Spherical Vessel Stress Calculation: Mechanics Problem

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_______________________________________________________________________
PROBLEM (8.81) A spherical vessel of radius r and wall thickness t is submerged in water having
density
γ
. Calculate the water depth h at which the circumferential stress in the sphere would be .
σ
Assumption: A safety factor of
s
n is to be used.
Given: r = 2.5 ft, t = 1½ in.,
γ
= 62.4 lb/ft3 ,
σ
= 4200 psi ,
s
n = 1.5
SOLUTION
22(1.5)(4200) 1.5 280
2.5 12
all
t
p
psi
r
σ
== =
×
We have
3
62.4 280
(12) h=
or
7754 . 646hin==ft
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