Example $3$

Given:

The solid shaft of length ${56}^{\text{'}\text{'}}$ and radius ${1\mathrm{.}5}^{\text{'}\text{'}}$ is subjected to a linearly distributed torque between points B & C$.$ The shaft is made of steel $(G=11,000$ksi $).$

Find:

The angle of twist at $C$

Soln:

The shaft can be split into two sections and the angles of twist added together.

The torques are as follows...

$T_{AB}=$