A solid shaft and a hollow shaft are made of the same
Chapter 3, Problem 3.62(choose chapter or problem)
A solid shaft and a hollow shaft are made of the same material and are of the same weight and length. Denoting by n the ratio \(c_{1} / c_{2}\), show that the ratio \(T_{s} / T_{h}\) of the torque \(T_{s}\) in the solid shaft to the torque \(T_{h}\) in the hollow shaft is (a) \(\sqrt{\left(1-n^{2}\right)} /\left(1+n^{2}\right)\) if the maximum shearing stress is the same in each shaft, (b) \(\left(1-n^{2}\right) /\left(1+n^{2}\right)\) if the angle of twist is the same for each shaft.
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