If a solid shaft having a diameter d is subjected to a

Chapter 10, Problem 10-87

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If a solid shaft having a diameter d is subjected to a torque T and moment M, show that by the maximum-shear-stress theory the maximum allowable shear stress is \(\tau_{\text {allow }}=\left(16 / \pi d^{3}\right) \sqrt{M^{2}+T^{2}}\). Assume the principal stresses to be of opposite algebraic signs.

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