
13
14
15
187
181
175
168
161
144
140
135
130
124
122
118
114
109
105
98
95
92
89
85
16
17
18
19
20
153
146
138
130
121
119
113
107
101
95
101
96
91
86
81
21
22
23
24
25
112
103
95
87
80
88
82
75
69
63
26
27
28
29
30
74
69
64
59
56
31
32
33
34
35
36
37
38
39
40
0.432
28.57
0.403
Fy = 42 ksi
0.375
25.03
0.312
21.04
0.280
18.97
0.250
17.02
0.188
12.92
0.125
8.68
0.349
0.291
0.261
0.233
0.174
0.116
199
194
191
187
184
173
169
167
164
161
146
142
140
138
135
132
128
126
124
122
118
115
113
111
109
89
87
86
84
83
60
58
57
57
55
205
200
195
189
184
180
176
171
166
161
157
153
150
145
141
132
129
126
123
119
119
117
114
111
108
107
105
102
99
97
81
79
77
75
73
54
53
52
51
49
74
72
70
67
65
177
171
164
157
150
156
150
145
139
132
137
132
127
122
116
115
111
107
103
98
104
101
97
93
89
94
90
87
84
80
71
68
66
63
61
48
46
44
43
41
82
78
74
70
66
62
59
56
53
50
143
135
127
118
110
126
119
112
105
97
111
105
99
93
86
94
89
84
79
74
85
81
76
72
67
76
73
69
64
60
58
55
52
49
46
39
37
35
33
31
75
70
64
59
54
62
57
53
48
45
47
44
40
37
34
101
92
84
77
71
90
82
75
69
63
80
73
66
61
56
68
62
57
52
48
62
57
52
48
44
56
51
47
43
40
43
39
36
33
30
29
27
25
23
21
59
54
51
47
44
50
46
43
40
38
41
38
36
33
31
32
29
27
25
24
66
61
57
53
49
59
54
50
47
44
52
48
45
42
39
45
41
38
36
33
41
38
35
33
30
37
34
32
29
28
28
26
24
23
21
19
18
17
15
14
52
49
46
43
41
41
39
36
34
32
35
33
31
29
28
29
27
26
24
23
22
21
20
18
17
46
43
41
38
36
41
39
36
34
32
37
34
32
30
29
31
29
28
26
25
29
27
25
24
22
26
24
23
21
20
20
19
17
16
16
14
13
12
11
11
39
37
====
31
29
27
====
26
25
23
====
21
20
19
18
====
16
16
15
14
====
34
====
31
====
27
26
====
23
22
====
21
20
====
19
18
====
15
14
13
====
10
9
9
====
9.36
7.16
6.02
4.86
3.66
7.88
6.88
5.79
5.22
4.68
3.53
2.37
PROPERTIES
Area, In.2
I, In.
4
48.3
38.2
32.7
26.8
20.6
9.00
42.9
38.3
34.0
29.1
26.5
23.9
18.4
12.6
r, In.
2.27
2.31
2.33
2.35
2.37
2.18
2.20
2.22
2.24
2.25
2.26
2.28
2.30
B, Bending Factor
0.666
0.644
0.633
0.623
0.611
0.695
0.682
0.670
0.659
0.653
0.649
0.635
0.623
a ÷ 10 6
7.21
5.70
4.88
4.00
3.08
6.41
5.72
5.08
4.35
3.96
3.57
2.75
1.88
Note: Double Horizontal Line indicates k l/r limit of 200.
85
HSS / Round
Structural Steel Tubing
Fy=42
Allowable Concentric Loads in Kips
6.125
Nominal Outside Diameter
Wall Thickness
0.500
Weight Per Foot
30.04
Effective length KL in feet
Design Wall Thickness
ERW
0.375
23.03
0.312
19.37
6.000
0.250
15.69
0.188
11.92
0.500
29.37
0.465
0.349
0.291
0.233
0.174
0
2
3
4
5
208
203
199
195
191
160
155
153
150
146
134
131
129
126
123
109
106
104
102
100
82
80
78
77
75
204
198
195
191
186
6
7
8
9
10
186
181
176
170
164
143
139
135
131
126
121
117
114
111
107
98
95
92
90
87
74
72
70
68
65
11
12
13
14
15
158
151
144
137
129
122
117
112
106
101
103
99
95
90
85
83
80
77
73
69
16
17
18
19
20
121
113
105
96
87
95
89
82
76
69
81
76
70
65
59
21
22
23
24
25
79
72
65
60
55
63
57
52
48
44
26
27
28
29
30
51
48
44
41
38
31
32
33
34
35
0.375
22.53
0.280
17.11
0.250
15.35
0.188
11.67
0.125
7.84
0.291
0.261
0.233
0.174
0.116
156
152
149
146
143
132
128
126
123
121
119
115
113
111
109
106
103
102
100
98
80
78
77
75
74
54
53
52
51
50
181
176
171
165
159
139
136
132
127
123
118
114
111
107
104
106
103
100
97
94
95
93
90
87
84
72
70
68
66
64
48
47
46
44
43
63
61
58
55
53
152
146
139
131
123
118
113
108
102
96
100
96
91
87
82
90
86
83
78
74
81
78
74
71
67
61
59
56
54
51
41
40
38
36
34
65
61
57
53
48
50
47
44
40
37
115
107
98
89
81
90
84
78
71
64
77
72
66
61
55
70
65
60
55
50
63
59
55
50
46
48
45
42
38
35
32
30
28
26
24
54
49
45
41
38
44
40
37
34
31
34
31
28
26
24
73
67
61
56
52
58
53
49
45
41
50
46
42
38
35
46
42
38
35
32
41
38
34
32
29
32
29
26
24
22
22
20
18
17
15
41
38
35
33
31
35
32
30
28
26
29
27
25
23
21
22
20
19
18
17
48
44
41
38
36
38
35
33
31
29
33
30
28
26
25
30
28
26
24
22
27
25
23
22
20
21
19
18
17
16
14
13
12
11
11
36
34
32
====
29
27
25
24
====
25
23
22
20
====
20
19
18
17
====
34
31
====
27
25
24
====
23
22
20
====
21
20
18
====
19
18
17
16
====
15
14
13
12
====
10
9
9
8
====
8.27
6.33
5.33
4.31
6.20
5.22
4.71
4.22
3.18
2.14
15
15
14
13
12
====
0.465
0.349
Fy = 42 ksi
0.312
18.95
36
37
38
39
40
PROPERTIES
Area, In.2
I, In.
4
33.3
26.5
22.7
18.7
3.25
8.09
14.4
31.2
24.8
21.3
19.4
17.6
13.5
9.28
r, In.
2.01
2.05
2.07
2.08
2.10
1.96
2.00
2.02
2.03
2.04
2.06
2.08
B, Bending Factor
0.761
0.732
0.719
0.706
0.691
0.778
0.750
0.735
0.728
0.719
0.707
0.692
a ÷ 10 6
4.97
3.96
3.39
2.79
2.15
4.66
3.70
3.18
2.90
2.63
2.02
1.39
Note: Double Horizontal Line indicates k l/r limit of 200.
86
HSS / Round
Structural Steel Tubing
Fy=42
Allowable Concentric Loads in Kips
Nominal Outside Diameter
Wall Thickness
20.78
Design Wall Thickness
Effective length KL in feet
5.563
0.375
Weight Per Foot
ERW
0.258
14.62
5.500
0.188
0.134
10.79
0.349
0.241
0.174
0
2
3
4
5
144
140
137
134
131
102
99
97
95
92
6
7
8
9
10
127
123
119
114
110
11
12
13
14
15
7.77
0.500
26.70
0.375
20.53
0.258
14.44
0.125
Fy = 42 ksi
0.465
0.349
0.241
74
72
71
69
68
54
52
51
50
49
185
180
176
172
167
142
138
135
132
129
100
97
95
93
91
90
87
84
81
78
66
64
62
60
57
48
46
45
43
42
162
157
151
145
139
125
121
117
112
108
88
86
83
80
76
105
99
94
88
82
74
71
67
63
59
55
52
50
47
44
40
38
36
34
32
132
125
118
110
102
103
97
92
86
80
73
69
66
62
58
16
17
18
19
20
76
69
63
56
51
55
50
46
41
37
41
38
34
31
28
30
28
25
23
20
93
84
75
68
61
74
67
61
54
49
53
49
44
40
36
21
22
23
24
25
46
42
38
35
32
33
31
28
26
24
25
23
21
19
18
19
17
15
14
13
55
51
46
42
39
44
41
37
34
31
32
30
27
25
23
26
27
28
29
30
30
28
26
24
23
====
22
20
19
18
16
17
15
14
13
12
12
11
10
10
9
36
34
31
29
====
29
27
25
23
22
====
21
20
18
17
16
15
====
12
====
9
8
====
31
32
33
34
35
15
====
36
37
38
39
40
PROPERTIES
Area, In.2
I, In.
4
5.72
19.5
r, In.
1.85
B, Bending Factor
0.816
a ÷ 10 6
2.91
4.03
14.3
1.88
2.95
2.14
10.7
7.90
7.36
23.5
5.65
18.8
3.98
13.8
1.91
1.92
1.79
1.83
1.86
0.784
0.767
0.753
0.861
0.826
0.793
2.14
1.60
1.18
3.51
2.81
2.06
Note: Double Horizontal Line indicates k l/r limit of 200.
87
HSS / Round
Structural Steel Tubing
Fy=42
Allowable Concentric Loads in Kips
5.000
Nominal Outside Diameter
Wall Thickness
0.500
Weight Per Foot
24.03
Design Wall Thickness
ERW
0.465
0.375
18.52
0.349
0.312
15.62
0.291
0.258
13.07
0.241
4.500
0.250
12.68
0.233
0.188
0.125
9.66
6.51
0.337
0.174
0.116
0.315
14.98
0.237
10.79
0.221
0.188
0.125
8.66
5.84
0.174
0.116
Effective length KL in feet
Fy = 42 ksi
0
2
3
4
5
167
161
157
153
148
129
124
121
118
115
108
105
102
100
97
91
88
86
83
81
88
85
83
81
79
67
64
63
61
60
45
43
42
41
40
104
100
98
95
91
75
72
70
68
66
59
57
56
54
52
40
39
38
37
36
6
7
8
9
10
143
137
131
125
118
111
107
102
97
92
94
90
86
83
78
78
76
73
69
66
76
73
70
67
64
58
56
53
51
49
39
38
36
35
33
88
84
79
75
70
63
60
57
54
51
50
48
46
43
41
34
33
31
30
28
11
12
13
14
15
111
104
96
87
79
87
81
76
69
63
74
69
65
59
54
62
58
54
50
46
61
57
53
49
45
46
43
41
38
34
31
30
28
26
24
65
60
54
48
42
47
44
40
36
31
38
35
32
29
25
26
24
22
20
18
16
17
18
19
20
70
62
55
49
44
56
50
44
40
36
49
43
38
34
31
41
36
33
29
26
40
36
32
29
26
31
28
25
22
20
21
19
17
15
14
37
33
29
26
24
27
24
22
19
18
22
20
18
16
14
16
14
12
11
10
21
22
23
24
25
40
37
34
31
28
33
30
27
25
23
28
26
24
22
20
24
22
20
18
17
23
21
20
18
17
18
17
15
14
13
13
11
10
10
9
21
19
18
16
====
16
15
13
12
11
====
13
12
11
10
9
====
9
8
8
7
6
====
26
27
28
29
30
26
====
21
20
====
18
17
====
16
14
13
====
15
14
13
====
12
11
10
====
8
8
7
====
4.30
3.60
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
I, In.
4
6.62
17.2
5.10
13.9
12.0
10.2
3.49
2.64
1.78
4.14
2.97
2.36
1.60
9.94
7.69
5.31
9.12
6.82
5.54
3.84
r, In.
1.61
1.65
1.67
1.68
1.69
1.71
1.73
1.48
1.51
1.53
1.55
B, Bending Factor
0.962
0.917
0.896
0.882
0.878
0.858
0.838
1.02
0.98
0.958
0.938
a ÷ 10 6
2.57
2.08
1.79
1.52
1.48
1.15
0.793
1.36
1.02
0.827
0.573
Note: Double Horizontal Line indicates k l/r limit of 200.
88
HSS / Round
Structural Steel Tubing
Fy=42
Allowable Concentric Loads in Kips
Nominal Outside Diameter
Wall Thickness
4.000
0.337
Weight Per Foot
13.18
Design Wall Thickness
ERW
0.315
0.313
12.33
0.291
0.250
10.01
0.233
0.237
0.226
0.220
0.188
0.125
9.52
9.11
8.88
7.65
5.17
0.211
0.205
0.174
0.116
0.221
Effective length KL in feet
Fy = 42 ksi
0
2
3
4
5
92
88
85
82
78
85
82
79
76
73
70
66
64
62
59
66
63
61
59
57
63
60
59
56
54
61
59
57
55
53
53
50
49
47
45
36
34
33
32
31
6
7
8
9
10
74
70
66
61
56
69
65
61
57
52
57
53
50
47
43
54
51
48
44
41
52
49
46
43
39
50
47
45
41
38
43
41
38
36
33
29
28
26
24
23
11
12
13
14
15
50
45
38
33
29
47
42
36
31
27
39
35
30
26
23
37
33
29
25
22
36
32
28
24
21
35
31
27
23
20
30
27
23
20
18
21
19
16
14
12
16
17
18
19
20
25
22
20
18
16
24
21
19
17
15
20
18
16
14
13
19
17
15
14
12
18
16
14
13
12
18
16
14
13
11
15
14
12
11
10
11
10
9
8
7
21
22
23
24
25
15
====
14
13
====
11
10
====
11
10
====
11
10
====
10
9
====
9
8
====
6
6
====
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
I, In.
4
3.65
3.39
2.76
2.62
2.51
2.44
2.09
1.42
6.24
5.87
4.91
4.70
4.52
4.41
3.83
2.67
r, In.
1.31
1.32
1.33
1.34
1.34
1.34
1.35
1.37
B, Bending Factor
1.17
1.16
1.12
1.11
1.11
1.11
1.09
1.06
a ÷ 10 6
0.932
0.877
0.733
0.702
0.675
0.659
0.572
0.339
Note: Double Horizontal Line indicates k l/r limit of 200.
89
HSS / Round
Structural Steel Tubing
Fy=42
Allowable Concentric Loads in Kips
Nominal Outside Diameter
Wall Thickness
10.65
Design Wall Thickness
Effective length KL in feet
3.500
0.313
Weight Per Foot
ERW
0.300
10.25
0.250
0.216
0.203
0.188
0.125
8.68
7.58
7.15
6.65
4.51
0.291
0.280
0.233
0.201
Fy = 42 ksi
0.189
0.174
0.116
0
2
3
4
5
74
70
67
64
61
71
67
65
62
59
60
57
55
52
50
52
50
48
46
43
50
47
45
43
41
46
43
42
40
38
31
29
28
27
26
6
7
8
9
10
57
53
48
43
38
55
51
47
42
37
47
43
40
36
32
41
38
35
32
28
39
36
33
30
27
36
33
31
28
25
24
23
21
19
17
11
12
13
14
15
33
27
23
20
18
32
26
23
19
17
27
23
20
17
15
24
21
17
15
13
23
19
17
14
12
22
18
16
13
12
15
13
11
9
8
16
17
18
19
20
15
14
12
11
====
15
13
12
11
====
13
12
10
9
====
12
10
9
8
====
11
10
9
8
====
10
9
8
7
====
7
6
6
5
5
====
2.93
2.83
2.39
2.08
1.97
1.82
1.23
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
3.81
3.70
3.21
2.84
2.70
2.52
1.77
r, In.
1.14
1.14
1.16
1.17
1.17
1.18
1.20
B, Bending Factor
1.35
1.34
1.30
1.28
1.28
1.26
1.22
a ÷ 10 6
0.569
0.553
0.479
0.424
0.403
0.376
0.264
I, In.
4
Note: Double Horizontal Line indicates k l/r limit of 200.
90
HSS / Round
Structural Steel Tubing
Fy=42
Allowable Concentric Loads in Kips
ERW
3.000
Nominal Outside Diameter
2.875
0.300
0.250
0.216
0.203
0.188
0.152
0.134
0.120
0.250
0.203
0.188
0.125
Weight Per Foot
8.65
7.34
6.42
6.06
5.65
4.62
4.10
3.69
7.01
5.79
5.40
3.67
Design Wall Thickness
0.280
0.233
0.201
0.189
0.174
0.142
0.125
Fy = 42 ksi
0.112
0.233
0.189
0.174
0.116
0
2
3
4
5
60
56
53
50
47
51
48
46
43
40
45
42
40
37
35
42
39
38
35
33
39
36
35
33
30
32
30
29
27
25
28
27
25
24
23
26
24
23
22
20
49
45
43
40
37
40
37
35
33
31
37
35
33
31
29
25
24
23
21
20
6
7
8
9
10
43
38
34
28
23
37
33
29
25
20
32
29
26
22
18
30
27
24
21
17
28
25
22
19
16
23
21
19
16
13
21
19
17
15
12
19
17
15
13
11
34
30
26
22
18
28
25
22
18
15
26
24
21
17
14
18
16
14
12
10
11
12
13
14
15
19
16
14
12
10
17
14
12
10
9
15
13
11
9
8
14
12
10
9
8
13
11
9
8
7
11
9
8
7
6
10
8
7
6
5
9
8
7
6
5
15
12
10
9
8
====
12
10
9
8
7
====
12
10
8
7
6
====
8
7
6
5
4
16
17
18
19
20
9
====
8
====
7
====
7
====
6
====
5
====
5
4
====
4
4
====
Effective length KL in feet
Wall Thickness
4
====
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
2.39
2.03
1.77
1.67
1.54
1.27
1.13
1.02
1.93
1.59
1.48
1.01
2.24
1.95
1.74
1.66
1.55
1.30
1.17
1.06
1.70
1.45
1.35
0.958
r, In.
0.967
0.982
0.992
0.996
1.00
1.01
1.02
1.02
0.938
0.952
0.957
0.976
B, Bending Factor
1.60
1.56
1.53
1.51
1.49
1.47
1.45
1.44
1.63
1.58
1.58
1.52
a ÷ 10 6
0.335
0.291
0.260
0.248
0.231
0.194
0.175
0.158
0.254
0.217
0.202
0.143
I, In.
4
Note: Double Horizontal Line indicates k l/r limit of 200.
91
HSS / Round
Structural Steel Tubing
Fy=42
Allowable Concentric Loads in Kips
Nominal Outside Diameter
2.500
ERW
2.375
1.900
1.660
0.250
0.188
0.125
0.250
0.218
0.188
0.154
0.125
0.145
0.140
Weight Per Foot
6.01
4.64
3.17
5.67
5.02
4.39
3.65
3.00
2.72
2.27
Design Wall Thickness
0.233
0.174
0.116
0.233
0.204
0.174
Fy = 42 ksi
0.143
0.116
0.135
0.130
0
2
3
4
5
42
38
36
33
30
32
29
28
25
23
22
20
19
18
16
40
36
33
30
27
35
32
30
27
24
30
28
26
24
21
25
23
21
20
18
21
19
18
16
15
19
17
15
13
11
16
13
12
10
8
6
7
8
9
10
26
22
17
14
11
20
17
14
11
9
14
12
10
8
6
23
19
15
12
9
21
17
13
11
9
18
15
12
9
8
15
13
10
8
6
13
11
9
7
5
8
6
5
4
3
====
5
4
3
2
====
11
12
13
14
15
9
8
7
====
7
6
5
====
5
4
4
3
====
8
7
====
7
6
====
6
5
4
====
5
5
4
====
4
4
3
====
1.66
1.27
0.87
1.57
1.39
1.20
1.00
0.82
0.75
0.62
Effective length KL in feet
Wall Thickness
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
I, In.
4
1.08
0.865
0.619
0.910
0.827
0.733
0.627
0.527
0.293
0.184
r, In.
0.806
0.825
0.844
0.762
0.771
0.781
0.791
0.800
0.626
0.543
B, Bending Factor
1.92
1.84
1.76
2.05
2.00
1.94
1.89
1.85
2.43
2.80
a ÷ 10 6
0.161
0.129
0.092
0.136
0.123
0.109
0.094
0.079
0.044
0.027
Note: Double Horizontal Line indicates k l/r limit of 200.
92
HSS / Round
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
20.000
Nominal Outside Diameter
Wall Thickness
0.500
Weight Per Foot
104.13
Effective length KL in feet
Design Wall Thickness
18.000
0.375
78.60
0.500
93.45
ERW
16.000
0.375
70.59
0.500
82.77
0.438
72.80
0.465
0.349
0.465
0.349
0.465
0.407
Fy = 46 ksi
0
2
3
4
5
787
781
778
774
771
593
589
587
584
582
707
701
697
694
690
535
531
529
526
523
627
621
617
614
610
549
544
541
538
535
6
7
8
9
10
767
763
759
755
751
579
576
573
570
567
687
683
679
674
670
521
518
514
511
508
606
602
598
593
589
11
12
13
14
15
747
742
737
733
728
563
560
557
553
549
665
661
656
651
646
505
501
497
494
490
16
17
18
19
20
723
717
712
707
701
545
542
538
533
529
640
635
629
624
618
21
22
23
24
25
695
689
683
677
671
525
521
516
512
507
26
27
28
29
30
665
659
652
645
639
31
32
33
34
35
36
37
38
39
40
14.000
0.375
62.58
0.349
0.312
52.28
0.500
72.09
0.375
54.57
0.312
45.61
0.291
0.465
0.349
0.291
475
470
468
465
462
397
394
392
389
387
546
540
537
534
530
414
409
407
404
401
345
341
339
337
335
532
528
524
520
516
459
456
453
450
446
385
382
380
377
374
526
521
517
512
507
398
395
392
388
385
332
329
327
324
321
584
579
574
569
563
512
508
503
499
494
443
439
435
431
427
371
368
365
361
358
502
497
492
486
480
381
377
373
369
365
318
314
311
308
304
486
482
477
473
469
558
552
546
540
534
489
484
479
474
468
423
419
414
410
405
354
351
347
343
339
474
468
462
456
449
360
355
351
346
341
300
297
293
289
285
612
606
599
593
586
464
460
455
450
445
527
521
514
508
501
463
457
451
445
439
400
395
391
385
380
335
331
327
323
319
442
435
428
421
414
336
331
325
320
314
280
276
272
267
263
502
498
493
488
483
580
573
566
559
552
440
435
430
425
419
494
486
479
472
464
433
427
421
414
407
375
370
364
359
353
314
310
305
301
296
406
398
390
382
374
309
303
297
291
285
258
253
248
243
238
632
625
618
611
603
477
472
467
462
456
545
537
530
522
515
414
408
403
397
391
456
448
440
432
424
401
394
387
380
373
347
341
335
329
323
291
286
281
276
271
366
358
349
340
331
279
273
266
260
253
233
228
222
217
212
596
588
581
573
565
451
445
439
434
428
507
499
491
483
474
385
379
373
367
361
416
407
398
390
381
365
358
350
343
335
317
310
304
297
290
266
260
255
250
244
322
313
303
294
284
246
239
232
225
218
206
200
194
188
182
28.5
21.5
25.6
19.4
PROPERTIES
Area, In.2
I, In.
4
r, In.
B, Bending Factor
a ÷ 10 6
1360
6.91
0.210
203
1040
6.95
0.207
155
985
6.20
0.234
147
754
6.24
0.232
113
22.7
685
5.49
0.265
102
93
19.9
606
5.51
0.263
90.5
17.2
526
5.53
0.262
78.5
14.4
443
5.55
0.260
66.2
19.8
453
4.79
0.306
67.6
15.0
349
4.83
0.301
52.1
12.5
295
4.85
0.297
44.1
HSS / Round
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
Nominal Outside Diameter
Wall Thickness
65.42
Design Wall Thickness
Effective length KL in feet
12.750
0.500
Weight Per Foot
ERW
0.375
49.56
12.500
0.250
33.38
0.625
79.27
0.500
64.08
0.375
48.56
0.312
40.61
0.250
32.71
0.188
24.72
0.174*
0.465
0.349
0.233
0.581
0.465
Fy = 46 ksi
0.349
0.291
0.233
0
2
3
4
5
494
488
485
481
477
375
371
368
366
363
253
250
248
246
244
602
594
590
585
580
486
480
476
473
469
367
363
360
357
354
309
305
303
301
298
248
245
243
241
239
186
184
182
181
180
6
7
8
9
10
473
469
464
459
454
359
356
353
349
345
242
240
238
235
233
575
569
564
558
551
464
460
455
451
445
351
348
344
341
337
296
293
290
287
284
237
235
233
230
228
178
176
175
173
171
11
12
13
14
15
449
444
438
432
426
342
337
333
329
324
230
228
225
222
219
545
538
531
523
516
440
435
429
423
417
333
329
325
320
316
281
277
274
270
266
225
222
220
217
214
169
167
165
163
161
16
17
18
19
20
420
414
407
400
393
320
315
310
305
300
216
213
209
206
203
508
500
491
483
474
411
404
398
391
384
311
306
301
296
291
262
258
254
250
246
211
207
204
201
197
158
156
153
151
148
21
22
23
24
25
386
379
372
364
356
295
289
284
278
272
199
195
192
188
184
465
456
446
436
427
377
369
362
354
346
286
280
275
269
263
241
237
232
227
222
194
190
186
182
179
146
143
140
137
134
26
27
28
29
30
348
340
332
324
315
266
260
254
248
241
180
176
172
168
164
417
406
396
385
374
338
330
322
313
304
257
251
245
238
232
217
212
207
201
196
175
171
166
162
158
131
128
125
122
119
31
32
33
34
35
306
297
288
279
270
235
228
221
214
207
159
155
150
146
141
363
351
340
328
316
296
286
277
268
258
225
219
212
205
197
191
185
179
173
167
153
149
144
140
135
116
112
109
105
102
36
37
38
39
40
260
250
240
230
219
200
193
185
177
170
136
131
126
121
116
303
291
278
265
252
248
238
228
218
207
190
183
175
167
159
161
155
149
142
135
130
125
120
115
110
98
94
91
87
83
17.9
13.6
9.16
17.6
13.3
11.2
8.98
6.74
PROPERTIES
Area, In.2
I, In.
4
21.8
339
262
180
387
319
246
208
169
128
r, In.
4.35
4.39
4.43
4.22
4.26
4.30
4.32
4.34
4.36
B, Bending Factor
0.337
0.331
0.324
0.352
0.345
0.338
0.337
0.332
0.329
a ÷ 10 6
50.6
39.1
26.9
57.8
47.6
36.7
31.1
25.2
19.1
*Slender element section. Diameter-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 3300/ Fy
94
HSS / Round
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
12.313
Nominal Outside Diameter
Wall Thickness
0.625
Weight Per Foot
78.02
Effective length KL in feet
Design Wall Thickness
ERW
0.500
63.08
0.375
47.81
12.250
0.312
39.99
0.250
32.21
0.188
24.35
0.625
77.60
0.581
0.465
0.349
0.291
0.233
0.174
0.581
Fy = 46 ksi
0
2
3
4
5
591
583
579
574
569
477
471
468
464
460
362
357
354
352
349
304
300
298
295
293
244
241
239
237
235
183
181
180
178
177
6
7
8
9
10
564
558
553
546
540
456
452
447
442
437
346
342
339
335
331
290
287
285
282
278
233
231
229
226
224
11
12
13
14
15
533
526
519
512
504
432
426
420
415
408
327
323
319
315
310
275
272
268
264
261
16
17
18
19
20
496
488
480
471
462
402
396
389
382
375
305
300
295
290
285
21
22
23
24
25
453
444
434
425
415
368
360
353
345
337
26
27
28
29
30
404
394
383
373
362
31
32
33
34
35
36
37
38
39
40
0.500
62.75
0.375
47.56
0.312
39.78
0.250
32.04
0.188
24.22
0.465
0.349
0.291
0.233
0.174
588
580
576
571
566
475
469
465
462
458
359
354
352
349
346
301
297
295
293
290
243
240
238
236
234
182
180
179
177
176
175
174
172
170
168
561
556
550
544
537
453
449
444
439
434
343
340
336
332
329
288
285
282
279
276
232
230
228
225
223
174
173
171
169
167
221
218
216
213
210
166
164
162
160
158
530
524
516
509
501
429
423
418
412
406
325
321
316
312
307
272
269
265
262
258
220
217
214
211
208
165
163
161
159
156
257
253
248
244
240
206
203
200
196
193
155
153
150
148
145
493
485
477
468
459
399
393
386
379
372
303
298
293
288
282
254
250
246
242
237
205
202
199
195
192
154
152
149
147
144
280
274
268
263
257
235
231
226
221
216
189
186
182
178
174
143
140
137
134
131
450
441
431
421
411
365
358
350
342
334
277
271
266
260
254
233
228
223
219
214
188
184
181
177
173
141
139
136
133
130
329
321
312
304
295
251
244
238
232
225
211
206
201
195
190
170
166
162
158
153
128
125
122
119
116
401
391
380
369
358
326
318
309
301
292
248
242
236
229
223
209
203
198
193
187
169
165
161
156
152
127
124
121
118
114
350
339
327
315
303
286
277
267
258
248
218
212
205
198
190
184
179
173
167
161
149
144
140
135
130
112
109
105
102
98
347
335
324
312
299
283
274
264
255
245
216
209
202
195
188
182
176
170
164
158
147
143
138
133
129
111
108
104
101
97
290
277
264
251
239
238
228
218
207
197
183
175
168
160
152
155
148
142
135
129
125
120
115
110
104
95
91
87
83
79
287
274
261
248
235
235
225
214
204
194
180
173
165
157
149
152
146
139
133
126
124
119
114
108
103
93
90
86
82
78
21.4
17.3
13.1
11.0
21.3
17.2
13.0
10.9
8.80
6.60
PROPERTIES
Area, In.2
8.84
6.64
369
304
235
199
161
122
363
299
231
196
159
120
r, In.
4.15
4.19
4.23
4.25
4.27
4.29
4.13
4.17
4.21
4.23
4.25
4.27
B, Bending Factor
0.357
0.350
0.343
0.340
0.338
0.335
0.359
0.352
0.345
0.341
0.339
0.337
a ÷ 10 6
55.1
45.4
35.1
29.7
24.0
18.2
54.2
44.7
34.5
29.3
23.7
17.9
I, In.
4
95
HSS / Round
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
Nominal Outside Diameter
Wall Thickness
11.250
0.625
Weight Per Foot
70.92
Design Wall Thickness
ERW
0.581
0.500
57.41
0.465
0.375
43.56
0.349
10.750
0.312
36.45
0.291
0.250
29.37
0.233
0.188
22.21
0.500
54.74
0.365
40.48
0.250
28.04
0.174
0.465
0.340
0.233
Effective length KL in feet
Fy = 46 ksi
0
2
3
4
5
538
531
526
521
516
436
430
426
423
419
331
327
324
321
318
276
272
270
268
265
222
219
218
216
214
167
165
163
162
160
414
408
404
401
396
306
302
299
297
294
213
209
208
206
204
6
7
8
9
10
511
505
499
493
486
414
410
405
400
394
315
311
308
304
300
262
260
257
253
250
212
209
207
204
202
159
157
155
154
152
392
387
382
377
372
290
287
283
280
276
202
199
197
194
192
11
12
13
14
15
479
472
464
457
449
389
383
377
371
365
296
292
287
282
278
247
243
239
236
232
199
196
193
190
187
150
147
145
143
141
366
360
354
348
341
272
267
263
258
254
189
186
183
180
176
16
17
18
19
20
440
432
423
414
405
358
351
344
337
330
273
268
262
257
251
228
223
219
215
210
184
180
177
173
170
138
136
133
130
128
335
328
321
313
306
249
244
238
233
227
173
170
166
162
159
21
22
23
24
25
395
386
376
365
355
322
314
306
298
290
246
240
234
228
222
205
201
196
191
185
166
162
158
154
150
125
122
119
116
113
298
290
282
274
265
222
216
210
204
198
155
151
147
143
138
26
27
28
29
30
344
333
322
310
299
281
272
263
254
245
215
209
202
195
188
180
175
169
164
158
146
141
137
133
128
110
107
103
100
97
256
247
238
229
219
191
185
178
171
164
134
130
125
120
116
31
32
33
34
35
287
274
262
249
236
235
226
216
205
195
181
174
166
159
151
152
146
140
133
127
123
118
113
108
103
93
89
86
82
78
209
199
189
178
168
157
150
142
135
127
111
106
101
95
90
36
37
38
39
40
223
211
200
190
181
184
175
166
157
149
143
135
128
122
116
120
114
108
103
98
98
93
88
84
79
74
70
67
63
60
159
151
143
136
129
120
114
108
102
97
85
81
77
73
69
19.5
15.8
12.0
8.06
6.05
15.0
11.1
7.70
PROPERTIES
Area, In.2
I, In.
4
r, In.
B, Bending Factor
a ÷ 10 6
278
3.78
0.395
41.5
229
3.82
0.388
34.2
178
3.86
0.379
26.6
10.0
151
122
3.88
0.373
22.5
96
3.90
0.372
18.2
92.9
3.92
0.366
13.9
199
3.64
0.405
29.7
151
3.68
0.395
22.5
106
3.72
0.390
15.8
HSS / Round
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
10.000
Nominal Outside Diameter
Wall Thickness
0.625
Weight Per Foot
62.58
Design Wall Thickness
0.500
50.73
0.375
38.55
9.625
0.312
32.28
0.250
26.03
0.581
0.465
0.349
0.291
0.233
475
467
462
458
452
384
377
374
370
366
293
288
285
282
279
245
241
239
237
234
197
194
192
190
188
6
7
8
9
10
447
441
434
428
421
361
357
352
346
341
276
272
268
264
260
231
228
225
222
218
11
12
13
14
15
413
406
398
390
381
335
329
322
316
309
256
251
246
242
237
16
17
18
19
20
372
363
354
344
334
302
295
288
280
272
21
22
23
24
25
324
314
303
292
281
26
27
28
29
30
0.188
19.70
0.375
37.05
0.312
31.03
0.250
25.03
0.188
18.95
0.349
0.291
0.233
0.174
148
146
145
143
142
370
364
360
356
352
282
277
274
271
268
235
232
229
227
224
190
186
185
183
181
143
140
139
138
136
186
184
181
179
176
140
138
136
134
132
347
342
337
332
326
265
261
257
253
249
221
218
215
212
208
178
176
173
171
168
134
132
131
129
126
215
211
207
203
199
173
170
167
163
160
130
128
125
123
120
320
314
307
301
294
244
240
235
230
225
205
201
197
193
188
165
162
159
155
152
124
122
120
117
115
231
226
220
215
209
194
190
185
180
175
157
153
149
146
142
118
115
112
110
107
287
279
272
264
256
219
214
208
202
196
184
179
175
170
165
148
145
141
137
133
112
109
106
104
101
264
256
247
239
230
203
196
190
183
177
170
165
160
154
149
138
134
129
125
121
104
101
98
94
91
247
239
230
221
212
190
184
177
170
163
160
154
149
143
138
129
125
120
116
112
97
94
91
88
84
269
258
245
233
220
221
211
202
192
182
170
163
156
148
141
143
137
131
125
119
116
111
107
102
97
88
84
81
77
73
202
193
183
173
162
156
149
142
134
126
132
126
120
113
107
107
102
97
92
87
81
77
74
70
66
31
32
33
34
35
207
194
183
172
162
171
161
151
142
134
133
125
117
111
104
112
106
99
94
88
91
86
81
76
72
69
65
62
58
55
152
142
134
126
119
118
111
104
98
93
100
94
88
83
79
82
77
72
68
64
62
58
55
52
49
36
37
38
39
40
154
145
138
131
124
127
120
114
108
103
99
93
89
84
80
84
79
75
71
68
68
64
61
58
55
52
49
46
44
42
113
107
101
96
91
88
83
79
75
71
74
70
67
63
60
61
57
54
52
49
46
44
41
39
37
17.2
13.9
10.6
8.88
8.53
6.87
5.17
`
0.174
Fy = 46 ksi
0.500
48.73
0.465
0
2
3
4
5
Effective length KL in feet
ERW
PROPERTIES
Area, In.2
I, In.
4
r, In.
B, Bending Factor
a ÷ 10 6
191
3.34
0.450
28.5
159
3.38
0.437
23.7
123
3.41
0.431
18.4
105
3.43
0.423
15.7
7.15
85.3
5.37
64.8
3.45
3.47
0.419
0.414
12.7
97
9.68
13.4
141
3.24
0.457
21.1
10.2
110
3.28
0.446
16.4
93.0
3.30
0.441
13.9
75.9
57.7
3.32
3.34
0.436
0.431
11.3
8.62
HSS / Round
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
8.750
Nominal Outside Diameter
Wall Thickness
0.500
Weight Per Foot
44.06
Design Wall Thickness
0.465
0.375
33.54
0.349
0.312
28.12
0.291
ERW
8.625
0.250
22.70
0.233
0.188
17.19
0.174
0.500
43.39
0.465
0.375
33.04
0.349
0.322
28.55
7.625
0.250
22.36
0.188
16.94
0.375
29.04
0.328
25.56
0.300
0.233
0.174
0.349
0.305
0.125
10.01
0.166
Effective length KL in feet
Fy = 46 ksi
0
2
3
4
5
334
328
324
320
315
254
249
247
244
240
213
209
207
205
202
172
169
167
165
163
129
127
126
124
123
328
322
318
314
310
250
246
243
240
236
217
213
210
208
205
169
166
164
162
160
128
125
124
122
121
220
215
213
209
206
193
189
187
184
181
76
74
73
72
71
6
7
8
9
10
311
306
300
295
289
237
233
229
225
220
199
196
192
189
185
160
158
155
152
149
121
119
117
115
113
305
300
295
289
283
233
229
225
221
216
202
198
195
191
188
158
155
153
150
147
119
117
115
113
111
202
198
194
189
185
178
174
171
167
162
70
68
67
65
64
11
12
13
14
15
282
276
269
262
255
216
211
206
201
195
181
177
173
169
164
146
143
140
136
133
110
108
105
103
100
277
270
264
256
249
212
207
202
197
191
184
179
175
171
166
144
141
137
134
130
108
106
103
101
98
180
175
169
164
158
158
154
149
144
139
62
61
59
57
55
16
17
18
19
20
247
240
232
223
215
190
184
178
172
165
160
155
150
145
139
129
125
121
117
113
97
95
92
89
85
242
234
226
217
209
185
180
174
167
161
161
156
151
146
140
126
123
119
114
110
95
93
90
86
83
152
146
139
132
126
134
128
123
117
111
53
51
49
47
45
21
22
23
24
25
206
197
188
178
168
159
152
145
138
131
134
128
123
117
111
109
104
100
95
90
82
79
76
72
68
200
191
182
172
162
154
148
141
134
126
134
129
123
117
110
106
101
97
92
87
80
77
73
70
66
118
111
103
96
88
105
98
92
85
78
42
40
37
35
32
26
27
28
29
30
158
148
137
128
120
123
115
107
100
94
104
98
91
85
80
85
80
75
70
65
65
61
57
53
50
152
141
131
123
115
119
111
103
96
90
104
97
90
84
79
82
77
72
67
62
62
59
55
51
48
81
76
70
65
61
72
67
62
58
54
30
28
26
24
22
31
32
33
34
35
112
105
99
93
88
88
82
77
73
69
75
70
66
62
59
61
57
54
51
48
46
44
41
39
36
107
101
95
89
84
84
79
74
70
66
74
69
65
61
58
58
55
52
49
46
45
42
39
37
35
57
54
51
48
45
51
48
45
42
40
21
20
18
17
16
36
37
38
39
40
83
79
75
71
67
65
62
58
55
53
55
52
50
47
45
45
43
41
38
37
34
33
31
29
28
80
75
71
68
64
62
59
56
53
50
55
52
49
47
44
43
41
39
37
35
33
31
30
28
27
43
40
38
36
34
38
36
34
32
30
16
15
14
13
13
12.1
9.21
7.73
6.23
4.69
9.07
7.85
6.14
4.62
7.98
7.01
2.74
PROPERTIES
Area, In.2
I, In.
4
r, In.
B, Bending Factor
a ÷ 10 6
104
2.93
0.509
15.5
81.4
2.97
0.495
12.2
69.3
56.6
43.1
2.99
3.01
3.03
0.488
0.482
0.476
8.45
6.44
10.3
11.9
99.5
2.89
0.516
14.9
98
77.8
2.93
0.503
11.6
68.1
54.1
41.3
52.9
47.1
19.3
2.95
2.97
2.99
2.58
2.59
2.66
0.497
0.489
0.482
0.575
0.567
0.541
8.08
6.17
7.90
7.03
2.88
10.2
HSS / Round
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
7.500
Nominal Outside Diameter
Wall Thickness
0.500
Weight Per Foot
37.38
Design Wall Thickness
ERW
0.465
0.375
28.54
0.312
23.95
0.349
0.291
7.000
0.250
19.36
0.233
0.188
14.68
0.174
0.500
34.71
0.465
0.375
26.53
0.312
22.29
0.250
18.02
0.188
13.68
0.125
9.18
0.349
0.291
0.233
0.174
0.116
Effective length KL in feet
Fy = 46 ksi
0
2
3
4
5
284
278
274
270
265
216
212
209
205
202
182
178
175
173
170
147
144
142
140
137
110
108
107
105
103
264
257
253
249
244
201
196
193
190
186
169
165
163
160
157
137
133
131
129
127
103
101
99
97
96
69
68
67
66
64
6
7
8
9
10
260
254
249
243
236
198
194
190
185
181
167
163
160
156
152
135
132
129
126
123
101
99
97
95
93
239
233
227
221
214
183
178
174
169
164
154
150
147
143
139
124
122
119
115
112
94
92
89
87
85
63
62
60
59
57
11
12
13
14
15
229
222
215
207
200
176
170
165
159
153
148
144
139
134
129
120
116
113
109
105
90
88
85
82
79
208
200
193
185
177
159
154
148
142
136
134
130
125
120
115
109
105
101
98
93
82
80
77
74
71
55
54
52
50
48
16
17
18
19
20
191
183
174
165
155
147
141
134
128
121
124
119
114
108
102
101
97
92
88
83
76
73
70
67
63
168
159
150
141
131
130
123
116
109
102
110
104
99
93
87
89
85
80
76
71
68
64
61
58
54
46
44
41
39
37
21
22
23
24
25
146
136
125
115
106
113
106
98
90
83
96
90
84
77
71
79
74
69
63
58
60
56
52
48
45
121
110
101
93
85
94
86
79
72
67
80
74
67
62
57
66
61
55
51
47
50
46
42
39
36
34
32
29
27
25
26
27
28
29
30
98
91
84
79
74
77
71
66
62
58
66
61
57
53
49
54
50
46
43
40
41
38
35
33
31
79
73
68
63
59
62
57
53
50
46
53
49
46
42
40
43
40
37
35
33
33
31
29
27
25
23
21
20
18
17
31
32
33
34
35
69
65
61
57
54
54
51
48
45
42
46
43
41
38
36
38
36
33
32
30
29
27
26
24
23
55
52
49
46
44
43
41
38
36
34
37
35
33
31
29
31
29
27
25
24
23
22
21
19
18
16
15
14
13
13
36
37
38
39
40
51
48
46
44
41
40
38
36
34
33
34
32
31
29
28
28
27
25
24
23
21
20
19
18
17
41
39
37
====
32
30
29
27
====
28
26
25
23
====
23
21
20
19
====
17
16
16
15
14
12
11
11
10
10
10.3
7.84
6.59
7.29
6.13
3.73
2.51
PROPERTIES
Area, In.2
I, In.
4
63.9
50.2
42.9
5.32
35.2
4.00
26.9
9.55
51.2
40.4
34.6
4.95
28.4
21.7
14.9
r, In.
2.49
2.53
2.55
2.57
2.59
2.32
2.35
2.37
2.39
2.41
2.43
B, Bending Factor
0.604
0.586
0.576
0.567
0.558
0.653
0.632
0.620
0.610
0.602
0.590
a ÷ 10 6
9.54
7.50
6.41
5.26
4.02
7.65
6.03
5.17
4.24
3.24
2.23
Note: Double Horizontal Line indicates k l/r limit of 200.
99
HSS / Round
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
Nominal Outside Diameter
Wall Thickness
34.04
Design Wall Thickness
Effective length KL in feet
6.875
0.500
Weight Per Foot
ERW
0.375
26.03
0.312
21.87
6.625
0.250
17.69
0.188
13.43
0.500
32.71
0.465
0.349
0.291
0.233
0.174
0.465
0
2
3
4
5
258
252
248
243
239
198
193
190
186
183
166
162
160
157
154
134
131
129
127
124
101
99
97
95
94
248
242
238
233
228
6
7
8
9
10
233
228
222
215
209
179
175
170
166
161
151
147
143
140
135
122
119
116
113
110
92
90
88
85
83
11
12
13
14
15
202
194
187
179
170
155
150
144
138
132
131
126
122
117
112
106
103
99
95
91
16
17
18
19
20
162
153
143
134
124
126
119
112
105
97
106
101
95
89
83
21
22
23
24
25
113
103
95
87
80
90
82
75
69
63
26
27
28
29
30
74
69
64
59
56
31
32
33
34
35
36
37
38
39
40
0.432
28.57
0.403
Fy = 46 ksi
0.375
25.03
0.312
21.04
0.280
18.97
0.250
17.02
0.188
12.92
0.125
8.68
0.349
0.291
0.261
0.233
0.174
0.116
217
212
208
204
200
190
185
182
179
175
160
156
153
150
147
144
140
138
136
133
129
126
124
122
119
97
95
93
92
90
65
64
63
62
60
223
217
211
205
198
196
191
185
180
174
171
167
162
157
152
144
141
137
133
129
130
127
123
120
116
117
114
111
108
104
88
86
84
81
79
59
58
56
55
53
80
77
75
72
69
191
183
175
167
159
168
161
154
147
140
147
141
136
129
123
124
119
115
110
104
112
108
104
99
94
101
97
93
89
85
76
73
71
68
64
51
50
48
46
44
86
82
77
73
68
66
62
59
55
52
150
141
131
121
111
132
124
116
108
99
117
110
103
95
88
99
93
87
81
75
90
84
79
74
68
81
76
71
67
61
61
58
54
51
47
41
39
37
35
32
77
70
64
59
54
63
58
53
48
45
48
44
40
37
34
101
92
84
77
71
90
82
75
69
63
80
73
66
61
56
68
62
57
52
48
62
57
52
48
44
56
51
47
43
40
43
39
36
33
30
29
27
25
23
21
59
54
51
47
44
50
46
43
40
38
41
38
36
33
31
32
29
27
25
24
66
61
57
53
49
59
54
50
47
44
52
48
45
42
39
45
41
38
36
33
41
38
35
33
30
37
34
32
29
28
28
26
24
23
21
19
18
17
15
14
52
49
46
43
41
41
39
36
34
32
35
33
31
29
28
29
27
26
24
23
22
21
20
18
17
46
43
41
38
36
41
39
36
34
32
37
34
32
30
29
31
29
28
26
25
29
27
25
24
22
26
24
23
21
20
20
19
17
16
16
14
13
12
11
11
39
37
====
31
29
27
====
26
25
23
====
21
20
19
18
====
16
16
15
14
====
34
====
31
====
27
26
====
23
22
====
21
20
====
19
18
====
15
14
13
====
10
9
9
====
9.36
7.16
6.02
4.86
3.66
7.88
6.88
5.79
5.22
4.68
3.53
2.37
PROPERTIES
Area, In.2
I, In.
4
48.3
38.2
r, In.
2.27
2.31
B, Bending Factor
0.666
0.644
a ÷ 10 6
7.21
5.70
32.7
2.33
26.8
20.6
9.00
42.9
38.3
34.0
29.1
26.5
23.9
18.4
12.6
2.35
2.37
2.18
2.20
2.22
2.24
2.25
2.26
2.28
2.30
0.633
0.623
0.611
0.695
0.682
0.670
0.659
0.653
0.649
0.635
0.623
4.88
4.00
3.08
6.41
5.72
5.08
4.35
3.96
3.57
2.75
1.88
Note: Double Horizontal Line indicates k l/r limit of 200.
100
HSS / Round
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
6.125
Nominal Outside Diameter
Wall Thickness
0.500
Weight Per Foot
30.04
Effective length KL in feet
Design Wall Thickness
ERW
0.375
23.03
0.312
19.37
6.000
0.250
15.69
0.188
11.92
0.500
29.37
0.465
0.349
0.291
0.233
0.174
0
2
3
4
5
228
222
218
213
208
175
170
167
163
159
147
143
140
138
134
119
116
114
111
109
90
87
86
84
82
223
217
212
208
203
6
7
8
9
10
202
196
190
183
176
155
151
146
141
136
131
127
124
119
115
106
103
100
97
93
80
78
76
73
71
11
12
13
14
15
169
161
153
144
135
131
125
119
112
106
110
106
101
95
90
89
86
82
77
73
16
17
18
19
20
126
117
106
96
87
99
92
84
76
69
84
78
72
66
59
21
22
23
24
25
79
72
65
60
55
63
57
52
48
44
26
27
28
29
30
51
48
44
41
38
31
32
33
34
35
0.375
22.53
0.465
0.349
Fy = 46 ksi
0.312
18.95
0.280
17.11
0.250
15.35
0.188
11.67
0.125
7.84
0.291
0.261
0.233
0.174
0.116
171
166
163
160
156
144
140
137
134
131
130
126
124
121
119
116
113
111
109
106
88
85
84
82
80
59
57
56
55
54
197
191
185
178
171
152
147
142
137
132
128
124
120
116
112
115
112
109
105
101
104
101
97
94
91
78
76
74
71
68
53
51
50
48
46
68
65
62
59
56
163
155
147
138
129
126
120
114
108
101
107
102
97
92
86
97
92
88
83
78
87
83
79
75
70
66
63
60
57
53
44
43
41
38
36
68
64
59
54
48
52
49
45
41
37
120
110
99
89
81
94
87
79
71
64
80
74
68
61
55
73
67
62
56
50
66
61
56
50
46
50
46
43
39
35
34
32
29
27
24
54
49
45
41
38
44
40
37
34
31
34
31
28
26
24
73
67
61
56
52
58
53
49
45
41
50
46
42
38
35
46
42
38
35
32
41
38
34
32
29
32
29
26
24
22
22
20
18
17
15
41
38
35
33
31
35
32
30
28
26
29
27
25
23
21
22
20
19
18
17
48
44
41
38
36
38
35
33
31
29
33
30
28
26
25
30
28
26
24
22
27
25
23
22
20
21
19
18
17
16
14
13
12
11
11
36
34
32
====
29
27
25
24
====
25
23
22
20
====
20
19
18
17
====
15
15
14
13
12
====
34
31
====
27
25
24
====
23
22
20
====
21
20
18
====
19
18
17
16
====
15
14
13
12
====
10
9
9
8
====
8.27
6.33
5.33
4.31
4.22
3.18
2.14
36
37
38
39
40
PROPERTIES
Area, In.2
I, In.
4
33.3
26.5
22.7
18.7
3.25
14.4
8.09
31.2
6.2
24.8
5.22
21.3
4.71
19.4
17.6
13.5
9.28
r, In.
2.01
2.05
2.07
2.08
2.1
1.96
2
2.02
2.03
2.04
2.06
2.08
B, Bending Factor
0.761
0.732
0.719
0.706
0.691
0.778
0.75
0.735
0.728
0.719
0.707
0.692
a ÷ 10 6
4.97
3.96
3.39
2.79
2.15
4.66
3.7
3.18
2.9
2.63
2.02
1.39
Note: Double Horizontal Line indicates k l/r limit of 200.
101
HSS / Round
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
5.563
Nominal Outside Diameter
0.375
Wall Thickness
20.78
Weight Per Foot
0.258
14.62
5.500
0.188
0.134
10.79
0.349
0.241
0.174
0
2
3
4
5
158
153
150
146
142
111
108
106
103
100
6
7
8
9
10
138
133
128
123
118
11
12
13
14
15
7.77
0.500
26.70
0.375
20.53
0.258
14.44
0.125
Fy = 46 ksi
0.465
0.349
0.241
81
79
77
76
74
59
57
56
55
53
203
196
192
187
182
156
151
148
144
140
110
106
104
102
99
97
94
91
87
83
72
69
67
64
62
52
50
49
47
45
176
170
163
156
149
136
131
126
121
115
96
93
89
86
82
112
106
99
92
85
79
75
71
66
61
59
56
52
49
46
43
41
38
36
33
141
133
124
115
105
110
103
97
90
83
78
74
69
65
60
16
17
18
19
20
78
70
63
56
51
56
51
46
41
37
42
38
34
31
28
31
28
25
23
20
95
85
75
68
61
76
68
61
54
49
55
49
44
40
36
21
22
23
24
25
46
42
38
35
32
33
31
28
26
24
25
23
21
19
18
19
17
15
14
13
55
51
46
42
39
44
41
37
34
31
32
30
27
25
23
26
27
28
29
30
30
28
26
24
23
====
22
20
19
18
16
17
15
14
13
12
12
11
10
10
9
36
34
31
29
====
29
27
25
23
22
====
21
20
18
17
16
15
====
12
====
9
8
====
4.03
2.95
Design Wall Thickness
Effective length KL in feet
ERW
31
32
33
34
35
15
====
36
37
38
39
40
PROPERTIES
Area, In.2
I, In.
4
5.72
19.5
14.3
2.14
10.7
7.90
7.36
23.5
5.65
18.8
3.98
13.8
r, In.
1.85
1.88
1.91
1.92
1.79
1.83
1.86
B, Bending Factor
0.816
0.784
0.767
0.753
0.861
0.826
0.793
a ÷ 10 6
2.91
2.14
1.60
1.18
3.51
2.81
2.06
Note: Double Horizontal Line indicates k l/r limit of 200.
102
HSS / Round
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
5.000
Nominal Outside Diameter
Wall Thickness
0.500
Weight Per Foot
24.03
Design Wall Thickness
ERW
0.465
0.375
18.52
0.349
0.312
15.62
0.291
0.258
13.07
0.241
4.500
0.250
12.68
0.233
0.188
0.125
9.66
6.51
0.337
0.174
0.116
0.315
14.98
0.237
0.188
0.125
8.66
5.84
0.221
0.174
0.116
10.79
Effective length KL in feet
Fy = 46 ksi
0
2
3
4
5
183
176
171
166
161
141
136
132
129
124
119
114
112
109
105
99
96
94
91
88
96
93
91
88
86
73
70
69
67
65
49
47
46
45
44
114
110
106
103
99
82
79
76
74
71
65
63
61
59
57
44
42
41
40
39
6
7
8
9
10
155
148
141
134
126
120
115
110
104
98
101
97
93
88
84
85
82
78
74
70
83
79
76
72
68
63
60
58
55
52
42
41
39
37
35
95
90
85
80
74
68
65
62
58
54
54
52
49
46
43
37
35
34
32
30
11
12
13
14
15
117
109
99
89
79
92
86
79
72
64
78
73
67
61
55
66
61
57
52
47
64
60
55
51
46
49
46
42
39
35
33
31
29
27
24
68
62
55
48
42
50
45
41
36
31
40
37
33
29
25
27
25
23
20
18
16
17
18
19
20
70
62
55
49
44
56
50
44
40
36
49
43
38
34
31
41
36
33
29
26
40
36
32
29
26
31
28
25
22
20
22
19
17
15
14
37
33
29
26
24
27
24
22
19
18
22
20
18
16
14
16
14
12
11
10
21
22
23
24
25
40
37
34
31
28
33
30
27
25
23
28
26
24
22
20
24
22
20
18
17
23
21
20
18
17
18
17
15
14
13
13
11
10
10
9
21
19
18
16
====
16
15
13
12
11
====
13
12
11
10
9
====
9
8
8
7
6
====
26
27
28
29
30
26
====
21
20
====
18
17
====
16
14
13
====
15
14
13
====
12
11
10
====
8
8
7
====
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
I, In.
4
6.62
17.2
5.10
13.9
4.30
2.64
1.78
4.14
2.97
2.36
1.60
9.94
7.69
5.31
9.12
6.82
5.54
3.84
1.68
1.69
1.71
1.73
1.48
1.51
1.53
1.55
0.917
0.896
0.882
0.878
0.858
0.838
1.02
0.980
0.958
0.938
2.08
1.79
1.52
1.48
1.15
0.793
1.36
1.02
0.827
0.573
1.61
1.65
B, Bending Factor
0.962
a ÷ 10 6
2.57
10.2
3.49
1.67
r, In.
12.0
3.60
Note: Double Horizontal Line indicates k l/r limit of 200.
103
HSS / Round
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
Nominal Outside Diameter
Wall Thickness
4.000
0.337
Weight Per Foot
13.18
Design Wall Thickness
ERW
0.315
0.313
12.33
0.291
0.250
10.01
0.233
0.237
0.226
0.220
0.188
0.125
9.52
9.11
8.88
7.65
5.17
0.211
0.205
0.174
0.116
0.221
Effective length KL in feet
Fy = 46 ksi
0
2
3
4
5
101
96
93
89
85
94
89
86
83
79
76
73
70
67
64
72
69
67
64
61
69
66
64
61
59
67
64
62
60
57
58
55
53
51
49
39
37
36
35
33
6
7
8
9
10
80
75
70
64
58
75
70
65
60
55
61
57
54
49
45
58
55
51
47
43
56
52
49
45
41
54
51
48
44
40
46
44
41
38
34
32
30
28
26
24
11
12
13
14
15
52
45
38
33
29
49
42
36
31
27
40
35
30
26
23
38
34
29
25
22
37
32
28
24
21
36
31
27
23
20
31
27
23
20
18
21
19
16
14
12
16
17
18
19
20
25
22
20
18
16
24
21
19
17
15
20
18
16
14
13
19
17
15
14
12
18
16
14
13
12
18
16
14
13
11
15
14
12
11
10
11
10
9
8
7
21
22
23
24
25
15
====
14
13
====
11
10
====
11
10
====
11
10
====
10
9
====
9
8
====
6
6
====
3.65
3.39
2.76
2.62
2.51
2.44
2.09
1.42
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
I, In.
4
6.24
5.87
4.91
4.70
4.52
4.41
3.83
2.67
r, In.
1.31
1.32
1.33
1.34
1.34
1.34
1.35
1.37
B, Bending Factor
1.17
1.16
1.12
1.11
1.11
1.11
1.09
1.06
a ÷ 10 6
0.932
0.877
0.733
0.702
0.675
0.659
0.572
0.399
Note: Double Horizontal Line indicates k l/r limit of 200.
104
HSS / Round
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
Nominal Outside Diameter
Wall Thickness
10.65
Design Wall Thickness
Effective length KL in feet
3.500
0.313
Weight Per Foot
ERW
0.300
10.25
0.250
0.216
0.203
0.188
0.125
8.68
7.58
7.15
6.65
4.51
0.189
0.174
0.116
0.291
0.280
0.233
0.201
Fy = 46 ksi
0
2
3
4
5
81
76
73
69
65
78
74
71
67
63
66
62
60
57
54
57
54
52
50
47
54
51
49
47
44
50
47
46
43
41
34
32
31
29
28
6
7
8
9
10
61
56
51
45
39
59
54
49
44
38
50
46
42
38
33
44
40
37
33
29
41
38
35
31
27
38
36
32
29
26
26
24
22
20
18
11
12
13
14
15
33
27
23
20
18
32
26
23
19
17
28
23
20
17
15
24
21
17
15
13
23
19
17
14
12
22
18
16
13
12
15
13
11
9
8
16
17
18
19
20
15
14
12
11
====
15
13
12
11
====
13
12
10
9
====
12
10
9
8
====
11
10
9
8
====
10
9
8
7
====
7
6
6
5
5
====
2.93
2.83
2.39
2.08
1.97
1.82
1.23
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
I, In.
4
3.81
3.70
3.21
2.84
2.70
2.52
1.77
r, In.
1.14
1.14
1.16
1.17
1.17
1.18
1.20
B, Bending Factor
1.35
1.34
1.30
1.28
1.28
1.26
1.22
a ÷ 10 6
0.569
0.553
0.479
0.424
0.403
0.376
0.264
Note: Double Horizontal Line indicates k l/r limit of 200.
105
HSS / Round
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
ERW
3.000
Nominal Outside Diameter
2.875
Wall Thickness
0.300
0.250
0.216
0.203
0.188
0.152
0.134
0.120
0.250
0.203
0.188
0.125
Weight Per Foot
8.65
7.34
6.42
6.06
5.65
4.62
4.10
3.69
7.01
5.79
5.40
3.67
Design Wall Thickness
0.280
0.233
0.201
0.189
0.174
0.142
0.125
0.112
0.233
0.189
0.174
0.116
Effective length KL in feet
Fy = 46 ksi
0
2
3
4
5
66
61
58
54
50
56
52
49
46
43
49
46
43
41
38
46
43
41
38
35
43
40
38
35
33
35
33
31
29
27
31
29
28
26
24
28
26
25
24
22
53
49
47
43
40
44
41
39
36
33
41
38
36
34
31
28
26
25
23
21
6
7
8
9
10
45
40
35
29
23
39
35
30
25
20
34
31
27
22
18
32
29
25
21
17
30
27
23
20
16
25
22
19
16
13
22
20
18
15
12
20
18
16
13
11
36
32
27
22
18
30
26
23
18
15
28
25
21
17
14
19
17
15
12
10
11
12
13
14
15
19
16
14
12
10
17
14
12
10
9
15
13
11
9
8
14
12
10
9
8
13
11
9
8
7
11
9
8
7
6
10
8
7
6
5
9
8
7
6
5
15
12
10
9
8
====
12
10
9
8
7
====
12
10
8
7
6
====
8
7
6
5
4
16
17
18
19
20
9
====
8
====
7
====
7
====
6
====
5
====
5
4
====
4
4
====
2.39
2.03
1.77
1.67
1.13
1.02
4
====
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
1.54
1.27
1.93
1.59
1.48
1.01
2.24
1.95
1.74
1.66
1.55
1.30
1.17
1.06
1.70
1.45
1.35
0.958
r, In.
0.967
0.982
0.992
0.996
1.00
1.01
1.02
1.02
0.938
0.952
0.957
0.976
B, Bending Factor
1.60
1.56
1.53
1.51
1.49
1.47
1.45
1.44
1.63
1.58
1.58
1.52
a ÷ 10 6
0.335
0.291
0.260
0.248
0.231
0.194
0.175
0.158
0.254
0.217
0.202
0.143
I, In.
4
Note: Double Horizontal Line indicates k l/r limit of 200.
106
HSS / Round
Structural Steel Tubing
Fy=46
Allowable Concentric Loads in Kips
Nominal Outside Diameter
2.500
ERW
2.375
1.900
1.660
Wall Thickness
0.250
0.188
0.125
0.250
0.218
0.188
0.154
0.125
0.145
0.140
Weight Per Foot
6.01
4.64
3.17
5.67
5.02
4.39
3.65
3.00
2.72
2.27
Design Wall Thickness
0.233
0.174
0.116
0.233
0.204
0.174
0.143
0.116
0.135
0.130
Effective length KL in feet
Fy = 46 ksi
0
2
3
4
5
46
42
39
35
32
35
32
30
27
25
24
22
21
19
17
43
39
36
33
29
38
35
32
29
26
33
30
28
25
22
28
25
23
21
19
23
21
19
17
16
21
18
16
14
11
17
15
13
10
8
6
7
8
9
10
27
22
17
14
11
21
18
14
11
9
15
13
10
8
6
24
19
15
12
9
22
17
13
11
9
19
15
12
9
8
16
13
10
8
6
13
11
9
7
5
8
6
5
4
3
====
5
4
3
2
====
11
12
13
14
15
9
8
7
====
7
6
5
====
5
4
4
3
====
8
7
====
7
6
====
6
5
4
====
5
5
4
====
4
4
3
====
1.66
1.27
0.87
1.57
1.39
1.20
1.00
0.82
0.75
0.62
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
1.08
0.865
0.619
0.910
0.827
0.733
0.627
0.527
0.293
0.184
r, In.
0.806
0.825
0.844
0.762
0.771
0.781
0.791
0.800
0.626
0.543
B, Bending Factor
1.92
1.84
1.76
2.05
2.00
1.94
1.89
1.85
2.43
2.80
a ÷ 10 6
0.161
0.129
0.092
0.136
0.123
0.109
0.094
0.079
0.044
0.027
I, In.
4
Note: Double Horizontal Line indicates k l/r limit of 200.
107
HSS / Round
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
20.000
Nominal Outside Diameter
Wall Thickness
0.500
Weight Per Foot
104.13
Effective length KL in feet
Design Wall Thickness
18.000
0.375
78.60
0.500
93.45
ERW
16.000
0.375
70.59
0.500
82.77
0.465
0.349
0.465
0.349
0.465
0
2
3
4
5
855
848
845
841
837
645
640
637
634
631
768
761
758
754
750
582
577
574
571
568
681
674
670
666
662
6
7
8
9
10
833
828
824
819
814
628
625
622
618
614
745
741
736
731
726
565
562
558
554
551
11
12
13
14
15
809
804
799
793
787
611
607
603
599
594
721
716
710
704
698
16
17
18
19
20
782
776
769
763
757
590
585
581
576
571
21
22
23
24
25
750
743
736
729
722
26
27
28
29
30
0.438
72.80
0.407
Fy = 50 ksi
14.000
0.375
62.58
0.312
52.28
0.500
72.09
0.375
54.57
0.312
45.61
0.349
0.291
0.465
0.349
0.291
597
591
588
584
581
516
511
508
505
502
432
428
425
423
420
594
587
583
579
575
450
445
442
439
436
375
371
368
366
363
658
653
648
643
638
577
573
568
564
559
499
495
491
488
484
417
415
412
408
405
570
565
560
555
549
432
429
425
421
417
360
357
354
351
347
547
543
538
534
530
632
627
621
615
608
555
550
544
539
534
479
475
471
466
462
402
398
394
391
387
544
537
531
525
518
412
408
403
398
393
344
340
336
332
328
692
686
679
673
666
525
520
515
510
505
602
595
588
581
574
528
522
516
510
504
457
452
447
441
436
383
378
374
370
365
511
504
497
489
482
388
383
377
372
366
324
319
315
310
305
566
561
556
551
546
659
652
645
637
630
500
495
489
484
478
567
559
552
544
536
498
491
484
477
470
430
425
419
413
407
361
356
351
346
341
474
466
458
449
441
360
354
348
342
335
301
296
290
285
280
715
708
700
692
685
540
535
529
523
517
622
614
606
598
590
472
467
461
454
448
528
519
511
502
494
463
456
449
441
434
401
395
389
382
375
336
331
326
320
315
432
423
414
405
395
329
322
315
308
301
275
269
263
258
252
31
32
33
34
35
677
669
660
652
644
512
505
499
493
487
582
573
564
556
547
442
436
429
422
416
485
476
466
457
447
426
418
410
402
393
369
362
355
348
341
309
304
298
292
286
386
376
366
356
345
294
287
279
272
264
246
240
234
227
221
36
37
38
39
40
635
626
618
609
600
480
474
467
461
454
538
528
519
509
500
409
402
395
388
381
438
428
418
407
397
385
376
367
358
349
333
326
318
311
303
280
274
268
261
255
335
324
313
302
290
256
248
240
231
223
214
208
201
194
187
28.5
21.5
25.6
19.4
19.9
17.2
14.4
19.8
15.0
12.5
PROPERTIES
Area, In.2
I, In.
4
r, In.
B, Bending Factor
a ÷ 10 6
1360
6.91
0.210
203
1040
6.95
0.207
155
985
6.20
0.234
147
754
6.24
0.232
113
22.7
685
5.49
0.265
102
108
606
5.51
0.263
90.5
526
5.53
0.262
78.5
443
5.55
0.260
66.2
453
4.79
0.306
67.6
349
4.83
0.301
52.1
295
4.85
0.297
44.1
HSS / Round
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
Nominal Outside Diameter
Wall Thickness
65.42
0.375
49.56
12.500
0.250
33.38
0.625
79.27
0.500
64.08
0.375
48.56
0.312
40.61
0.250
32.71
0.188
24.72
0.465
0.349
0.233
0.581
0.465
Fy = 50 ksi
0.349
0.291
0.233
0.174*
0
2
3
4
5
537
530
526
522
518
408
403
400
397
393
275
271
269
267
265
654
645
640
635
630
528
521
517
513
508
399
394
391
388
384
336
332
329
327
324
269
266
264
262
260
197
197
197
197
195
6
7
8
9
10
513
508
503
497
491
390
386
382
378
374
263
260
258
255
252
624
617
610
603
596
504
499
493
488
482
381
377
373
369
365
321
318
314
311
307
257
255
252
249
246
193
191
189
187
185
11
12
13
14
15
485
479
473
466
459
369
364
360
355
349
249
246
243
239
236
588
581
572
564
555
476
469
463
456
449
360
355
350
345
340
303
299
295
291
287
243
240
237
234
230
183
180
178
175
173
16
17
18
19
20
452
444
437
429
421
344
339
333
327
321
232
229
225
221
217
546
536
527
517
507
442
434
427
419
411
335
329
323
318
311
282
278
273
268
263
227
223
219
215
211
170
167
165
162
159
21
22
23
24
25
413
405
396
387
378
315
309
302
296
289
213
209
204
200
196
496
486
475
463
452
402
394
385
376
367
305
299
292
286
279
258
252
247
241
236
207
203
198
194
189
156
152
149
146
143
26
27
28
29
30
369
360
350
340
330
282
275
268
261
253
191
186
182
177
172
440
428
416
404
391
358
348
339
329
318
272
265
258
250
243
230
224
218
212
205
185
180
175
170
165
139
136
132
128
125
31
32
33
34
35
320
310
299
288
277
245
238
230
222
213
167
162
156
151
146
378
365
351
337
323
308
298
287
276
265
235
227
219
211
203
199
192
186
179
172
160
155
150
144
139
121
117
113
109
105
36
37
38
39
40
266
255
243
231
220
205
196
188
179
170
140
134
128
122
117
309
294
279
265
252
253
241
229
218
207
194
185
177
168
159
165
157
150
143
135
133
127
121
115
110
101
96
92
87
83
17.6
13.3
11.2
8.98
6.74
Design Wall Thickness
Effective length KL in feet
12.750
0.500
Weight Per Foot
ERW
PROPERTIES
Area, In.2
I, In.
4
r, In.
B, Bending Factor
a ÷ 10 6
17.9
339
4.35
0.337
50.6
13.6
262
4.39
0.331
39.1
9.16
180
4.43
0.324
26.9
21.8
387
319
4.22
0.352
57.8
4.26
0.345
47.6
246
4.30
0.338
36.7
*Slender element section. Diameter-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 3300/Fy.
109
208
4.32
0.337
31.1
169
4.34
0.332
25.2
128
4.36
0.329
19.1
HSS / Round
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
12.313
Nominal Outside Diameter
Wall Thickness
0.625
Weight Per Foot
78.02
Effective length KL in feet
Design Wall Thickness
ERW
0.500
63.08
0.375
47.81
12.250
0.312
39.99
0.250
32.21
0.188
24.35
0.625
77.60
0.174*
0.581
Fy = 50 ksi
0.500
62.75
0.375
47.56
0.312
39.78
0.250
32.04
0.188
24.22
0.349
0.291
0.233
0.174*
516
509
505
501
496
390
385
382
379
375
327
323
320
318
315
264
261
259
256
254
194
194
194
192
191
608
602
595
588
581
492
486
481
475
470
372
368
364
360
355
312
309
305
302
298
252
249
247
244
241
189
187
185
183
181
180
177
175
172
170
573
565
557
548
539
463
457
450
444
437
351
346
341
336
331
294
290
286
282
278
238
235
231
228
224
178
176
174
171
168
222
218
214
211
206
167
164
161
158
155
530
521
511
501
491
429
422
414
406
398
325
320
314
308
302
273
268
264
259
254
221
217
213
209
205
166
163
160
157
154
251
246
240
235
229
202
198
194
189
185
152
149
146
143
139
480
469
458
447
435
389
381
372
363
354
296
289
283
276
269
248
243
238
232
226
201
197
192
188
183
151
148
145
141
138
265
258
251
243
235
223
217
211
205
199
180
175
170
165
160
136
132
128
125
121
424
412
399
387
374
344
335
325
315
305
262
255
248
240
233
221
215
208
202
196
179
174
169
164
159
134
131
127
123
120
298
287
276
265
253
228
220
212
203
195
192
185
179
172
165
155
150
144
139
133
117
113
109
105
101
360
347
333
319
305
294
284
273
261
250
225
217
209
200
192
189
183
176
169
162
154
148
143
137
132
116
112
108
104
100
242
230
218
207
197
186
177
168
160
152
158
150
143
135
129
128
122
116
110
104
97
92
88
83
79
290
275
261
248
235
238
227
215
204
194
183
174
165
157
149
155
148
140
133
126
126
120
114
108
103
95
91
86
82
78
6.64
21.3
10.9
8.80
6.60
0.581
0.465
0.349
0.291
0.233
0
2
3
4
5
642
633
628
623
617
519
512
508
504
499
393
388
385
382
378
330
326
323
321
318
265
262
260
258
255
195
195
195
194
192
639
630
625
620
614
6
7
8
9
10
611
605
598
591
584
495
489
484
479
473
375
371
367
363
358
315
312
308
305
301
253
250
248
245
242
190
188
186
184
182
11
12
13
14
15
576
568
560
551
542
466
460
454
447
440
354
349
344
339
334
297
293
289
285
280
239
236
233
229
226
16
17
18
19
20
533
524
514
504
494
432
425
417
409
401
328
323
317
311
305
276
271
266
261
256
21
22
23
24
25
484
473
462
450
439
393
384
375
366
357
299
292
286
279
272
26
27
28
29
30
427
415
403
390
377
348
338
328
318
308
31
32
33
34
35
364
351
337
323
309
36
37
38
39
40
294
279
265
251
239
0.465
PROPERTIES
Area, In.2
I, In.
4
r, In.
B, Bending Factor
a ÷ 10 6
21.4
369
4.15
0.357
55.1
17.3
304
4.19
0.350
45.4
13.1
235
4.23
0.343
35.1
11.0
199
4.25
0.340
29.7
8.84
161
122
4.27
0.338
24.0
4.29
0.335
18.2
363
4.13
0.359
54.2
17.2
299
4.17
0.352
44.7
*Slender element section. Diameter-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 3300/Fy.
110
13.0
231
4.21
0.345
34.5
196
4.23
0.341
29.3
159
4.25
0.339
23.7
120
4.27
0.337
17.9
HSS / Round
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
Nominal Outside Diameter
Wall Thickness
11.250
0.625
0.500
Weight Per Foot
70.92
Design Wall Thickness
0.581
0.465
0
2
3
4
5
585
576
571
566
560
6
7
8
9
10
Effective length KL in feet
ERW
57.41
0.375
43.56
10.750
0.312
0.250
0.188
36.45
29.37
22.21
0.349
0.291
0.233
Fy = 50 ksi
0.174
474
467
463
459
454
360
355
352
348
345
300
296
293
290
288
242
238
236
234
232
554
547
540
533
525
449
444
438
432
426
341
337
333
329
324
284
281
278
274
270
11
12
13
14
15
517
509
500
491
482
420
413
406
399
392
319
314
309
304
298
16
17
18
19
20
472
463
452
442
431
384
376
368
360
351
21
22
23
24
25
420
409
397
385
373
26
27
28
29
30
0.500
54.74
0.365
0.250
40.48
28.04
0.465
0.340
0.233
182
179
177
176
174
450
443
439
435
430
333
328
325
322
318
231
227
225
223
221
229
227
224
221
218
172
170
168
166
164
425
419
414
408
402
315
311
307
302
298
218
216
213
210
207
266
262
258
254
249
215
212
208
205
201
161
159
156
154
151
395
388
381
374
367
293
288
283
278
272
204
200
197
193
189
293
287
281
275
268
244
239
234
229
224
197
193
189
185
181
148
145
142
139
136
359
351
342
334
325
266
261
255
248
242
186
182
177
173
169
342
333
324
315
305
262
255
248
241
234
219
213
207
201
195
177
172
168
163
158
133
130
126
123
119
316
307
298
288
278
236
229
222
215
208
164
160
155
150
145
361
348
335
322
308
295
285
275
264
253
226
219
211
203
195
189
183
177
170
163
153
148
143
138
132
116
112
108
104
100
268
257
247
236
224
200
193
185
177
169
140
135
130
124
119
31
32
33
34
35
294
280
265
250
236
242
230
219
207
195
186
178
169
160
151
156
149
142
135
127
127
121
116
110
104
96
92
88
83
79
213
201
189
178
168
160
152
143
135
127
113
107
101
96
90
36
37
38
39
40
223
211
200
190
181
184
175
166
157
149
143
135
128
122
116
120
114
108
103
98
98
93
88
84
79
74
70
67
63
60
159
151
143
136
129
120
114
108
102
97
85
81
77
73
69
19.5
15.8
6.05
15.0
11.1
PROPERTIES
Area, In.2
I, In.
4
r, In.
B, Bending Factor
a ÷ 10 6
278
3.78
0.395
41.5
229
3.82
0.388
34.2
12.0
178
3.86
0.379
26.6
10.0
151
3.88
0.373
22.5
111
8.06
122
3.90
0.372
18.2
92.9
3.92
0.366
13.9
199
3.64
0.405
29.7
151
3.68
0.395
22.5
7.70
106
3.72
0.390
15.8
HSS / Round
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
10.000
Nominal Outside Diameter
Wall Thickness
0.625
Weight Per Foot
62.58
Design Wall Thickness
ERW
0.581
0.500
50.73
0.465
0.375
38.55
0.349
9.625
0.312
32.28
0.291
0.250
26.03
0.233
0.188
19.70
0.174
0.500
48.73
0.375
37.05
0.312
31.03
0.250
25.03
0.188
18.95
0.465
0.349
0.291
0.233
0.174
Effective length KL in feet
Fy = 50 ksi
0
2
3
4
5
516
507
502
496
490
417
410
406
401
397
318
313
310
306
303
266
262
259
257
254
215
211
209
207
204
161
158
157
155
153
402
395
391
386
381
306
301
298
294
290
256
251
249
246
243
206
203
200
198
196
155
152
151
149
147
6
7
8
9
10
484
477
470
462
454
391
386
380
374
368
299
295
290
286
281
250
247
243
239
235
202
199
196
193
190
152
149
147
145
143
376
370
364
358
352
287
282
278
273
268
240
236
233
229
225
193
190
187
184
181
145
143
141
139
136
11
12
13
14
15
445
437
428
418
408
361
354
347
339
331
276
270
265
259
253
231
227
222
218
213
186
183
179
176
172
140
138
135
132
129
345
338
330
322
314
263
258
252
246
240
220
216
211
206
202
178
174
170
167
163
134
131
129
126
123
16
17
18
19
20
398
388
377
366
354
323
315
306
298
288
247
241
235
228
221
208
203
197
192
186
168
163
159
155
150
126
123
120
117
113
306
298
289
280
270
234
228
221
214
207
196
191
186
180
174
159
154
150
146
141
120
116
113
110
106
21
22
23
24
25
342
330
318
305
292
279
269
260
250
239
214
207
200
192
184
180
174
168
162
155
146
141
136
131
126
110
106
103
99
95
261
251
241
230
219
200
193
185
178
170
168
162
156
149
143
136
131
126
121
116
103
99
96
92
88
26
27
28
29
30
279
265
251
236
221
228
218
206
195
183
176
168
159
151
142
149
142
135
128
120
120
115
109
104
98
91
87
83
79
74
208
197
185
173
162
161
153
144
135
126
136
129
122
114
107
110
105
99
93
87
84
80
75
71
66
31
32
33
34
35
207
194
183
172
162
171
161
151
142
134
133
125
117
111
104
113
106
99
94
88
92
86
81
76
72
70
65
62
58
55
152
142
134
126
119
118
111
104
98
93
100
94
88
83
79
82
77
72
68
64
62
58
55
52
49
36
37
38
39
40
154
145
138
131
124
127
120
114
108
103
99
93
89
84
80
84
79
75
71
68
68
64
61
58
55
52
49
46
44
42
113
107
101
96
91
88
83
79
75
71
74
70
67
63
60
61
57
54
52
49
46
44
41
39
37
10.6
8.88
5.37
13.4
10.2
8.53
6.87
5.17
PROPERTIES
Area, In.2
I, In.
4
r, In.
B, Bending Factor
a ÷ 10 6
17.2
191
3.34
0.450
28.5
13.9
159
3.38
0.437
23.7
123
3.41
0.431
18.4
105
3.43
0.423
15.7
7.15
85.3
64.8
3.45
3.47
0.419
0.414
12.7
112
9.68
141
3.24
0.457
21.1
110
3.28
0.446
16.4
93.0
3.30
0.441
13.9
75.9
57.7
3.32
3.34
0.436
0.431
11.3
8.62
HSS / Round
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
8.750
Nominal Outside Diameter
Wall Thickness
0.500
Weight Per Foot
44.06
Design Wall Thickness
0.465
0.375
33.54
0.349
0.312
28.12
0.291
ERW
8.625
0.250
22.70
0.233
0.188
17.19
0.174
0.500
43.39
0.465
0.375
33.04
0.349
0.322
28.55
7.625
0.250
22.36
0.188
16.94
0.375
29.04
0.328
25.56
0.300
0.233
0.174
0.349
0.305
0.125
10.01
0.166
Effective length KL in feet
Fy = 50 ksi
0
2
3
4
5
363
356
352
347
342
276
271
268
264
260
232
227
225
222
219
187
183
181
179
176
141
138
136
135
133
357
350
346
341
336
272
267
264
260
256
236
231
228
225
222
184
181
178
176
174
139
136
134
133
131
239
234
231
227
223
210
206
203
199
196
82
80
79
78
77
6
7
8
9
10
336
331
324
318
311
256
252
247
243
237
215
212
208
204
200
174
171
168
164
161
131
129
126
124
121
330
324
318
312
305
252
248
243
238
233
218
215
211
206
202
171
168
165
162
158
129
127
124
122
119
219
214
209
204
199
192
188
184
179
175
75
74
72
71
69
11
12
13
14
15
304
296
288
280
272
232
226
221
215
208
195
190
186
181
175
157
154
150
146
142
119
116
113
110
107
298
290
282
274
266
228
222
216
210
204
197
193
188
182
177
155
151
147
143
139
117
114
111
108
105
193
187
181
174
167
170
164
159
153
147
67
65
63
61
59
16
17
18
19
20
263
254
245
235
225
202
195
188
181
174
170
164
159
153
147
137
133
128
124
119
104
100
97
94
90
257
248
239
229
219
197
191
184
176
169
171
166
160
153
147
135
130
125
121
116
102
98
95
91
88
160
153
146
138
130
141
135
128
122
115
56
54
51
49
46
21
22
23
24
25
215
205
194
183
171
166
158
150
142
133
140
134
127
120
113
114
109
103
98
92
86
82
78
74
70
209
198
187
176
164
161
153
145
137
128
141
134
127
120
112
111
105
100
95
89
84
80
76
72
68
122
113
104
96
88
107
100
92
85
78
44
41
38
35
32
26
27
28
29
30
159
148
137
128
120
124
116
107
100
94
106
98
91
85
80
86
80
75
70
65
66
61
57
53
50
152
141
131
123
115
119
111
103
96
90
105
97
90
84
79
83
77
72
67
62
63
59
55
51
48
81
76
70
65
61
72
67
62
58
54
30
28
26
24
22
31
32
33
34
35
112
105
99
93
88
88
82
77
73
69
75
70
66
62
59
61
57
54
51
48
46
44
41
39
36
107
101
95
89
84
84
79
74
70
66
74
69
65
61
58
58
55
52
49
46
45
42
39
37
35
57
54
51
48
45
51
48
45
42
40
21
20
18
17
16
36
37
38
39
40
83
79
75
71
67
65
62
58
55
53
55
52
50
47
45
45
43
41
38
37
34
33
31
29
28
80
75
71
68
64
62
59
56
53
50
55
52
49
47
44
43
41
39
37
35
33
31
30
28
27
43
40
38
36
34
38
36
34
32
30
16
15
14
13
13
12.1
9.21
7.73
6.23
4.69
9.07
7.85
6.14
4.62
7.98
7.01
2.74
PROPERTIES
Area, In.2
I, In.
4
r, In.
B, Bending Factor
a ÷ 10 6
104
2.93
0.509
15.5
81.4
2.97
0.495
12.2
69.3
56.6
43.1
2.99
3.01
3.03
0.488
0.482
0.476
8.45
6.44
10.3
11.9
99.5
2.89
0.516
14.9
113
77.8
2.93
0.503
11.6
68.1
54.1
41.3
52.9
47.1
19.3
2.95
2.97
2.99
2.58
2.59
2.66
0.497
0.489
0.482
0.575
0.567
0.541
8.08
6.17
7.90
7.03
2.88
10.2
HSS / Round
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
7.500
Nominal Outside Diameter
Wall Thickness
0.500
Weight Per Foot
37.38
Effective length KL in feet
Design Wall Thickness
ERW
0.375
28.54
0.465
0.349
0
2
3
4
5
309
302
297
292
287
6
7
8
9
10
0.312
23.95
7.000
0.250
19.36
0.188
14.68
0.291
0.233
0.174
235
230
226
223
219
198
193
190
187
184
160
156
154
151
149
120
117
116
114
112
281
275
268
261
254
214
210
205
200
194
180
176
172
168
163
146
143
139
136
132
11
12
13
14
15
246
238
229
220
211
188
182
176
169
162
159
154
148
143
137
16
17
18
19
20
202
192
182
171
160
155
148
140
133
124
21
22
23
24
25
149
137
125
115
106
26
27
28
29
30
0.500
34.71
0.465
Fy = 50 ksi
0.375
26.53
0.312
22.29
0.250
18.02
0.188
13.68
0.125
9.18
0.349
0.291
0.233
0.174
0.116
287
279
275
270
264
219
213
210
206
202
184
179
176
173
170
149
145
143
140
137
112
109
107
106
104
75
73
72
71
70
110
107
105
102
100
258
252
245
238
230
197
193
187
182
176
166
162
158
153
149
134
131
128
124
120
101
99
96
94
91
68
67
65
63
61
128
124
120
116
111
97
94
91
87
84
222
214
205
196
186
170
164
157
151
143
144
138
133
127
121
116
112
108
103
99
88
85
82
78
75
59
57
55
53
51
131
125
119
112
106
107
102
97
92
86
81
77
73
69
65
176
166
155
144
133
136
128
120
112
104
115
109
102
95
88
94
89
83
78
72
71
67
63
59
55
48
46
43
40
38
116
107
98
90
83
99
91
84
77
71
81
75
69
63
58
61
57
53
48
45
121
110
101
93
85
95
86
79
72
67
81
74
67
62
57
66
61
55
51
47
51
46
42
39
36
35
32
29
27
25
98
91
84
79
74
77
71
66
62
58
66
61
57
53
49
54
50
46
43
40
41
38
35
33
31
79
73
68
63
59
62
57
53
50
46
53
49
46
42
40
43
40
37
35
33
33
31
29
27
25
23
21
20
18
17
31
32
33
34
35
69
65
61
57
54
54
51
48
45
42
46
43
41
38
36
38
36
33
32
30
29
27
26
24
23
55
52
49
46
44
43
41
38
36
34
37
35
33
31
29
31
29
27
25
24
23
22
21
19
18
16
15
14
13
13
36
37
38
39
40
51
48
46
44
41
40
38
36
34
33
34
32
31
29
28
28
27
25
24
23
21
20
19
18
17
41
39
37
====
32
30
29
27
====
28
26
25
23
====
23
21
20
19
====
17
16
16
15
14
12
11
11
10
10
7.84
6.59
9.55
7.29
6.13
4.95
3.73
PROPERTIES
Area, In.2
I, In.
4
10.3
63.9
50.2
42.9
5.32
35.2
4.00
26.9
51.2
40.4
34.6
28.4
21.7
2.51
14.9
r, In.
2.49
2.53
2.55
2.57
2.59
2.32
2.35
2.37
2.39
2.41
2.43
B, Bending Factor
0.604
0.586
0.593
0.567
0.558
0.653
0.632
0.620
0.610
0.602
0.590
a ÷ 10 6
9.54
7.50
6.41
5.26
4.02
7.65
6.03
5.17
4.24
3.24
2.23
Note: Double Horizontal Line indicates k l/r limit of 200.
114
HSS / Round
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
Nominal Outside Diameter
Wall Thickness
6.875
0.500
Weight Per Foot
34.04
Design Wall Thickness
ERW
0.465
0.375
26.03
0.349
0.312
21.87
0.291
6.625
0.250
17.69
0.233
0.188
13.43
0.174
0.500
32.71
0.465
0.432
28.57
0.403
0.375
25.03
0.312
21.04
0.280
18.97
0.250
17.02
0.188
12.92
0.349
0.291
0.261
0.233
0.174
0.125
8.68
0.116
Effective length KL in feet
Fy = 50 ksi
Area, In.2
I, In.
4
0
2
3
4
5
281
273
269
264
258
215
209
206
202
198
181
176
173
170
167
146
142
140
137
135
110
107
105
103
101
270
263
258
253
247
236
230
226
221
217
206
201
197
194
189
174
169
166
163
159
157
152
150
147
144
140
137
134
132
129
106
103
101
100
97
71
69
68
67
65
6
7
8
9
10
252
246
239
231
224
193
189
183
178
172
163
159
154
150
145
132
128
125
121
118
99
97
94
92
89
241
234
227
220
212
211
206
199
193
186
185
180
175
169
163
156
152
147
143
138
140
137
133
129
124
126
123
119
116
112
95
93
90
87
84
64
62
61
59
57
11
12
13
14
15
216
207
198
189
179
166
160
153
146
139
140
135
129
124
118
114
109
105
100
96
86
83
79
76
73
204
195
186
176
166
179
172
164
155
147
157
150
144
137
129
133
127
122
116
110
120
115
110
105
99
108
103
99
94
89
81
78
75
71
68
55
53
51
48
46
16
17
18
19
20
169
159
148
137
125
132
124
116
107
99
112
105
98
91
84
91
86
80
75
69
69
65
61
57
53
156
145
134
123
111
138
129
119
109
99
122
114
105
97
88
103
97
90
83
75
94
88
82
75
69
84
79
74
68
62
64
60
56
52
48
43
41
38
35
32
21
22
23
24
25
113
103
95
87
80
90
82
75
69
63
77
70
64
59
54
63
58
53
48
45
48
44
40
37
34
101
92
84
77
71
90
82
75
69
63
80
73
66
61
56
68
62
57
52
48
62
57
52
48
44
56
51
47
43
40
43
39
36
33
30
29
27
25
23
21
26
27
28
29
30
74
69
64
59
56
59
54
51
47
44
50
46
43
40
38
41
38
36
33
31
32
29
27
25
24
66
61
57
53
49
59
54
50
47
44
52
48
45
42
39
45
41
38
36
33
41
38
35
33
30
37
34
32
29
28
28
26
24
23
21
19
18
17
15
14
31
32
33
34
35
52
49
46
43
41
41
39
36
34
32
35
33
31
29
28
29
27
26
24
23
22
21
20
18
17
46
43
41
38
36
41
39
36
34
32
37
34
32
30
29
31
29
28
26
25
29
27
25
24
22
26
24
23
21
20
20
19
17
16
16
14
13
12
11
11
36
37
38
39
40
39
37
====
31
29
27
====
26
25
23
====
21
20
19
18
====
16
16
15
14
====
34
====
31
====
27
26
====
23
22
====
21
20
====
19
18
====
15
14
13
====
10
9
9
====
4.86
3.66
5.79
5.22
9.36
48.3
7.16
38.2
6.02
32.7
26.8
20.6
9.00
42.9
7.88
38.3
6.88
34.0
29.1
26.5
4.68
23.9
3.53
18.4
2.37
12.6
r, In.
2.27
2.31
2.33
2.35
2.37
2.18
2.20
2.22
2.24
2.25
2.26
2.28
2.30
B, Bending Factor
0.666
0.644
0.633
0.623
0.611
0.695
0.682
0.670
0.659
0.653
0.649
0.635
0.623
a ÷ 10 6
7.21
5.70
4.88
4.00
3.08
6.41
5.72
5.08
4.35
3.96
3.57
2.75
1.88
Note: Double Horizontal Line indicates k l/r limit of 200.
115
HSS / Round
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
6.125
Nominal Outside Diameter
Wall Thickness
0.500
Weight Per Foot
30.04
Effective length KL in feet
Design Wall Thickness
ERW
0.375
23.03
0.312
19.37
6.000
0.250
15.69
0.188
11.92
0.500
29.37
0.465
0.349
0.291
0.233
0.174
0
2
3
4
5
248
241
236
231
225
190
184
181
177
172
160
155
152
149
145
129
126
123
121
118
98
95
93
91
89
243
235
230
225
219
6
7
8
9
10
218
212
204
196
188
168
163
157
151
145
141
137
133
128
123
114
111
107
104
100
86
84
81
78
75
11
12
13
14
15
180
171
161
151
141
139
132
125
118
110
118
112
106
100
94
95
91
86
81
76
16
17
18
19
20
130
119
107
96
87
102
94
85
76
69
87
80
73
66
59
21
22
23
24
25
79
72
65
60
55
63
57
52
48
44
26
27
28
29
30
51
48
44
41
38
31
32
33
34
35
36
34
32
====
0.375
22.53
0.465
0.349
Fy = 50 ksi
0.312
18.95
0.280
17.11
0.250
15.35
0.188
11.67
0.125
7.84
0.291
0.261
0.233
0.174
0.116
186
180
177
173
168
157
152
149
146
142
141
137
134
131
128
127
123
120
118
115
95
93
91
89
87
64
62
61
60
58
213
206
198
190
182
164
158
153
147
141
138
134
129
124
119
125
121
117
112
108
112
108
105
101
97
84
82
79
76
73
57
55
53
51
49
72
69
65
62
58
173
164
154
144
134
134
127
120
113
105
114
108
102
96
89
103
98
92
87
81
92
88
83
78
73
70
67
63
59
56
47
45
43
40
38
71
65
59
54
48
54
50
46
41
37
123
111
99
89
81
97
88
79
71
64
83
76
68
61
55
75
69
62
56
50
68
62
56
50
46
52
47
43
39
35
35
32
30
27
24
54
49
45
41
38
44
40
37
34
31
34
31
28
26
24
73
67
61
56
52
58
53
49
45
41
50
46
42
38
35
46
42
38
35
32
41
38
34
32
29
32
29
26
24
22
22
20
18
17
15
41
38
35
33
31
35
32
30
28
26
29
27
25
23
21
22
20
19
18
17
48
44
41
38
36
38
35
33
31
29
33
30
28
26
25
30
28
26
24
22
27
25
23
22
20
21
19
18
17
16
14
13
12
11
11
29
27
25
24
====
25
23
22
20
====
20
19
18
17
====
15
15
14
13
12
====
34
31
====
27
25
24
====
23
22
20
====
21
20
18
====
19
18
17
16
====
15
14
13
12
====
10
9
9
8
====
6.33
5.33
3.18
2.14
36
37
38
39
40
PROPERTIES
Area, In.2
I, In.
4
8.27
33.3
26.5
r, In.
2.01
B, Bending Factor
0.761
0.732
a ÷ 10 6
4.97
3.96
22.7
2.05
2.07
4.31
18.7
3.25
14.4
8.09
31.2
6.20
24.8
5.22
21.3
4.71
19.4
4.22
17.6
13.5
9.28
2.08
2.10
1.96
2.00
2.02
2.03
2.04
2.06
2.08
0.719
0.706
0.691
0.778
0.750
0.735
0.728
0.719
0.707
0.692
3.39
2.79
2.15
4.66
3.70
3.18
2.90
2.63
2.02
1.39
Note: Double Horizontal Line indicates k l/r limit of 200.
116
HSS / Round
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
Nominal Outside Diameter
Wall Thickness
5.563
0.375
Weight Per Foot
20.78
0.258
14.62
5.500
0.188
0.134
10.79
Design Wall Thickness
0.349
0.241
0.174
0
2
3
4
5
172
166
162
158
154
121
117
114
112
108
6
7
8
9
10
149
143
138
132
125
11
12
13
14
15
Effective length KL in feet
ERW
7.77
0.500
26.70
0.375
20.53
0.258
14.44
0.125
Fy = 50 ksi
0.465
0.349
0.241
89
86
84
82
80
64
62
61
59
58
221
213
208
203
197
170
164
160
156
151
119
115
113
110
107
105
101
97
93
89
77
75
72
69
66
56
54
52
50
48
190
183
175
167
158
146
141
135
129
123
104
100
96
92
87
118
111
104
96
88
84
79
74
69
63
62
59
55
51
47
45
43
40
37
34
149
139
129
118
107
116
109
101
93
85
83
78
73
67
61
16
17
18
19
20
79
70
63
56
51
57
51
46
41
37
43
39
34
31
28
31
28
25
23
20
96
85
75
68
61
77
68
61
54
49
56
49
44
40
36
21
22
23
24
25
46
42
38
35
32
33
31
28
26
24
25
23
21
19
18
19
17
15
14
13
55
51
46
42
39
44
41
37
34
31
32
30
27
25
23
26
27
28
29
30
30
28
26
24
23
====
22
20
19
18
16
17
15
14
13
12
12
11
10
10
9
36
34
31
29
====
29
27
25
23
22
====
21
20
18
17
16
15
====
12
====
9
8
====
31
32
33
34
35
15
====
36
37
38
39
40
PROPERTIES
Area, In.2
I, In.
4
5.72
19.5
4.03
14.3
2.95
2.14
10.7
7.90
7.36
23.5
5.65
18.8
3.98
13.8
r, In.
1.85
1.88
1.91
1.92
1.79
1.83
1.86
B, Bending Factor
0.816
0.784
0.767
0.753
0.861
0.826
0.793
a ÷ 10 6
2.91
2.14
1.60
1.18
3.51
2.81
2.06
Note: Double Horizontal Line indicates k l/r limit of 200.
117
HSS / Round
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
5.000
Nominal Outside Diameter
Wall Thickness
0.500
Weight Per Foot
24.03
Effective length KL in feet
Design Wall Thickness
ERW
0.375
18.52
0.312
15.62
0.258
13.07
4.500
0.250
12.68
0.188
0.125
9.66
6.51
0.337
14.98
0.237
10.79
0.188
0.125
8.66
5.84
0.174
0.116
0.465
0.349
0.291
0.241
0.233
0.174
Fy = 50 ksi
0.116
0.315
0.221
0
2
3
4
5
199
191
186
180
174
153
147
143
139
134
129
124
121
117
113
108
104
101
98
95
105
101
98
95
92
79
76
74
72
70
53
51
50
49
47
124
119
115
111
107
89
85
83
80
77
71
68
66
64
61
48
46
45
43
42
6
7
8
9
10
167
159
151
142
133
129
123
117
111
104
109
105
100
94
89
92
88
84
79
74
89
85
81
77
72
67
65
62
59
55
46
44
42
40
37
102
96
91
84
78
73
70
66
61
57
59
56
52
49
46
40
38
36
34
31
11
12
13
14
15
123
113
102
91
79
97
89
81
73
64
83
76
70
63
55
69
64
59
53
47
68
63
57
52
46
52
48
44
40
36
35
33
30
27
24
71
63
56
48
42
52
47
41
36
31
42
38
34
29
25
29
26
23
20
18
16
17
18
19
20
70
62
55
49
44
56
50
44
40
36
49
43
38
34
31
41
36
33
29
26
40
36
32
29
26
31
28
25
22
20
22
19
17
15
14
37
33
29
26
24
27
24
22
19
18
22
20
18
16
14
16
14
12
11
10
21
22
23
24
25
40
37
34
31
28
33
30
27
25
23
28
26
24
22
20
24
22
20
18
17
23
21
20
18
17
18
17
15
14
13
13
11
10
10
9
21
19
18
16
====
16
15
13
12
11
====
13
12
11
10
9
====
9
8
8
7
6
====
26
27
28
29
30
26
====
21
20
====
18
17
====
16
14
13
====
15
14
13
====
12
11
10
====
8
8
7
====
3.49
2.64
1.78
4.14
2.97
2.36
1.60
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
I, In.
4
6.62
17.2
5.10
13.9
4.30
12.0
3.60
9.94
7.69
5.31
9.12
6.82
5.54
3.84
r, In.
1.61
1.65
1.67
10.2
1.68
1.69
1.71
1.73
1.48
1.51
1.53
1.55
B, Bending Factor
0.962
0.917
0.896
0.882
0.878
0.858
0.838
1.02
0.980
0.958
0.938
a ÷ 10 6
2.57
2.08
1.79
1.52
1.48
1.15
0.793
1.36
1.02
0.827
0.573
Note: Double Horizontal Line indicates k l/r limit of 200.
118
HSS / Round
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
Nominal Outside Diameter
Wall Thickness
4.000
0.337
Weight Per Foot
13.18
Design Wall Thickness
ERW
0.315
0.313
12.33
0.291
0.250
10.01
0.233
0.237
0.226
0.220
0.188
0.125
9.52
9.11
8.88
7.65
5.17
0.211
0.205
0.174
0.116
0.221
Effective length KL in feet
Fy = 50 ksi
0
2
3
4
5
110
104
100
96
91
102
97
93
89
85
83
79
76
73
69
79
75
72
69
66
75
72
69
66
63
73
70
67
64
61
63
60
58
55
53
43
41
39
38
36
6
7
8
9
10
86
80
74
68
61
80
75
69
63
57
65
61
57
52
47
62
58
54
49
45
60
56
52
47
43
58
54
50
46
42
50
47
43
40
36
34
32
30
27
25
11
12
13
14
15
53
45
38
33
29
50
43
36
31
27
41
35
30
26
23
39
34
29
25
22
38
32
28
24
21
37
32
27
23
20
32
27
23
20
18
22
19
16
14
12
16
17
18
19
20
25
22
20
18
16
24
21
19
17
15
20
18
16
14
13
19
17
15
14
12
18
16
14
13
12
18
16
14
13
11
15
14
12
11
10
11
10
9
8
7
21
22
23
24
25
15
====
14
13
====
11
10
====
11
10
====
11
10
====
10
9
====
9
8
====
6
6
====
3.65
3.39
2.76
2.62
2.51
2.44
2.09
1.42
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
I, In.
4
6.24
5.87
4.91
4.70
4.52
4.41
3.83
2.67
r, In.
1.31
1.32
1.33
1.34
1.34
1.34
1.35
1.37
B, Bending Factor
1.17
1.16
1.12
1.11
1.11
1.11
1.09
1.06
a ÷ 10 6
0.932
0.877
0.733
0.702
0.675
0.659
0.572
0.399
Note: Double Horizontal Line indicates k l/r limit of 200.
119
HSS / Round
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
Nominal Outside Diameter
Wall Thickness
3.500
0.313
Weight Per Foot
10.65
Design Wall Thickness
ERW
0.300
10.25
0.291
0.280
0.250
0.216
0.203
0.188
0.125
8.68
7.58
7.15
6.65
4.51
0.201
0.189
0.174
0.116
0.233
Effective length KL in feet
Fy = 50 ksi
0
2
3
4
5
88
83
79
75
70
85
80
76
72
68
72
67
65
61
58
62
59
56
53
50
59
56
53
51
48
55
51
49
47
44
37
35
33
32
30
6
7
8
9
10
65
59
53
47
39
63
57
51
45
38
53
49
44
39
33
47
43
39
34
29
44
41
37
32
28
41
38
34
30
26
28
26
23
21
18
11
12
13
14
15
33
27
23
20
18
32
26
23
19
17
28
23
20
17
15
24
21
17
15
13
23
19
17
14
12
22
18
16
13
12
15
13
11
9
8
16
17
18
19
20
15
14
12
11
====
15
13
12
11
====
13
12
10
9
====
12
10
9
8
====
11
10
9
8
====
10
9
8
7
====
7
6
6
5
5
====
2.93
2.83
2.39
2.08
1.97
1.82
1.23
3.81
3.70
3.21
2.84
2.70
2.52
1.77
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
I, In.
4
1.14
1.14
1.16
1.17
1.17
1.18
1.20
r, In.
1.35
1.34
1.30
1.28
1.28
1.26
1.19
B, Bending Factor
0.569
0.553
0.479
0.424
0.403
0.376
0.264
a ÷ 10 6
Note: Double Horizontal Line indicates k l/r limit of 200.
120
HSS / Round
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
ERW
3.000
Nominal Outside Diameter
2.875
Wall Thickness
0.300
0.250
0.216
0.203
0.188
0.152
0.134
0.120
0.250
0.203
0.188
0.125
Weight Per Foot
8.65
7.34
6.42
6.06
5.65
4.62
4.10
3.69
7.01
5.79
5.40
3.67
Design Wall Thickness
0.280
0.233
0.201
0.189
0.174
0.142
0.125
0.112
0.233
0.189
0.174
0.116
Effective length KL in feet
Fy = 50 ksi
0
2
3
4
5
72
66
63
58
53
61
56
53
50
46
53
49
47
44
40
50
47
44
41
38
46
43
41
38
35
38
35
34
31
29
34
32
30
28
26
31
28
27
25
23
58
53
50
47
43
48
44
42
39
35
44
41
39
36
33
30
28
27
25
23
6
7
8
9
10
48
42
36
29
23
41
36
31
25
20
36
32
27
22
18
34
30
26
21
17
32
28
24
20
16
26
23
20
17
13
24
21
18
15
12
21
19
16
14
11
38
33
27
22
18
32
28
23
18
15
30
26
22
17
14
20
18
15
12
10
11
12
13
14
15
19
16
14
12
10
17
14
12
10
9
15
13
11
9
8
14
12
10
9
8
13
11
9
8
7
11
9
8
7
6
10
8
7
6
5
9
8
7
6
5
15
12
10
9
8
====
12
10
9
8
7
====
12
10
8
7
6
====
8
7
6
5
4
16
17
18
19
20
9
====
8
====
7
====
7
====
6
====
5
====
5
4
====
4
4
====
2.39
2.03
1.77
1.67
4
====
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
1.54
1.27
1.13
1.02
1.93
1.59
1.48
1.01
2.24
1.95
1.74
1.66
1.55
1.30
1.17
1.06
1.70
1.45
1.35
0.958
r, In.
0.967
0.982
0.992
0.996
1.00
1.01
1.02
1.02
0.938
0.952
0.957
0.976
B, Bending Factor
1.60
1.56
1.53
1.51
1.49
1.47
1.45
1.44
1.63
1.58
1.58
1.52
a ÷ 10 6
0.335
0.291
0.260
0.248
0.231
0.194
0.175
0.158
0.254
0.217
0.202
0.143
I, In.
4
Note: Double Horizontal Line indicates k l/r limit of 200.
121
HSS / Round
Structural Steel Tubing
Fy=50
Allowable Concentric Loads in Kips
Nominal Outside Diameter
2.500
ERW
2.375
1.900
1.660
Wall Thickness
0.250
0.188
0.125
0.250
0.218
0.188
0.154
0.125
0.145
0.140
Weight Per Foot
6.01
4.64
3.17
5.67
5.02
4.39
3.65
3.00
2.72
2.27
Design Wall Thickness
0.233
0.174
0.116
0.233
0.204
0.174
0.143
0.116
0.135
0.130
Effective length KL in feet
Fy = 50 ksi
0
2
3
4
5
50
45
42
38
33
38
35
32
29
26
26
24
22
20
18
47
42
39
35
30
42
38
35
31
27
36
32
30
27
24
30
27
25
23
20
25
22
21
19
16
23
20
17
15
12
19
16
13
11
8
6
7
8
9
10
28
23
17
14
11
22
18
14
11
9
16
13
10
8
6
25
19
15
12
9
23
17
13
11
9
20
15
12
9
8
17
13
10
8
6
14
11
9
7
5
8
6
5
4
3
====
5
4
3
2
====
11
12
13
14
15
9
8
7
====
7
6
5
====
5
4
4
3
====
8
7
====
7
6
====
6
5
4
====
5
5
4
====
4
4
3
====
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
PROPERTIES
Area, In.2
I, In.
4
1.66
1.27
0.87
1.57
1.39
1.20
1.00
0.82
0.75
0.62
1.08
0.865
0.619
0.910
0.827
0.733
0.627
0.527
0.293
0.184
r, In.
0.806
0.825
0.844
0.762
0.771
0.781
0.791
0.800
0.626
0.543
B, Bending Factor
1.92
1.84
1.76
2.05
2.00
1.94
1.89
1.85
2.43
2.80
a ÷ 10 6
0.161
0.129
0.092
0.136
0.123
0.109
0.094
0.079
0.044
0.027
Note: Double Horizontal Line indicates k l/r limit of 200.
122
HSS / Structural Steel Tubing
NOTES
123
HSS / Structural Steel Tubing
Allowable Stresses for Compression Members
Fy = 42 ksi
minimum specified yield stress steel
Fy= 46 ksi
minimum specified yield stress steel
Kl
r
Fa
(ksi)
Kl
r
Fa
(ksi)
Kl
r
Fa
(ksi)
Kl
r
Fa
(ksi)
Kl
r
Fa
(ksi)
Kl
r
Fa
(ksi)
Kl
r
Fa
(ksi)
Kl
r
Fa
(ksi)
1
2
3
4
5
25.15
25.10
25.05
24.99
24.94
51
52
53
54
55
20.87
20.76
20.64
20.52
20.40
101
102
103
104
105
13.76
13.59
13.42
13.25
13.08
151
152
153
154
155
6.55
6.46
6.38
6.30
6.22
1
2
3
4
5
27.54
27.48
27.42
27.36
27.30
51
52
53
54
55
22.56
22.42
22.28
22.14
22.00
101
102
103
104
105
14.19
13.99
13.79
13.58
13.38
151
152
153
154
155
6.55
6.46
6.38
6.30
6.22
6
7
8
9
10
24.88
24.82
24.76
24.70
24.63
56
57
58
59
60
20.28
20.16
20.03
19.91
19.79
106
107
108
109
110
12.90
12.73
12.55
12.37
12.19
156
157
158
159
160
6.14
6.06
5.98
5.91
5.83
6
7
8
9
10
27.23
27.16
27.09
27.02
26.95
56
57
58
59
60
21.86
21.72
21.57
21.43
21.28
106
107
108
109
110
13.17
12.96
12.75
12.54
12.33
156
157
158
159
160
6.14
6.06
5.98
5.91
5.83
11
12
13
14
15
24.57
24.50
24.43
24.36
24.29
61
62
63
64
65
19.66
19.53
19.40
19.27
19.14
111
112
113
114
115
12.01
11.83
11.65
11.47
11.28
161
162
163
164
165
5.76
5.69
5.62
5.55
5.49
11
12
13
14
15
26.87
26.79
26.72
26.63
26.55
61
62
63
64
65
21.13
20.98
20.83
20.68
20.53
111
112
113
114
115
12.12
11.90
11.69
11.49
11.29
161
162
163
164
165
5.76
5.69
5.62
5.55
5.49
16
17
18
19
20
24.22
24.15
24.07
24.00
23.92
66
67
68
69
70
19.01
18.88
18.75
18.61
18.48
116
117
118
119
120
11.10
10.91
10.72
10.55
10.37
166
167
168
169
170
5.42
5.35
5.29
5.23
5.17
16
17
18
19
20
26.47
26.38
26.29
26.21
26.11
66
67
68
69
70
20.37
20.22
20.06
19.90
19.74
116
117
118
119
120
11.10
10.91
10.72
10.55
10.37
166
167
168
169
170
5.42
5.35
5.29
5.23
5.17
21
22
23
24
25
23.84
23.76
23.68
23.59
23.51
71
72
73
74
75
18.34
18.20
18.06
17.92
17.78
121
122
123
124
125
10.20
10.03
9.87
9.71
9.56
171
172
173
174
175
5.11
5.05
4.99
4.93
4.88
21
22
23
24
25
26.02
25.93
25.83
25.73
25.64
71
72
73
74
75
19.58
19.42
19.26
19.10
18.93
121
122
123
124
125
10.20
10.03
9.87
9.71
9.56
171
172
173
174
175
5.11
5.05
4.99
4.93
4.88
26
27
28
29
30
23.42
23.33
23.24
23.15
23.06
76
77
78
79
80
17.64
17.50
17.35
17.21
17.06
126
127
128
129
130
9.41
9.26
9.11
8.97
8.84
176
177
178
179
180
4.82
4.77
4.71
4.66
4.61
26
27
28
29
30
25.54
25.43
25.33
25.23
25.12
76
77
78
79
80
18.76
18.60
18.43
18.26
18.08
126
127
128
129
130
9.41
9.26
9.11
8.97
8.84
176
177
178
179
180
4.82
4.77
4.71
4.66
4.61
31
32
33
34
35
22.97
22.88
22.78
22.69
22.59
81
82
83
84
85
16.92
16.77
16.62
16.47
16.32
131
132
133
134
135
8.70
8.57
8.44
8.32
8.19
181
182
183
184
185
4.56
4.51
4.46
4.41
4.36
31
32
33
34
35
25.01
24.90
24.79
24.68
24.56
81
82
83
84
85
17.91
17.74
17.56
17.39
17.21
131
132
133
134
135
8.70
8.57
8.44
8.32
8.19
181
182
183
184
185
4.56
4.51
4.46
4.41
4.36
36
37
38
39
40
22.49
22.39
22.29
22.19
22.08
86
87
88
89
90
16.17
16.01
15.86
15.71
15.55
136
137
138
139
140
8.07
7.96
7.84
7.73
7.62
186
187
188
189
190
4.32
4.27
4.23
4.18
4.14
36
37
38
39
40
24.45
24.33
24.21
24.10
23.97
86
87
88
89
90
17 03
16.85
16.67
16.48
16.30
136
137
138
139
140
8.07
7.96
7.84
7.73
7.62
186
187
188
189
190
4.32
4.27
4.23
4.18
4.14
41
42
43
44
45
21.98
21.87
21.77
21.66
21.55
91
92
93
94
95
15.39
15.23
15.07
14.91
14.75
141
142
143
144
145
7.51
7.41
7.30
7.20
7.10
191
192
193
194
195
4.09
4.05
4.01
3.97
3.93
41
42
43
44
45
23.85
23.73
23.60
23.48
23.35
91
92
93
94
95
16.12
15.93
15.74
15.55
15.36
141
142
143
144
145
7.51
7.41
7.30
7.20
7.10
1 91
1 92
1 93
1 94
1 95
4.09
4.05
4.01
3.97
3.93
46
47
48
49
50
21.44
21.33
21.22
21.10
20.99
96
97
98
99
100
14.59
14.43
14.26
14.09
13.93
146
147
148
149
150
7.01
6.91
6.82
6.73
6.64
196
197
198
199
200
3.89
3.85
3.81
3.77
3.73
46
47
48
49
50
23.22
23.09
22.96
22.83
22.69
96
97
98
99
100
15.17
14.97
14.78
14.58
14.39
146
147
148
149
150
7.01
6.91
6.82
6.73
6.64
1 96
1 97
198
199
200
3.89
3.85
3.81
3.77
3.73
Note: CC=116.7
Note: CC=111.6
124
HSS / Structural Steel Tubing
Allowable Stresses for Compression Members
Fy= 50 ksi
minimum specified yield stress steel
Fy= 60 ksi
minimum specified yield stress steel
Kl
r
Fa
(ksi)
Kl
r
Fa
(ksi)
Kl
r
Fa
(ksi)
Kl
r
Fa
(ksi)
Kl
r
Fa
(ksi)
Kl
r
Fa
(ksi)
Kl
r
Fa
(ksi)
Kl
r
Fa
(ksi)
1
2
3
4
5
29.94
29.87
29.80
29.73
29.66
51
52
53
54
55
24.19
24.04
23.88
23.72
23.55
101
102
103
104
105
14.47
14.24
14.00
13.77
13.53
151
152
153
154
155
6.55
6.46
6.38
6.30
6.22
1
2
3
4
5
35.92
35.83
35.74
35.64
35.54
51
52
53
54
55
28.09
27.87
27.66
27.43
27.21
101
102
103
104
105
14.64
14.35
14.08
13.81
13.54
151
152
153
154
155
6.55
6.46
6.38
6.30
6.22
6
7
8
9
10
29.58
29.50
29.42
29.34
29.26
56
57
58
59
60
23.39
23.22
23.06
22.89
22.72
106
107
108
109
110
13.29
13.04
12.80
12.57
12.34
156
157
158
159
160
6.14
6.06
5.98
5.91
5.83
6
7
8
9
10
35.44
35.34
35.23
35.12
35.01
56
57
58
59
60
26.98
26.76
26.53
26.29
26.06
106
107
108
109
110
13.29
13.04
12.80
12.57
12.34
156
157
158
159
160
6.14
6.06
5.98
5.91
5.83
11
12
13
14
15
29.17
29.08
28.99
28.90
28.80
61
62
63
64
65
22.55
22.37
22.20
22.02
21.85
111
112
113
114
115
12.12
11.90
11.69
11.49
11.29
161
162
163
164
165
5.76
5.69
5.62
5.55
5.49
11
12
13
14
15
34.89
34.77
34.65
34.52
34.40
61
62
63
64
65
25.82
25.58
25.34
25.10
24.86
111
112
113
114
115
12.12
11.90
11.69
11.49
11.29
161
162
163
164
165
5.76
5.69
5.62
5.55
5.49
16
17
18
19
20
28.71
28.61
28.51
28.40
28.30
66
67
68
69
70
21.67
21.49
21.31
21.12
20.94
116
117
118
119
120
11.10
10.91
10.72
10.55
10.37
166
167
168
169
170
5.42
5.35
5.29
5.23
5.17
16
17
18
19
20
34.27
34.13
34.00
33.86
33.71
66
67
68
69
70
24.61
24.36
24.11
23.86
23.60
116
117
118
119
120
11.10
10.91
10.72
10.55
10.37
166
167
168
169
170
5.42
5.35
5.29
5.23
5.17
21
22
23
24
25
28.19
28.08
27.97
27.86
27.75
71
72
73
74
75
20.75
20.56
20.38
20.19
19.99
121
122
123
124
125
10.20
10.03
9.87
9.71
9.56
171
172
173
174
175
5.11
5.05
4.99
4.93
4.88
21
22
23
24
25
33.57
33.42
33.27
33.12
32.96
71
72
73
74
75
23.34
23.08
22.82
22.56
22.29
121
122
123
124
125
10.20
10.03
9.87
9.71
9.56
171
172
173
174
175
5.11
5.05
4.99
4.93
4.88
26
27
28
29
30
27.63
27.52
27.40
27.28
27.15
76
77
78
79
80
19.80
19.61
19.41
19.21
19.01
126
127
128
129
130
9.41
9.26
9.11
8.97
8.84
176
177
178
179
180
4.82
4.77
4.71
4.66
4.61
26
27
28
29
30
32.81
32.65
32.48
32.32
32.15
76
77
78
79
80
22.02
21.75
21.48
21.21
20.93
126
127
128
129
130
9.41
9.26
9.11
8.97
8.84
176
177
178
179
180
4.82
4.77
4.71
4.66
4.61
31
32
33
34
35
27.03
26.90
26.77
26.64
26.51
81
82
83
84
85
18.81
18.61
18.41
18.20
17.99
131
132
133
134
135
8.70
8.57
8.44
8.32
8.19
181
182
183
184
185
4.56
4.51
4.46
4.41
4.36
31
32
33
34
35
31.98
31.81
31.63
31.45
31.28
81
82
83
84
85
20.65
20.37
20.09
19.80
19.51
131
132
133
134
135
8.70
8.57
8.44
8.32
8.19
181
182
183
184
185
4.56
4.51
4.46
4.41
4.36
36
37
38
39
40
26.38
26.25
26.11
25.97
25.83
86
87
88
89
90
17.79
17.58
17.37
17.15
16.94
136
137
138
139
140
8.07
7.96
7.84
7.73
7.62
186
187
188
189
190
4.32
4.27
4.23
4.18
4.14
36
37
38
39
40
31.09
30.91
30.72
30.53
30.34
86
87
88
89
90
19.22
18.93
18.63
18.34
18.04
136
137
138
139
140
8.07
7.96
7.84
7.73
7.62
186
187
188
189
190
4.32
4.27
4.23
4.18
4.14
41
42
43
44
45
25.69
25.55
25.40
25.26
25.11
91
92
93
94
95
16.72
16.50
16.29
16.06
15.84
141
142
143
144
145
7.51
7.41
7.30
7.20
7.10
191
192
193
194
195
4.09
4.05
4.01
3.97
3.39
41
42
43
44
45
30.15
29.95
29.75
29.55
29.35
91
92
93
94
95
17.73
17.43
17.12
16.81
16.50
141
142
143
144
145
7.51
7.41
7.30
7.20
7.10
191
1 92
1 93
1 94
1 95
4.09
4.05
4.01
3.97
3.93
46
47
48
49
50
24.96
24.81
24.66
24.51
24.35
96
97
98
99
100
15.62
15.39
15.17
14.94
14.71
146
147
148
149
150
7.01
6.91
6.82
6.73
6.64
196
197
198
199
200
3.89
3.85
3.81
3.77
3.73
46
47
48
49
50
29.15
28.94
28.73
28.52
28.31
96
97
98
99
100
16.19
15.87
15.55
15.24
14.93
146
147
148
149
150
7.01
6.91
6.82
6.73
6.64
1 96
1 97
1 98
1 99
200
3.89
3.85
3.81
3.77
3.73
Note: CC=107.0
Note: CC=97.7
125
HSS / Structural Steel Tubing
Allowable Stresses for Compression Members
Fy= 65 ksi
minimum specified yield stress steel
Fy= 70 ksi
minimum specified yield stress steel
Kl
r
Fa
(ksi)
Kl
r
Fa
(ksi)
Kl
r
Fa
(ksi)
Kl
r
Fa
(ksi)
Kl
r
Fa
(ksi)
Kl
r
Fa
(ksi)
Kl
r
Fa
(ksi)
Kl
r
Fa
(ksi)
1
2
3
4
5
38.90
38.81
38.70
38.59
38.48
51
52
53
54
55
29.94
29.69
29.44
29.18
28.92
101
102
103
104
105
14.64
14.35
14.08
13.81
13.54
151
152
153
154
155
6.55
6.46
6.38
6.30
6.22
1
2
3
4
5
41.89
41.78
41.67
41.55
41.42
51
52
53
54
55
31.72
31.44
31.15
30.86
30.56
101
102
103
104
105
14.64
14.35
14.08
13.81
13.54
151
152
153
154
155
6.55
6.46
6.38
6.30
6.22
6
7
8
9
10
38.37
38.25
38.13
38.00
37.87
56
57
58
59
60
28.66
28.40
28.14
27.87
27.60
106
107
108
109
110
13.29
13.04
12.80
12.57
12.34
156
157
158
159
160
6.14
6.06
5.98
5.91
5.83
6
7
8
9
10
41.29
41.16
41.02
40.88
40.73
56
57
58
59
60
30.27
29.97
29.67
29.36
29.05
106
107
108
109
110
13.29
13.04
12.80
12.57
12.34
156
157
158
159
160
6.14
6.06
5.98
5.91
5.83
11
12
13
14
15
37.74
37.61
37.47
37.32
37.18
61
62
63
64
65
27.33
27.05
26.78
26.50
26.21
111
112
113
114
115
12.12
11.90
11.69
11.49
11.29
161
162
163
164
165
5.76
5.69
5.62
5.55
5.49
11
12
13
14
15
40.58
40.43
40.27
40.11
39.95
61
62
63
64
65
28.74
28.43
28.11
27.79
27.47
111
112
113
114
115
12.12
11.90
11.69
11.49
11.29
161
162
163
164
165
5.76
5.69
5.62
5.55
5.49
16
17
18
l9
20
37.03
36.87
36.72
36.56
36.40
66
67
68
69
70
25.93
25.64
25.35
25.06
24.76
116
117
118
119
120
11.10
10.91
10.72
10.55
10.37
166
167
168
169
170
5.42
5.35
5.29
5.23
5.17
16
17
18
19
20
39.78
39.60
39.43
39.25
39.06
66
67
68
69
70
27.15
26.82
26.49
26.16
25.82
116
117
118
119
120
11.10
10.91
10.72
10.55
10.37
166
167
168
169
170
5.42
5.35
5.29
5.23
5.17
21
22
23
24
25
36.23
36.06
35.89
35.71
35.54
71
72
73
74
75
24.47
24.17
23.87
23.56
23.25
121
122
123
124
125
10.20
10.03
9.87
9.71
9.56
171
172
173
174
175
5.11
5.05
4.99
4.93
4.88
21
22
23
24
25
38.87
38.68
38.49
38.29
38.09
71
72
73
74
75
25.48
25.14
24.79
24.44
24.09
121
122
123
124
125
10.20
10.03
9.87
9.71
9.56
171
172
173
174
175
5.11
5.05
4.99
4.93
4.88
26
27
28
29
30
35.36
35.17
34.99
34.80
34.60
76
77
78
79
80
22.94
22.63
22.32
22.00
21.68
126
127
128
129
130
9.41
9.26
9.11
8.97
8.84
176
177
178
179
180
4.82
4.77
4.71
4.66
4.61
26
27
28
29
30
37.88
37.67
37.46
37.25
37.03
76
77
78
79
80
23.74
23.38
23.02
22.65
22.29
126
127
128
129
130
9.41
9.26
9.11
8.97
8.84
176
177
178
179
180
4.82
4.77
4.71
4.66
4.61
31
32
33
34
35
34.41
34.21
34.01
33.81
33.60
81
82
83
84
85
21.36
21.03
20.70
20.37
20.04
131
132
133
134
135
8.70
8.57
8.44
8.32
8.19
181
182
183
184
185
4.56
4.51
4.46
4.41
4.36
31
32
33
34
35
36.80
36.58
36.35
36.12
35.89
81
82
83
84
85
21.92
21.54
21.17
20.79
20.40
131
132
133
134
135
8.70
8.57
8.44
8.32
8.19
181
182
183
184
185
4.56
4.51
4.46
4.41
4.36
36
37
38
39
40
33.39
33.18
32.96
32.75
32.53
86
87
88
89
90
19.70
19.36
19.02
18.67
18.32
136
137
138
139
140
8.07
7.96
7.84
7.73
7.62
186
187
188
189
190
4.32
4.27
4.23
4.18
4.14
36
37
38
39
40
35.65
35.41
35.16
34.92
34.67
86
87
88
89
90
20.02
19.63
19.23
18.83
18.43
136
137
138
139
140
8.07
7.96
7.84
7.73
7.62
186
187
188
189
190
4.32
4.27
4.23
4.18
4.14
41
42
43
44
45
32.30
32.08
31.85
31.62
31.39
91
92
93
94
95
17.97
17.62
17.26
16.90
16.55
141
142
143
144
145
7.51
7.41
7.30
7.20
7.10
191
192
193
194
195
4.09
4.05
4.01
3.97
3.93
41
42
43
44
45
34.41
34.16
33.90
33.64
33.37
91
92
93
94
95
18.03
17.64
17.27
16.90
16.55
141
142
143
144
145
7.51
7.41
7.30
7.20
7.10
191
1 92
1 93
1 94
1 95
4.09
4.05
4.01
3.97
3.93
46
47
48
49
50
31.35
30.92
30.68
30.43
30.19
96
97
98
99
100
16.20
15.87
15.55
15.24
14.93
146
147
148
149
150
7.01
6.91
6.82
6.73
6.64
196
197
198
199
200
3.89
3.85
3.81
3.77
3.73
46
47
48
49
50
33.10
32.83
32.56
32.28
32.00
96
97
98
99
100
16.20
15.87
15.55
15.24
14.93
146
147
148
149
150
7.01
6.91
6.82
6.73
6.64
1 96
1 97
1 98
1 99
200
3.89
3.85
3.81
3.77
3.73
Note: CC=93.8
Note: CC=90.4
126
127
OF NORTH AMERICA
Steel Tube Institute of North America, 8500 Station Street, Suite 270,
Mentor, Ohio 44060 • Tel: (440) 974-6990 • Fax: (440) 974-6994
E-mail: sti@apk.net
American
Iron and Steel
Institute
18M 7/97