A $29-$mm$-$diameter solid steel shaft supports loads $P_A=1080N$ and $P_C=2000N,$ as shown. Assume $L_{AB}=117mm,L_{BC}=201mm,$ and $L_{CD}=155mm.$ 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 ${}_{\text{m}\text{a}\text{x}}$ and location $x($measured positive to the left from $D)$ of the maximum bending stress in the shaft.

Answers:

${}_{\text{m}\text{a}\text{x}}=,$MPa,$x=,mm.$