A solid $2\mathrm{.}0in.6\mathrm{.}0in.$ rectangular shaft is made of steel $[G=11,500$ksi that has an allowable shear stress of $14$ ksi $.$ The shaft is used to transmit power from a tractor to farm implements, and it has a length of $9\mathrm{.}0$ ft $.$ Determine:

$($a$)$ the largest torque $T$ that may be transmitted by the shaft.

$($b$)$ the angle of twist in the shaft at the torque found in part $($a$).$

Answer:

$($a$)T=$ kip$*$in

$($b$)=$ rad