Problem $1.$ Two solid cylinders $AB$ and $BC$ are bonded together at $B$ and attached to fixed supports at A and $C.$ Determine the maximum shearing stress in the cylinder $AB$ and $BC$ when loaded as shown with $12\mathrm{.}5$ kip $.$in$.$ The modulus of rigidity $G$ for brass is $6{10}^6$ psi and $4{10}^6$ for aluminum.