Page 49 - Pressure Vessel Design Manual

General Design 35

Dimensional Formulas e Circumferential stress, D1

Compression:
PLl [;;I
DI D - 2(R - R COS^)

c1=--- '1,"' -
t

e Circumferential stress at DI withotit londs, c/1
Compression:
DI
L, =-
2 cos a

e Thickness required knuckle, t,-k [I, section 1-4(d)].
With loads:

Large End (Figure 2-7)

Without loads:

PLlm
trk =
2SE - 0.2P
e Thickness required cone, t,, [l, section UG-32(g)].
N7ith loads:

PiDi
trc =
2 cos a(SE - 0.6P1)

Without loads:

PDl
tr, =
2 COS u(SE - 0.W)
Figure 2-7. Dimensional data for the large end of a conical transition.
~~
Small End (Figure 2-8)
e Maximum longitudinal loady, fi
( + ) tension; ( - ) compression e Maximum longitudinal loah, f2.
( + ) tension; ( - ) compression

e D&rmine equiualent prmsiire!, PI
e Determine equi.L;alent pressure, P2.
4fz
P?.=P+-
D2