Problem $2$: $[40$ marks$]$

For the part shown in Fig. below,

I. Draw Free body diagram showing the magnitudes of all applied loads, reaction forces$/$moments$,$ and parts

dimensions$)[5$ Marks$]$

II$.$ Draw Shear force and bending moment diagram $[5$ Marks$].$ Please indicate the critical location for failure of part.

$[5$ Marks$]$

$\{$Hint: In some cases, you may have to draw FBD and BM diagrams in two different orthogonal planes$\}$

III. Is the critical stress element for the part's failure located at the point $p,q,r$ or $s?$ If stresses at those points are

not critical, indicate the critical point on the sketch. $[5$ Marks$]$

IV$.$ Sketch the critical stress element and show the magnitudes and directions of all its stress components. $[10$

Marks$]$

V$.$ Determine the principal and maximum shear stresses for the element in V$.[10$ Marks$]$

$\{$Hint: you can use adopt either of the two methods: i$)$ stress transformation equations, ii$)$ Mohr's circle for

calculating the principal and shear stresses