A thinwalled cylindrical pressure vessel with closed ends is subjected to an internal pressure (p=100) psi and

Question:

A thinwalled cylindrical pressure vessel with closed ends is subjected to an internal pressure \(p=100\) psi and also a torque \(T\) about its axis of symmetry. Determine \(T\) that will cause yielding according to von Mises' yield criterion. The design requires a safety factor of 2 . The nominal diameter \(D\) of the pressure vessel \(=20\) inch, wall thickness \(t=0.1\) in., the yield strength of the material \(=30 \mathrm{ksi}\). \((1 \mathrm{ksi}=1000 \mathrm{psi})\). Stresses in a thinwalled cylinder are: longitudinal stress \(\sigma_{l}\), hoop stress \(\sigma_{h}\), and shear stress \(\tau\) due to torsion. They are given by

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