Problem $3$:

A solid rod with a length of $600$ mm is subjected to a uniformly distributed torque of $t_0=$

$1\mathrm{.}5kN.\frac{m}{m},$ as shown in the figure below:

a$)$ Determine the rod's minimum required diameter $d$ if the material has allowable

shear stress of tallow $=75$MPa.

b$)$ If the rod diameter is $40$ mm and its allowable shear stress of tallow $=75$MPa,

determine the maximum allowable intensity $t_0$ of the uniformly distributed torque.