Problem $2.[40$ pts$]$ A hollow, circular rod is made up of both silver and gold. Both materials are welded at $B$ and are fixed to a rigid wall at both A and $C.$ If an external torque of $10kN-m$ is applied at $B,$ calculate the $($a$)$ reactions at each support $($ A and $C).$ Calculate $($b$)$ the maximum shearing stresses in each metal $(2$ answers$)$ and finally $($c$)$ the angle of twist at point $B({}_B).$

Material properties where G is shear modulus are: $G_{\text{s}\text{i}\text{l}\text{v}\text{e}\text{r}}=28$ GPa & $G_{\text{g}\text{o}\text{l}\text{d}}=27$GPa.