A $40-$mm$-$diameter solid steel shaft supports loads $P_A=1\mathrm{.}7kN$ and $P_C=3\mathrm{.}3kN$ as shown. Assume that $L_1=180mm,L_2=395mm,$ and $L_3=285mm.$ The bearing at $B$ can be idealized as a roller support, and the bearing at $D$ can be idealized as a pin support. Determine the magnitude of

$($a$)$ the maximum horizontal shear stress in the shaft.

$($b$)$ the maximum tension bending stress in the shaft.

Answers:

$($a$)I_{\text{m}\text{a}\text{x}}=$ MPa

$($b$){}_{\text{m}\text{a}\text{x}}=$