_______________________________________________________________________
PROBLEM (9.12) A closed-ended cylinder of radius r and wall thickness t is subjected to an
internal pressure p and an axial tension P. Determine for the shell wall:
(a) The maximum tensile stress.
(b) The maximum shearing stresses and the orientation of their planes.
Given: r = 10 in., t = ½ in., p = 500 psi, P = 100 kips
SOLUTION
(a) 22(10)(0Art .5)
π
π
=
=
2
31.42 .in=
500(10) 10
0.5
tksi
σ
==
3
100 10 58.18
31.42
aksi
σ
×
=+=
t
p
r
t
σ
=
2
Ppr
aAt
σ
=+
(b) max 11
(10 8.18) 0.91 ' (8.15 10) 9.08
22
ksi ksi
τσ
=−= = +=
4
5o
0.91 ksi
9.08 ksi
9.08 ksi
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