고체역학 (Gere) — Torsion: Problem 3.3-16

3.3-16 Solve the preceding problem [3.3-15] if the shaft has an outer diameter \(d_2 = 150 \text{ mm}\) and inner diameter \(d_1 = 100 \text{ mm}\). Also, the steel has a shear modulus of elasticity \(G = 75 \text{ GPa}\), and the applied torque is \(16 \text{ kN}\cdot\text{m}\). [Problem 3.3-15 requirements: Determine (a) shear stress \(\tau_2\) at the outer surface of the shaft, (b) shear stress \(\tau_1\) at the inner surface, and (c) rate of twist \(\theta\) (degrees per unit of length). Also, draw a diagram showing how the shear stresses vary in magnitude along a radial line in the cross section.]