고체역학 (Gere) — Tension, Compression, and Shear: Problem 1.3-17

1.3-17 A stepped shaft ABC consisting of two solid, circular segments is subjected to torques \(T_1\) and \(T_2\) acting in opposite directions, as shown in the figure. The larger segment of the shaft has a diameter of \(d_1 = 58 \text{ mm}\) and a length \(L_1 = 0.75 \text{ m}\); the smaller segment has a diameter \(d_2 = 44 \text{ mm}\) and a length \(L_2 = 0.5 \text{ m}\). The torques are \(T_1 = 2400 \text{ N}\cdot\text{m}\) and \(T_2 = 1130 \text{ N}\cdot\text{m}\). (a) Find reaction torque \(T_A\) at support \(A\). (b) Find the internal torque \(T(x)\) at two locations: \(x = L_1/2\) and \(x = L_1 + L_2/2\). Show these internal torques on properly drawn free-body diagrams (FBDs).