Page 240 - Pressure Vessel Design Manual

218 Pressure Vessel Design Manual

Required Data Forces and Moments

R, = E, = 0 Equate displacements and solve for force, F.
r= AT, =
A, = AT, = w1-k w2 -kw3 -k w4 = w5 +w6 -k w7
t= P=
as = v, = where W1 = (+)
as = Mb =
E, = W, = w5 = (--)
F=

e Internal moment, M.
Formulas
w2 - w7) w3 - w6) w4
-k
0 CoeJfficient, b. M=

Stresses
For steel, where v, = 0.3,
a Shell.
p=- 1.285 6M N PR,
+-
m a, = (&)- - -
t2 2rrR,,t 2t
0 Axial load, N.
6Mu, FR, +-
PR,
2Mb 00 = (*)--- 2t t
t2
N = ( *I>- - W, + PXR;
Rm
(+) tension, (-) compression

Table 4-6
Values of E (106psi) and (Y (10-6in./in.PF)
Temp. "F

Material 100" 200" 300" 400" 500" 600" 700" 800" 900" looo" 1100" 1200"
Carbon steel E 29 28.7 28.2 27.6 26.8 25.9 24.5 23 21 18.1
a 6.2 6.4 6.6 6.8 7.0 7.2 7.4 7.7 7.9 8.0
Austenitic stainless steel E 28 27.3 26.6 25.9 25.2 24.5 23.8 23 22.4 21.6
(Y 9.2 9.3 9.5 9.6 9.7 9.8 10.0 10.1 10.2 10.3
Low chromium (~3%) E 29.9 29.5 29 28.6 28 27.4 26.6 25.7 24.5 23 20.4 15.6
6.2 6.4 6.6 6.8 7.0 7.2 7.4 7.7 7.9 8.0 8.1 8.2
(Y
Chrome-moly (5%-9% chrome) E 27.4 27.1 26.8 26.4 26 25.4 24.9 24.2 23.5 22.8 21.9 20.8
a 5.9 6.0 6.2 6.3 6.5 6.7 6.8 7.0 7.1 7.2 7.3 7.4
High chrome (1 1 %-27%) E 29.2 28.7 28.3 27.7 27 26 24.8 23.1 21.1 18.6 15.6 12.2
ry 5.4 5.5 5.7 5.8 6 6.1 6.3 6.4 6.5 6.6 6.7 6.8
lnconel 600 E 31.7 30.9 30.5 30 29.6 29.2 28.6 27.9 25 20
(Y 7.2 7.4 7.6 7.7 7.8 7.9 8.0 8.1
lncoloy 800 E 28.5 27.8 27.3 26.8 26.2 25.7 25.2 24.6
a! 7.9 7.9 8.8 8.9 9 9.1 9.2