고체역학 (Beer) — Torsion: Problem 3.18

3.18 Solve Prob. 3.17 assuming that the direction of \( \mathbf{T}_C \) is reversed. [Prob. 3.17: The solid shaft shown is formed of a brass for which the allowable shearing stress is 55 MPa. Neglecting the effect of stress concentrations, determine the smallest diameters \( d_{AB} \) and \( d_{BC} \) for which the allowable shearing stress is not exceeded.] Given values from Fig. P3.17: \( T_B = 1200 \text{ N}\cdot\text{m} \) \( T_C = 400 \text{ N}\cdot\text{m} \) Allowable shearing stress, \( \tau_{\text{all}} = 55 \text{ MPa} = 55 \times 10^6 \text{ Pa} \)