Gere & Goodno — Torsion: Problem 3.5-4

3.5-4 A hollow steel bar (\(G = 80 \text{ GPa}\)) is twisted by torques \(T\) (see figure). The twisting of the bar produces a maximum shear strain \(\gamma_{\text{max}} = 640 \times 10^{-6} \text{ rad}\). The bar has outside and inside diameters of \(150 \text{ mm}\) and \(120 \text{ mm}\), respectively. (a) Determine the maximum tensile strain in the bar. (b) Determine the maximum tensile stress in the bar. (c) What is the magnitude of the applied torques \(T\)?