E
Properties of
Structural-Steel
Shapes
In the following tables, the properties of a few structural-steel shapes are
presented as an aid to the reader in solving problems in the text. These
tables were compiled from the extensive tables in the Manual of Steel
Construction, published by the American Institute of Steel Construction,
Inc. (Ref. 5-4).
Notation:
I moment of inertia
S section modulus
r
I/A radius of gyration
972
APPENDIX E Properties of Structural-Steel Shapes
973
2
1
1
2
TABLE E-1(a) PROPERTIES OF WIDE-FLANGE SECTIONS (W SHAPES) – USCS UNITS
(ABRIDGED LIST)
Designation
Weight
per
foot
Area
lb
Flange
Axis 1-1
Axis 2-2
Depth
Web
thickness
Width
Thickness
I
S
r
I
S
r
in.2
in.
in.
in.
in.
in.4
in.3
in.
in.4
in.3
in.
W 30
W 30
211
132
211
132
62.2
38.9
30.9
30.3
0.775
0.615
15.1
10.5
1.32
1.00
10300
5770
665
380
12.9
12.2
757
196
100
37.2
3.49
2.25
W 24
W 24
162
94
162
94.0
47.7
27.7
25.0
24.3
0.705
0.515
13.0
9.07
1.22
0.875
5170
2700
414
222
10.4
9.87
443
109
68.4
24.0
3.05
1.98
W 18
W 18
119
71
119
71.0
35.1
20.8
19.0
18.5
0.655
0.495
11.3
7.64
1.06
0.810
2190
1170
231
127
7.90
7.50
253
60.3
44.9
15.8
2.69
1.70
W
W
W
W
16
16
16
16
100
77
57
31
100
77.0
57.0
31.0
29.5
22.6
16.8
9.13
17.0
16.5
16.4
15.9
0.585
0.455
0.430
0.275
10.4
10.3
7.12
5.53
0.985
0.760
0.715
0.440
1490
1110
758
375
175
134
92.2
47.2
7.10
7.00
6.72
6.41
186
138
43.1
12.4
35.7
26.9
12.1
4.49
2.51
2.47
1.60
1.17
W
W
W
W
14
14
14
14
120
82
53
26
120
82.0
53.0
26.0
35.3
24.0
15.6
7.69
14.5
14.3
13.9
13.9
0.590
0.510
0.370
0.255
14.7
10.1
8.06
5.03
0.940
0.855
0.660
0.420
1380
881
541
245
190
123
77.8
35.3
6.24
6.05
5.89
5.65
495
148
57.7
8.91
67.5
29.3
14.3
3.55
3.74
2.48
1.92
1.08
W
W
W
W
12
12
12
12
87
50
35
14
87.0
50.0
35.0
14.0
25.6
14.6
10.3
4.16
12.5
12.2
12.5
11.9
0.515
0.370
0.300
0.200
12.1
8.08
6.56
3.97
0.810
0.640
0.520
0.225
740
391
285
88.6
118
64.2
45.6
14.9
5.38
5.18
5.25
4.62
241
56.3
24.5
2.36
39.7
13.9
7.47
1.19
3.07
1.96
1.54
0.753
W
W
W
W
10
10
10
10
60
45
30
12
60.0
45.0
30.0
12.0
17.6
13.3
8.84
3.54
10.2
10.1
10.5
9.87
0.420
0.350
0.300
0.190
10.1
8.02
5.81
3.96
0.680
0.620
0.510
0.210
341
248
170
53.8
66.7
49.1
32.4
10.9
4.39
4.32
4.38
3.90
116
53.4
16.7
2.18
23.0
13.3
5.75
1.10
2.57
2.01
1.37
0.785
W
W
W
W
8
8
8
8
35.0
28.0
21.0
15.0
10.3
8.24
6.16
4.44
8.12
8.06
8.28
8.11
0.310
0.285
0.250
0.245
8.02
6.54
5.27
4.01
0.495
0.465
0.400
0.315
127
98.0
75.3
48.0
31.2
24.3
18.2
11.8
3.51
3.45
3.49
3.29
42.6
21.7
9.77
3.41
10.6
6.63
3.71
1.70
2.03
1.62
1.26
0.876
35
28
21
15
Note: Axes 1-1 and 2-2 are principal centroidal axes.
974
APPENDIX E Properties of Structural-Steel Shapes
2
1
1
2
TABLE E-1(b) PROPERTIES OF WIDE-FLANGE SECTIONS (W SHAPES) – SI UNITS
(ABRIDGED LIST)
Designation
Mass
per
meter
kg
Area
mm
2
Depth
Web
thickness
Flange
Width
Axis 1-1
Thickness
I
6
Axis 2-2
S
4
3
3
mm
mm
mm
mm
10 mm
10 mm
r
I
mm
6
S
4
10 mm
3
r
3
10 mm
mm
W 760
W 760
314
196
314
196
40100
25100
785
770
19.7
15.6
384
267
33.5
25.4
4290
2400
10900
6230
328
310
315
81.6
1640
610
88.6
57.2
W 610
W 610
241
140
241
140
30800
17900
635
617
17.9
13.1
330
230
31.0
22.2
2150
1120
6780
3640
264
251
184
45.4
1120
393
77.5
50.3
W 460
W 460
177
106
177
106
22600
13400
483
470
16.6
12.6
287
194
26.9
20.6
912
487
3790
2080
201
191
105
25.1
736
259
68.3
43.2
W
W
W
W
410
410
410
410
149
114
85
46.1
149
114
85.0
46.1
19000
14600
10800
5890
432
419
417
404
14.9
11.6
10.9
6.99
264
262
181
140
25.0
19.3
18.2
11.2
620
462
316
156
2870
2200
1510
773
180
178
171
163
77.4
57.4
17.9
5.16
585
441
198
73.6
63.8
62.7
40.6
29.7
W
W
W
W
360
360
360
360
179
122
79
39
179
122
79.0
39.0
22800
15500
10100
4960
368
363
353
353
15.0
13.0
9.40
6.48
373
257
205
128
23.9
21.7
16.8
10.7
574
367
225
102
3110
2020
1270
578
158
154
150
144
206
61.6
24.0
3.71
1110
480
234
58.2
95.0
63.0
48.8
27.4
W
W
W
W
310
310
310
310
129
74
52
21
129
74.0
52.0
21.0
16500
9420
6650
2680
318
310
318
302
13.1
9.40
7.62
5.08
307
205
167
101
20.6
16.3
13.2
5.72
308
163
119
36.9
1930
1050
747
244
137
132
133
117
100
23.4
10.2
0.982
651
228
122
19.5
78.0
49.8
39.1
19.1
W
W
W
W
250
250
250
250
89
67
44.8
17.9
89.0
67.0
44.8
17.9
11400
8580
5700
2280
259
257
267
251
10.7
8.89
7.62
4.83
257
204
148
101
17.3
15.7
13.0
5.33
142
103
70.8
22.4
1090
805
531
179
112
110
111
99.1
48.3
22.2
6.95
0.907
377
218
94.2
18.0
65.3
51.1
34.8
19.9
W
W
W
W
200
200
200
200
52
41.7
31.3
22.5
52.0
41.7
31.3
22.5
6650
5320
3970
2860
206
205
210
206
7.87
7.24
6.35
6.22
204
166
134
102
12.6
11.8
10.2
8.00
52.9
40.8
31.3
20.0
511
398
298
193
89.2
87.6
88.6
83.6
17.7
9.03
4.07
1.42
174
109
60.8
27.9
51.6
41.1
32.0
22.3
Note: Axes 1-1 and 2-2 are principal centroidal axes.
APPENDIX E Properties of Structural-Steel Shapes
975
2
1
1
2
TABLE E-2(a) PROPERTIES OF I-BEAM SECTIONS (S SHAPES) – USCS UNITS
(ABRIDGED LIST)
Designation
Weight
per
foot
lb
Flange
Area
in.
Depth
Web
thickness
Width
Axis 1-1
Average
thickness
2
in.
in.
in.
in.
I
in.
S
4
in.
Axis 2-2
r
3
in.
I
in.
S
4
r
3
in.
in.
S 24
S 24
100
80
100
80.0
29.3
23.5
24.0
24.0
0.745
0.500
7.25
7.00
0.870
0.870
2380
2100
199
175
9.01
9.47
47.4
42.0
13.1
12.0
1.27
1.34
S 20
S 20
96
75
96.0
75.0
28.2
22.0
20.3
20.0
0.800
0.635
7.20
6.39
0.920
0.795
1670
1280
165
128
7.71
7.62
49.9
29.5
13.9
9.25
1.33
1.16
S 18
S 18
70
54.7
70.0
54.7
20.5
16.0
18.0
18.0
0.711
0.461
6.25
6.00
0.691
0.691
923
801
103
89.0
6.70
7.07
24.0
20.7
7.69
6.91
1.08
1.14
S 15
S 15
50
42.9
50.0
42.9
14.7
12.6
15.0
15.0
0.550
0.411
5.64
5.50
0.622
0.622
485
446
64.7
59.4
5.75
5.95
15.6
14.3
5.53
5.19
1.03
1.06
S 12
S 12
50
35
50.0
35.0
14.6
10.2
12.0
12.0
0.687
0.428
5.48
5.08
0.659
0.544
303
228
50.6
38.1
4.55
4.72
15.6
9.84
5.69
3.88
1.03
0.980
S 10
S 10
35
25.4
35.0
25.4
10.3
7.45
10.0
10.0
0.594
0.311
4.94
4.66
0.491
0.491
147
123
29.4
24.6
3.78
4.07
8.30
6.73
3.36
2.89
0.899
0.950
16.2
14.4
3.09
3.26
4.27
3.69
2.05
1.84
0.795
0.827
8.74
7.34
2.28
2.45
2.29
1.80
1.28
1.08
0.673
0.702
3.38
3.03
1.56
1.64
0.887
0.748
0.635
0.562
0.564
0.576
S8
S8
23
18.4
23.0
18.4
6.76
5.40
8.00
8.00
0.441
0.271
4.17
4.00
0.425
0.425
64.7
57.5
S6
S6
17.2
12.5
17.3
12.5
5.06
3.66
6.00
6.00
0.465
0.232
3.57
3.33
0.359
0.359
26.2
22.0
S4
S4
9.5
7.7
2.79
2.26
4.00
4.00
0.326
0.193
2.80
2.66
0.293
0.293
9.50
7.70
Note: Axes 1-1 and 2-2 are principal centroidal axes.
6.76
6.05
976
APPENDIX E Properties of Structural-Steel Shapes
2
1
1
2
TABLE E-2(b) PROPERTIES OF I-BEAM SECTIONS (S SHAPES) – SI UNITS
(ABRIDGED LIST)
Designation
Mass
per
meter
kg
Flange
Area
2
Depth
Web
thickness
mm
mm
mm
Width
mm
Average
thickness
mm
Axis 1-1
I
6
Axis 2-2
S
4
3
10 mm
10 mm
3
r
I
mm
6
10 mm
S
4
3
r
3
10 mm
mm
S 610
S 610
149
119
149
119
18900
15200
610
610
18.9
12.7
184
178
22.1
22.1
991
874
3260
2870
229
241
19.7
17.5
215
197
32.3
34.0
S 510
S 510
143
112
143
112
18200
14200
516
508
20.3
16.1
183
162
23.4
20.2
695
533
2700
2100
196
194
20.8
12.3
228
152
33.8
29.5
S 460
S 460
104
81.4
104
81.4
13200
10300
457
457
18.1
11.7
159
152
17.6
17.6
384
333
1690
1460
170
180
10.0
8.62
126
113
27.4
29.0
S 380
S 380
74
64
74.0
64.0
9480
8130
381
381
14.0
10.4
143
140
15.8
15.8
202
186
1060
973
146
151
6.49
5.95
90.6
85.0
26.2
26.9
S 310
S 310
74
52
74.0
52.0
9420
6580
305
305
17.4
10.9
139
129
16.7
13.8
126
94.9
829
624
116
120
6.49
4.10
93.2
63.6
26.2
24.9
S 250
S 250
52
37.8
52.0
37.8
6650
4810
254
254
15.1
7.90
125
118
12.5
12.5
61.2
51.2
482
403
96.0
103
3.45
2.80
55.1
47.4
22.8
24.1
S 200
S 200
34
27.4
34.0
27.4
4360
3480
203
203
11.2
6.88
106
102
10.8
10.8
26.9
23.9
265
236
78.5
82.8
1.78
1.54
33.6
30.2
20.2
21.0
S 150
S 150
25.7
18.6
25.7
18.6
3260
2360
152
152
11.8
5.89
90.7
84.6
9.12
9.12
10.9
9.16
143
120
57.9
62.2
0.953
0.749
21.0
17.7
17.1
17.8
S 100
S 100
14.1
11.5
14.1
11.5
1800
1460
102
102
8.28
4.90
71.1
67.6
7.44
7.44
2.81
2.52
39.6
41.7
0.369
0.311
10.4
9.21
14.3
14.6
Note: Axes 1-1 and 2-2 are principal centroidal axes.
55.4
49.7
APPENDIX E Properties of Structural-Steel Shapes
c
977
2
1
1
2
TABLE E-3(a) PROPERTIES OF CHANNEL SECTIONS (C SHAPES) – USCS UNITS
(ABRIDGED LIST)
Designation
Weight
per
foot
Flange
Area
Depth
lb
in.
2
in.
14.7
11.8
10.0
Web
thickness
Width
Axis 1-1
Average
thickness
in.
in.
in.
15.0
15.0
15.0
0.716
0.520
0.400
3.72
3.52
3.40
0.650
0.650
0.650
I
in.
Axis 2-2
S
4
r
3
I
S
4
in.
3
r
c
in.
in.
in.
in.
in.
404
348
315
53.8
46.5
42.0
5.24
5.45
5.62
11.0
9.17
8.07
3.77
3.34
3.09
0.865
0.883
0.901
0.799
0.778
0.788
C 15
C 15
C 15
50
40
33.9
50.0
40.0
33.9
C 12
C 12
C 12
30
25
20.7
30.0
25.0
20.7
8.81
7.34
6.08
12.0
12.0
12.0
0.510
0.387
0.282
3.17
3.05
2.94
0.501
0.501
0.501
162
144
129
27.0
24.0
21.5
4.29
4.43
4.61
5.12
4.45
3.86
2.05
1.87
1.72
0.762
0.779
0.797
0.674
0.674
0.698
C 10
C 10
C 10
C 10
30
25
20
15.3
30.0
25.0
20.0
15.3
8.81
7.34
5.87
4.48
10.0
10.0
10.0
10.0
0.673
0.526
0.379
0.240
3.03
2.89
2.74
2.60
0.436
0.436
0.436
0.436
103
91.1
78.9
67.3
20.7
18.2
15.8
13.5
3.42
3.52
3.66
3.87
3.93
3.34
2.80
2.27
1.65
1.47
1.31
1.15
0.668
0.675
0.690
0.711
0.649
0.617
0.606
0.634
C8
C8
C8
18.7
13.7
11.5
18.7
13.7
11.5
5.51
4.04
3.37
8.00
8.00
8.00
0.487
0.303
0.220
2.53
2.34
2.26
0.390
0.390
0.390
43.9
36.1
32.5
11.0
9.02
8.14
2.82
2.99
3.11
1.97
1.52
1.31
1.01
0.848
0.775
0.598
0.613
0.623
0.565
0.554
0.572
C6
C6
C6
13
10.5
8.2
13.0
10.5
8.20
3.81
3.08
2.39
6.00
6.00
6.00
0.437
0.314
0.200
2.16
2.03
1.92
0.343
0.343
0.343
17.3
15.1
13.1
5.78
5.04
4.35
2.13
2.22
2.34
1.05
0.860
0.687
0.638
0.561
0.488
0.524
0.529
0.536
0.514
0.500
0.512
C4
C4
7.2
5.4
7.20
5.40
2.13
1.58
4.00
4.00
0.321
0.184
1.72
1.58
0.296
0.296
2.29
1.92
1.47
1.56
0.425
0.312
0.337
0.277
0.447
0.444
0.459
0.457
4.58
3.85
Notes: 1. Axes 1-1 and 2-2 are principal centroidal axes.
2. The distance c is measured from the centroid to the back of the web.
3. For axis 2-2, the tabulated value of S is the smaller of the two section moduli for this axis.
978
APPENDIX E Properties of Structural-Steel Shapes
c
2
1
1
2
TABLE E-3(b) PROPERTIES OF CHANNEL SECTIONS (C SHAPES) – SI UNITS
(ABRIDGED LIST)
Designation
Mass
per
meter
Flange
Web
Area Depth thickness Width
Average
thickness
kg
2
mm
mm
mm
mm
mm
Axis 1-1
I
6
Axis 2-2
S
4
3
3
10 mm
10 mm
168
145
131
882
762
688
r
I
mm
6
S
4
3
3
r
c
mm
10 mm
10 mm
mm
133
138
143
4.58
3.82
3.36
61.8
54.7
50.6
22.0 20.3
22.4 19.8
22.9 20.0
109
113
117
2.13
1.85
1.61
33.6
30.6
28.2
19.4 17.1
19.8 17.1
20.2 17.7
C 380
C 380
C 380
74
60
50.4
74.0
60.0
50.4
9480
7610
6450
381
381
381
18.2
13.2
10.2
94.5
89.4
86.4
16.5
16.5
16.5
C 310
C 310
C 310
45
37
30.8
45.0
37.0
30.8
5680
4740
3920
305
305
305
13.0
9.83
7.16
80.5
77.5
74.7
12.7
12.7
12.7
67.4
59.9
53.7
442
393
352
C 250
C 250
C 250
C 250
45
37
30
22.8
45.0
37.0
30.0
22.8
5680
4740
3790
2890
254
254
254
254
17.1
13.4
9.63
6.10
77.0
73.4
69.6
66.0
11.1
11.1
11.1
11.1
42.9
37.9
32.8
28.0
339
298
259
221
86.9
89.4
93.0
98.3
1.64
1.39
1.17
0.945
27.0
24.1
21.5
18.8
17.0
17.1
17.5
18.1
C 200
C 200
C 200
27.9
20.5
17.1
27.9
20.5
17.1
3550
2610
2170
203
203
203
12.4
7.70
5.59
64.3
59.4
57.4
9.91
9.91
9.91
18.3
15.0
13.5
180
148
133
71.6
75.9
79.0
0.820
0.633
0.545
16.6
13.9
12.7
15.2 14.4
15.6 14.1
15.8 14.5
C 150
C 150
C 150
19.3
15.6
12.2
19.3
15.6
12.2
2460
1990
1540
152
152
152
11.1
7.98
5.08
54.9
51.6
48.8
8.71
8.71
8.71
7.20
6.29
5.45
94.7
82.6
71.3
54.1
56.4
59.4
0.437
0.358
0.286
10.5
9.19
8.00
13.3 13.1
13.4 12.7
13.6 13.0
C 100
C 100
10.8
8
10.8
8.00
1370
1020
102
102
8.15
4.67
43.7
40.1
7.52
7.52
1.91
1.60
37.5
31.5
37.3
39.6
0.177
0.130
5.52
4.54
11.4 11.7
11.3 11.6
Notes: 1. Axes 1-1 and 2-2 are principal centroidal axes.
2. The distance c is measured from the centroid to the back of the web.
3. For axis 2-2, the tabulated value of S is the smaller of the two section moduli for this axis.
16.5
15.7
15.4
16.1
979
APPENDIX E Properties of Structural-Steel Shapes
c
2
3
4
1
c
a
4
1
3
2
TABLE E-4(a) PROPERTIES OF ANGLE SECTIONS WITH EQUAL LEGS (L SHAPES) – USCS UNITS
(ABRIDGED LIST)
Weight
per
foot
Designation
in.
Axis 1-1 and Axis 2-2
Area
lb
in.
2
I
in.
S
4
Axis 3-3
r
c
rmin
3
in.
in.
in.
in.
L8
L8
L8
8
8
8
1
3/4
1/2
51.0
38.9
26.4
15.0
11.4
7.75
89.1
69.9
48.8
15.8
12.2
8.36
2.43
2.46
2.49
2.36
2.26
2.17
1.56
1.57
1.59
L6
L6
L6
6
6
6
1
3/4
1/2
37.4
28.7
19.6
11.0
8.46
5.77
35.4
28.1
19.9
8.55
6.64
4.59
1.79
1.82
1.86
1.86
1.77
1.67
1.17
1.17
1.18
L5
L5
L5
5
5
5
7/8
1/2
3/8
27.2
16.2
12.3
7.98
4.75
3.61
17.8
11.3
8.76
5.16
3.15
2.41
1.49
1.53
1.55
1.56
1.42
1.37
0.971
0.980
0.986
L4
L4
L4
4
4
4
3/4
1/2
3/8
18.5
12.8
9.80
5.44
3.75
2.86
7.62
5.52
4.32
2.79
1.96
1.50
1.18
1.21
1.23
1.27
1.18
1.13
0.774
0.776
0.779
8.50
5.80
2.48
1.69
2.86
2.00
1.15
0.787
1.07
1.09
1.00
0.954
0.683
0.688
9.40
4.90
2.75
1.44
2.20
1.23
1.06
0.569
0.895
0.926
0.929
0.836
0.580
0.585
L 3-1/2
L 3-1/2
3-1/2
3-1/2
L3
L3
1/2
1/4
3
3
3/8
1/4
Notes: 1. Axes 1-1 and 2-2 are centroidal axes parallel to the legs.
2. The distance c is measured from the centroid to the back of the legs.
3. For axes 1-1 and 2-2, the tabulated value of S is the smaller of the two section
moduli for those axes.
4. Axes 3-3 and 4-4 are principal centroidal axes.
5. The moment of inertia for axis 3-3, which is the smaller of the two principal
2
moments of inertia, can be found from the equation I33 Ar min
.
6. The moment of inertia for axis 4-4, which is the larger of the two principal
moments of inertia, can be found from the equation I44 I33 I11 I22.
980
APPENDIX E Properties of Structural-Steel Shapes
c
2
3
4
1
c
a
4
1
3
2
TABLE E-4(b) PROPERTIES OF ANGLE SECTIONS WITH EQUAL LEGS (L SHAPES) – SI UNITS
(ABRIDGED LIST)
Designation
mm
Mass
per
meter
Axis 1-1 and Axis 2-2
Area
I
2
6
kg
mm
S
4
3
3
Axis 3-3
r
c
rmin
10 mm
10 mm
mm
mm
mm
L 203
L 203
L 203
203
203
203
25.4
19
12.7
75.9
57.9
39.3
9680
7350
5000
37.1
29.1
20.3
259
200
137
61.7
62.5
63.2
59.9
57.4
55.1
39.6
39.9
40.4
L 152
L 152
L 152
152
152
152
25.4
19
12.7
55.7
42.7
29.2
7100
5460
3720
14.7
11.7
8.28
140
109
75.2
45.5
46.2
47.2
47.2
45.0
42.4
29.7
29.7
30.0
L 127
L 127
L 127
127
127
127
22.2
12.7
9.5
40.5
24.1
18.3
5150
3060
2330
7.41
4.70
3.65
84.6
51.6
39.5
37.8
38.9
39.4
39.6
36.1
34.8
24.7
24.9
25.0
L 102
L 102
L 102
102
102
102
19
12.7
9.5
27.5
19.0
14.6
3510
2420
1850
3.17
2.30
1.80
45.7
32.1
24.6
30.0
30.7
31.2
32.3
30.0
28.7
19.7
19.7
19.8
L 89
L 89
89
89
9.5
6.4
12.6
8.60
1600
1090
1.19
0.832
18.8
12.9
27.2
27.7
25.4
24.2
17.3
17.5
L 76
L 76
76
76
12.7
6.4
14.0
7.30
1770
929
0.916
0.512
17.4
9.32
22.7
23.5
23.6
21.2
14.7
14.9
Notes: 1. Axes 1-1 and 2-2 are centroidal axes parallel to the legs.
2. The distance c is measured from the centroid to the back of the legs.
3. For axes 1-1 and 2-2, the tabulated value of S is the smaller of the two section
moduli for those axes.
4. Axes 3-3 and 4-4 are principal centroidal axes.
5. The moment of inertia for axis 3-3, which is the smaller of the two principal
2
moments of inertia, can be found from the equation I33 Ar min
.
6. The moment of inertia for axis 4-4, which is the larger of the two principal
moments of inertia, can be found from the equation I44 I33 I11 I22.
981
APPENDIX E Properties of Structural-Steel Shapes
3
c
2
4
1
d
4
a
3
2
TABLE E-5(a) PROPERTIES OF ANGLE SECTIONS WITH UNEQUAL LEGS (L SHAPES) – USCS UNITS
(ABRIDGED LIST)
Designation
in.
Weight
per
foot
Axis 1-1
Area
lb
in.
2
I
in.
S
4
in.
r
3
Axis 2-2
d
I
S
4
in.
in.
in.
38.8
21.7
Axis 3-3
tan a
r
c
rmin
3
in.
in.
in.
in.
8.92
4.79
1.72
1.79
1.65
1.46
1.28
1.30
0.542
0.557
L8
L8
6
6
1
1/2
44.2
23.0
13.0
6.75
80.9
44.4
15.1
8.01
2.49
2.55
2.65
2.46
L7
L7
4
4
3/4
1/2
26.2
17.9
7.69
5.25
37.8
26.6
8.39
5.79
2.21
2.25
2.50
2.40
9.00
6.48
3.01
2.10
1.08
1.11
1.00
0.910
0.855
0.866
0.324
0.334
L6
L6
4
4
3/4
1/2
23.6
16.2
6.94
4.75
24.5
17.3
6.23
4.31
1.88
1.91
2.07
1.98
8.63
6.22
2.95
2.06
1.12
1.14
1.07
0.981
0.856
0.864
0.428
0.440
L5
L5
3-1/2
3-1/2
19.8
13.6
5.81
4.00
13.9
10.0
4.26
2.97
1.55
1.58
1.74
1.65
5.52
4.02
2.20
1.55
0.974
1.00
0.993
0.901
0.744
0.750
0.464
0.479
L5
L5
3
3
12.8
6.60
3.75
1.94
9.43
5.09
2.89
1.51
1.58
1.62
1.74
1.64
2.55
1.41
1.13
0.600
0.824
0.853
0.746
0.648
0.642
0.652
0.357
0.371
L4
L4
3-1/2
3-1/2
11.9
6.20
3.50
1.81
5.30
2.89
1.92
1.01
1.23
1.26
1.24
1.14
3.76
2.07
1.50
0.794
1.04
1.07
0.994
0.897
0.716
0.723
0.750
0.759
L4
L4
L4
3
3
3
11.1
8.50
5.80
3.25
2.48
1.69
5.02
3.94
2.75
1.87
1.44
0.988
1.24
1.26
1.27
1.32
1.27
1.22
2.40
1.89
1.33
1.10
0.851
0.585
0.858
0.873
0.887
0.822
0.775
0.725
0.633
0.636
0.639
0.542
0.551
0.558
3/4
1/2
1/2
1/4
1/2
3/8
1/4
1/2
1/4
Notes: 1. Axes 1-1 and 2-2 are centroidal axes parallel to the legs.
2. The distances c and d are measured from the centroid to the backs of the legs.
3. For axes 1-1 and 2-2, the tabulated value of S is the smaller of the two section moduli for those axes.
4. Axes 3-3 and 4-4 are principal centroidal axes.
5. The moment of inertia for axis 3-3, which is the smaller of the two principal moments of inertia, can be found from the
2
equation I33 Ar min
.
6. The moment of inertia for axis 4-4, which is the larger of the two principal moments of inertia, can be found from the
equation I44 I33 I11 I22.
1
982
APPENDIX E Properties of Structural-Steel Shapes
3
c
2
4
1
d
4
1
a
3
2
TABLE E-5(b)
PROPERTIES OF ANGLE SECTIONS WITH UNEQUAL LEGS (L SHAPES) – SI UNITS
(ABRIDGED LIST)
Designation
Mass
per
meter
Axis 1-1
Area
mm
kg
mm2
106mm4
I
S
Axis 2-2
r
d
103mm3
mm
mm
I
106mm4
S
103mm3
Axis 3-3
r
c
rmin
mm
mm
mm
tan a
L 203
L 203
152
152
25.4
12.7
65.5
34.1
8390
4350
33.7
18.5
247
131
63.2
64.8
67.3
62.5
16.1
9.03
146
78.5
43.7
45.5
41.9
37.1
32.5
33.0
0.542
0.557
L 178
L 178
102
102
19
12.7
38.8
26.5
4960
3390
15.7
11.1
137
94.9
56.1
57.2
63.5
61.0
3.75
2.70
49.3
34.4
27.4
28.2
25.4
23.1
21.7
22.0
0.324
0.334
L 152
L 152
102
102
19
12.7
35.0
24.0
4480
3060
10.2
7.20
102
70.6
47.8
48.5
52.6
50.3
3.59
2.59
48.3
33.8
28.4
29.0
27.2
24.9
21.7
21.9
0.428
0.440
L 127
L 127
89
89
19
12.7
29.3
20.2
3750
2580
5.79
4.15
69.8
48.7
39.4
40.1
44.2
41.9
2.30
1.67
36.1
25.4
24.7
25.4
25.2
22.9
18.9
19.1
0.464
0.479
L 127
L 127
76
76
12.7
6.4
19.0
9.80
2420
1250
3.93
2.12
47.4
24.7
40.1
41.1
44.2
41.7
1.06
0.587
18.5
9.83
20.9
21.7
18.9
16.5
16.3
16.6
0.357
0.371
L 102
L 102
89
89
12.7
6.4
17.6
9.20
2260
1170
2.21
1.20
31.5
16.6
31.2
32.0
31.5
29.0
1.57
0.862
24.6
13.0
26.4
27.2
25.2
22.8
18.2
18.4
0.750
0.759
L 102
L 102
L 102
76
76
76
12.7
9.5
6.4
16.4
12.6
8.60
2100
1600
1090
2.09
1.64
1.14
30.6
23.6
16.2
31.5
32.0
32.3
33.5
32.3
31.0
0.999
0.787
0.554
18.0
13.9
9.59
21.8
22.2
22.5
20.9
19.7
18.4
16.1
16.2
16.2
0.542
0.551
0.558
Notes: 1. Axes 1-1 and 2-2 are centroidal axes parallel to the legs.
2. The distances c and d are measured from the centroid to the backs of the legs.
3. For axes 1-1 and 2-2, the tabulated value of S is the smaller of the two section moduli for those axes.
4. Axes 3-3 and 4-4 are principal centroidal axes.
5. The moment of inertia for axis 3-3, which is the smaller of the two principal moments of inertia, can be found from the
2
equation I33 Ar min
.
6. The moment of inertia for axis 4-4, which is the larger of the two principal moments of inertia, can be found from the
equation I44 I33 I11 I22.