고체역학 (Beer) — Torsion: Problem 3.72

3.72 One of two hollow drive shafts of a cruise ship is 125 ft long, and its outer and inner diameters are 16 in. and 8 in., respectively. The shaft is made of a steel for which \(\tau_{all} = 8500 \text{ psi}\) and \(G = 11.2 \times 10^6 \text{ psi}\). Knowing that the maximum speed of rotation of the shaft is 165 rpm, determine (a) the maximum power that can be transmitted by the one shaft to its propeller, (b) the corresponding angle of twist of the shaft.