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A $32-$mm$-$diameter solid steel shaft supports loads $P_A=1700N$ and $P_C=2680N,$ as shown. Assume $L_{AB}=102mm,L_{BC}=196mm,$ and $L_{CD}=148mm.$ 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:

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