Beer & Johnston — Torsion: Problem 3.39

3.39 The solid spindle \(AB\) has a diameter \(d_s = 1.75 \text{ in.}\) and is made of a steel with \(G = 11.2 \times 10^6 \text{ psi}\) and \(\tau_{\text{all}} = 12 \text{ ksi}\), while sleeve \(CD\) is made of a brass with \(G = 5.6 \times 10^6 \text{ psi}\) and \(\tau_{\text{all}} = 7 \text{ ksi}\). Determine (a) the largest torque \(\mathbf{T}\) that can be applied at \(A\) if the given allowable stresses are not to be exceeded and if the angle of twist of sleeve \(CD\) is not to exceed \(0.375^\circ\), (b) the corresponding angle through which end \(A\) rotates.