Problem $04\mathrm{.}115-$ Determine the reactions of a statically indeterminate bar in torsion

The steel shaft shown in the figure is subjected to a torque of $190$ lbf $-$in applied at point $A.$ Find the torque reactions at $O$ and $B,$ the angle of twist at $A,$ in degrees; and the shear stresses in sections $OA$ and $AB.$ In the figure shown below, $L_1=4\mathrm{.}500$ in and $L_2=5\mathrm{.}50in.$

The torque reactions at $O$ and $B$ are $$ Ibfin and $$ Ibfin, respectively.

The angle of twist at $A$ is $-($Round the final answer to three decimal places.$)$

The shear stresses in sections $OA$ and $AB$ are $$ kpsi and $$ kpsi, respectively. $($Round the final answers to three decimal places.$)$