Prob. $3(9\mathrm{.}7)(3)$

A solid steel shaft carries belt tensions $($at an angle $$ from the $y$ axis in the $yz$ plane$)$ at pulley C$,$ as shown in Figure P$9\mathrm{.}7.$ For $=0$ and a factor of safety of $n$

Find:

a$.$ The reaction force at $A$&$B.$ Draw the bending moment & torsion diagram in $xy$ plane. $(1)$

b$.$ Shaft diameter using the Maximum shear stress failure criteria $(1)$

c$.$ Shaft diameter using the Maximum energy of distortion failure criteria $(1)$

Given: $S_y=250$MPa,$n=1\mathrm{.}5.$