Beer & Johnston — Torsion: Problem 3.107

3.106 The hollow shaft shown is made of steel which is assumed to be elastoplastic with \(\tau_Y = 145\) MPa and \(G = 77.2\) GPa. Determine the magnitude \(T\) of the torque and the corresponding angle of twist (a) at the onset of yield, (b) when the plastic zone is 10 mm deep. 3.107 For the shaft of Prob. 3.106, determine (a) angle of twist at which the section first becomes fully plastic, (b) the corresponding magnitude \(T\) of the applied torque. Sketch the \(T\)-\(\phi\) curve for the shaft.