A cylindrical pressure vessel having a radius r =14 in. and wall thickness t = 0.5 in. is subjected to internal pressure p = 375 psi. In addition, a torque T = 90 kip-ft acts at each end of the cylinder (see figure).

(a) Determine the maximum tensile stress s max and the maximum in-plane shear stress t max in the wall of the cylinder.

(b) If the allowable in-plane shear stress is 4.5 ksi, what is the maximum allowable torque T?

(c) If T = 150 kip-ft and allowable in-plane shear and allowable normal stresses are 4.5 ksi and11.5ksi, respectively, what is the minimum required wall thickness?

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T T