Assuming the reaction torque at $A$ Is $T_A(kIp.In)(!in),T_A<13\mathrm{.}5(kIp.In)$ and using the FBDs shown

$(p.In|)(p.In|)$

Assuming the reaction torque at $A$ is $(p.In|)(p.In|)$

$($I$)$ Express the magnitude of the angle of twist of $B$ relative to $A$ as

$($II$)$ Express the magnitude of the angle of twist of $C$ relative to $B$ as

$!$

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 $3\mathrm{.}5{10}^6$ for aluminum and $5\mathrm{.}4{10}^6$ 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 $BC$