Question $1(40$ points$)$: A steel pipe three $(3)$ feet in length is fixed on both ends and loaded as shown below. The pipe has an outside diameter of $2\mathrm{.}0$ inches and a wall thickness of $0\mathrm{.}150$ inches. The input torque is $T_{in}=10$ kip$-$in and is applied at point C $,$ which is two $(2)$ feet from fixed end A $.$

Question $1$A $(5$ of $40$ points$)$: Assuming $E=30,000$ksi and $v=0\mathrm{.}30,$ determine the shear modulus $G.$

Question $1$B $(10$ of $40$ points$)$: Determine the reactions at mounting points A and $B.$

Question $1$C $(10$ of $40$ points$)$: Determine the angular deflection $$ at the load application point $C.$

Question $1$D $(10$ of $40$ points$)$: Determine the maximum shearing stress in the pipe ${}_{\text{m}\text{a}\text{x}}.$

Question $1$E $(5$ of $40$ points$)$: Determine the maximum shearing strain in the pipe ${}_{\text{m}\text{a}\text{x}}.$