_______________________________________________________________________
PROBLEM (9.10) A thin-walled cylindrical vessel of radius r and thickness t is acted upon by an
internal pressure p as well as an axial compressive load P applied to the vessel through the rigid end
plates as shown in Fig. P9.10. What is the magnitude of P needed to produce pure shear in the cylinder
wall ?
SOLUTION
We have d=2r. For pure shear,
1
p
rt
σ
=
222
p
rP
trt
σ
π
=−
12
σ
σ
=−
22
p
rprP
tt
rt
π
=− +
Solving
2
3Pp
π
=r
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