(Solved): (25pts) A 50mm diameter solid shaft is rigidly supported at end A. Looking at it from end B, it i ...

(25pts) A $50\mathrm{mm}$ diameter solid shaft is rigidly supported at end A. Looking at it from end B, it is subjected to a distribute clockwise torque load of $200\mathrm{N}?\mathrm{m}/\mathrm{m}$ from $A$ to $C$, and a point counter-clockwise torque load at $\mathrm{C}$ of $250\mathrm{N}?\mathrm{m}$. Assume $\mathrm{G}=80\mathrm{GPa}$. d. What is the supporting torque at A and is it clockwise or counter-clockwise when observed from end $B$ ? e. Find expressions for the torque from end $A$ to end $B$. f. Find expressions for the angle of twist from end $A$ to end $B$. g. What is the angle of twist at end $\mathrm{B}$ in radian? h. What is the maximum shear stress in MPa, and where does it occur?