$5-47$ A round shaft supports a transverse load of $F=66723\mathrm{.}324N$ and carries a torque of

$T=0\mathrm{.}791kN*m,$ as shown in the figure. The shaft does not rotate. The shaft is

machined from AISI $4140$ steel, quenched and tempered at $204C.$ Document the

location of the critical stress element and how you determined that element to be

critical. Do not assume transverse shear stress is negligible without proving it$.$ Then,

$($a$)$ determine the minimum factor of safety based on yielding according to the maximum$-$

shear$-$stress theory.

$($b$)$ determine the minimum factor of safety based on yielding according to the

distortion$-$energy theory.