A $45-$mm$-$diameter solid steel shaft supports loads $P_A=1\mathrm{.}5kN$ and $P_C=3\mathrm{.}1kN$ as shown. Assume that $L_1=115mm,L_2=230mm,$ and

$L_3=165mm.$ 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$)T_{\text{m}\text{a}\text{x}}=$

MPa

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

MPa