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## Q. 12.14

Redo the above problem assuming the shaft to be of a ductile material where maximum shear stress governs the failure of the shaft.

## Verified Solution

Obviously, for the above problem, the maximum shear stress is

$(\tau)_{\max }=\sqrt{\left\lgroup \frac{\sigma_n}{2} \right\rgroup^2+\tau^2}$

or            $(\tau)_{\max }=\frac{16}{\pi d^3} \sqrt{M^2+T^2}=\frac{16 T_{ e }}{\pi d^3}$

where

$T_{ e }=\sqrt{M^2+T^2}$