Q$2.$ A short, cantilevered round peg with a diameter of $40$ mm extends $10$ mm from the wall. It is

loaded with a force F$=50$kN applied at the tip in the negative z direction and a torque T$=800$

N$-$m$.$ The cross$-$section at the wall is shown with points of

interest A$,$B$,$ and C$.$

$($a$)$ Calculate the magnitudes of the stresses acting on each point, A$,$ B$,$ and C$.$

$($b$)$ Find the maximum shear stresses $($i$.$e$.,$ from Mohr's circle$)$ for points A$,$ B$,$ and C$.$

$($c$)$ Which point is most critical, A$,$ B$,$ or C$?$ Why?