Requlred Information

The solid spindle $AB$ has a diameter $d_s=1\mathrm{.}7in.$ 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 $a=2\mathrm{.}6in.$ and thickness $t=0\mathrm{.}23in.$

Determine the allowable torque $T$ that can be applied at $A.$

FBD & Equillibrlum equations

Using the FBDs$,$ of cut sections between A&B and between C&D$.$ shown

${\displaystyle \underset{?}{\overset{?}{}}}{M}_x=0=>T_{AB}=T$

${\displaystyle \underset{?}{\overset{?}{}}}{M}_x=0=>T_{CD}=T$

If the shear stress in $AB$ should not exceed $17($ksi$),$ the applied torque $T$