$!$

Required Information

The solid spindle $AB$ has a diameter $d_S=1\mathrm{.}6in.$ and is made of a steel with an allowable shearing stress of $17$ksI, while sleeve $CD$ is made of a brass with an allowable shearing stress of $7$ksI, outer diameter $a=2\mathrm{.}5in.$ and thickness $t=0\mathrm{.}15in.$ Determine the allowable torque $T$ that can be applied at $A.$

Using FBD$/$equilibrium equations for appropralte cut sections between $A$&$B$ and between $C$&$D,$ the magnitude of the internal reaction $T_{AB}=0\mathrm{.}211T$ and the magnitude of the internal reaction $T_{CD}=,T$