G Woods
###
ASME Section VIII Division 1 Appendix 2 Weld Neck Flange Analysis
all US customary units
yellow is input values, green is program calculated values, orange is definition.
I. Flange Description
NPS:
A:
B:
C:
t:
h:
go:
g1:
Rgsur:
BD:
RD:
#B:
12
Class:
150 Type: WN FLANGE
19.000
dimensions per Section VIII-1 Fig. 2-4 (6)
12.250
17.000
1.190
3.000
Rgsur: is the flange raise face dimension
0.250
R: is calculated by Section VIII equation
1.065
h
15.000
R:
1.31
0.875 nominal bolt diameter
0.731 bolt root diameter
12 number of bolts
II. Gasket Dimension & Factors
OD:
14.75
ID:
g1
go
13.38
m:
3
y:
10000
III. Design Conditions
T:
150 F
P:
104 psig
F Mat: A105
B Mat: A193-B7
ExMo:
50000
Pe:
90
P+Pe:
194
Sc: 23300
Sf:
22600
Sa: 25000
Sb:
25000
external overturning moment, in-lbs.
IV. Calculations:
Location of gasket load reaction:
N:
0.69
N/2:
G:
14.16
Bolt Loads, lbs.
Operating Wm1:
Gasket: Wm2:
Required bolt areas, in2.
Am1:
1.826
Am2:
5.215
Ab:
5.034
0.34
0.2932
0.25
b:
0.29
45648
130376
Am is the greater of Am1 or Am2.
Am:
5.215
Ab is not to be less than Am.
Flange design bolt load operating and gasket seating, lbs.
Oper:
45648
t
SR
SH
C
B G
Rgsur
A
Bolt Diameters
Nominal
Root
0.500
0.400
0.563
0.454
0.625
0.507
0.750
0.620
0.875
0.731
1.000
0.838
1.125
0.963
1.250
1.088
1.375
1.213
1.500
1.338
1.625
1.463
1.750
1.588
1.875
1.713
2.000
1.838
2.250
2.088
2.500
2.338
2.750
2.588
3.000
2.838
Gask.:
128109
Flange moments, in-lbs.
Operating: Mo=MD+MT+MG
MD:
42034
MT:
14575
MG:
21485
MO:
78093
Gasket:
Mog: 181678
Calculated Values of T, U, Y, and Z
K: 1.55102
T: 1.68859
U: 5.05244
Y: 4.59773
Z: 2.42281
Fig.2-7.6 Value of f
g1/go:
4.260
h/ho: 1.71429
f:
1.00
0.12
Fig. 2-7.2 Value of F
g1/go:
4.260
h/ho: 1.71429
F: 0.55138
Value of L
e:
0.32
Value of V
V: 0.02868
Value of d:
19.27
L:
0.90
V. Flange Stress Calculations, psi
Operating
Gasket
SH:
6233
14501
SR:
7482
17407
ST:
2570
5979
A:
C:
C1:
C2:
C3:
C4:
C5:
C6:
C7:
C8:
C9:
C10:
C11:
C12:
C13:
C14:
C15:
C16:
C17:
C18:
C19:
Flange Factor Calculations
3.26
C20: 0.167679
377.238
C21: -0.17464
0.605
C22: 0.064638
0.28399
C23: -0.34272
0.01382
C24: 0.31447
0.09729
C25: -0.09919
-0.1777
C26:
-3.1163
0.02198
C27: -0.61919
0.90557
C28: -0.05268
0.12457
C29: -9.71131
0.13469
C30: -30.2633
-0.1811
C31: 7.611751
0.04852
C32: 0.749823
0.0276
C33: -2.58043
0.01267
C34: -0.64286
-0.0161
C35: 6.623002
0.00543
C36: 0.501157
0.00431
C37: 4.78672
0.08994
E1: -0.13426
-0.2188
E2: 0.218799
0.00825
E3: -0.33206
Operating Gasket
(SH+SR)/2: 6858
15954
(SH+ST)/2: 4402
10240
E4: 0.646656
E5: -0.00702
E6: -0.38742
Allowable
22600
22600
VI. Allowable Stress Operating and Gasket Seating, psi
Operating
Gasket
SH:
33900
34950
SR:
22600
23300
ST:
22600
23300
VII. Flange Rigidity
E: 3E+007
Oper.
### Gasket Seating, modulus of elasticity
J:
0.13
Oper.
0.35 Gasket Seating
VIII. Probable Bolt Stress:
48107 psi
IX. Leakage Moment, in-lbs.
ML:
394257
ASME Section VIII - Division 1
Appendix 2 Weld Neck Flange Analysis
Project:
OxyChem PVC
Job No: 31057.01 Cal. by: G Woods
Flange Description:
NPS 12-150# WN Flange
Flange Location:
E-807 Nozzle F at elevation 162'-0 15/16"
I. Design Conditions
Pres.:
104
psig
External Moment:
50000 in-lbs
Analysis Pressure, P + Pe:
194
Temp.:
150
F
Equivalent pressure:
Date:
###
o
90
psig
Sf:
22600
psi
Sb:
25000
psi
psig
II. Flange, Bolt Material and Allowable Stresses
Flange Material:
Bolt Material:
A105
A193-B7
III. Flange and Bolt Dimensions, inches
Flange:
A = 19.000
g1 = 1.065
Bolt:
Nom. Diameter:
Sc: 23300 psi
Sa: 25000 psi
B = 12.250
C = 17.000
go = 0.250
h = 3.000
0.875
Root Diameter: 0.731
IV. Gasket Dimensions and Factors
Dimensions:
OD: 14.75
Factors:
m: 3
ID: 13.38
y: 10000
V. Flange Calculated Factors
K = 1.551
F = 0.551
f = 1.00
T = 1.689
V = 0.029
U = 5.052
t = 1.190
No. Bolts: 12
inches
b: 0.29
G: 14.16
e = 0.315
Y = 4.598
L = 0.902
U = 5.052
VI. Flange Design Bolt Loads, lbs., Area, and Moments in-lbs., for Operating and Gasket Seating
Operating
Gasket Seating
Bolt:
45648
128109
Bolt Area:
5.034 in2
Moment:
78093
181678
Required Area:
5.215 in2
VII. Flange Operating and Gasket Seating Stress and Allowable Stress
Operate Allowable
Gasket Allowable
SH:
6233 33900
14501 34950
SR:
7482 22600
17407 23300
ST:
2570 22600
5979 23300
(SH+SR)/2
6858 22600
15954 23300
(SH+ST)/2
4402 22600
10240 23300
VIII. Flange Modulus of Elasticity, E psi, and Rigidity, J at Operating and Gasket Seating
Operating
Gasket
E:
29100000
3E+007
J:
0.13
0.35
J <= 1.0
IX: Probable Bolt Stress at Gasket Seating:
48107 psi
X. Moment to cause Flange Leakage:
394257 in-lbs.