A cylindrical pressure vessel having radius r = 300 mm and wall thickness t = 15 mm is subjected to internal pressure p = 2.5 MPa. In addition, a torque T = 120 kN·m acts at each end of the cylinder (see figure).
(a) Determine the maximum tensile stress σmax and the maximum in-plane shear stress τmax in the wall of the cylinder.
(b) If the allowable in-plane shear stress is 30 MPa, what is the maximum allowable torque T?