Page 261 - Pressure Vessel Design Manual

Special Designs 239

Shell7 Refractory
T,, = temperature, internal operating, O F
Ts =temperature, shell, mean, "F
Tbl =temperature, shell, inside, OF
TSz =temperature, shell, outside, OF
W = overall weight, Ib
W,.,, = equivalent specific density, pcf
8 =deflection, in.
E@ = circumferential strain due to internal pressure,
idin.
ALI =thermal expansion, shell, in./in.
AL2 = thermal expansion, shell, without lining stress, in./
in.
AL3 = mean thermal expansion, idin.
AL4 = mean shrinkage, in./in.
AL5 = net mean unrestrained expansion, idin.
ALli = net differential circumferential expansion, in./in.
n12, = mean compressive stress, refractory, due to Shell I
restraint of shell, psi
oL2 = stress differential from mean, refractory, due to
thermal expansion gradient, psi
=
n12,3 stress differential from mean, refractory, at hot
face due to shrinkage, psi
nL.$ = circumferential stress in refractory, at hot face,
psi
nL5 = circumferential stress in refractory, at cold face,
psi Hoop Stresses
n\<, = circumferential stress in shell caused by the
lining, psi
o,f, = circumferential stress due to internal pressure, psi

L1
W
I
11 11 11 1'1 11
---
---?
t-- ---______---- Radial Compressive Stresses
4
Figure 4-20. Stresdtemperatures in wall.

Calculations

Properties of Vessel or Pipe

0 Equicalent ,spec@ density, we,(/.

0 Moment of inertia.

Figure 4-19. Lining dimensions