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Required Information

The solid cylinders $AB$ and $BC$ are bonded together at $B$ and are attached to fixed supports at A and $C.$ The modulus of rigidity is $3\mathrm{.}5\frac{{10}^6}{p}sI$ for aluminum and $5\mathrm{.}4\frac{{10}^6}{p}sI$ for brass. If $T=13\mathrm{.}5$kIp$-$In$,a=1\mathrm{.}3In.$ and $b=2\mathrm{.}3in.,$ determine

$($a$)$ The reaction torque at $A$

$($b$)$ Maximum shear stress in BC

Assuming the reaction torque at $A$ is express the magnitude of

$($I$)$ the internal reaction torque from $A$ to $B$ as