Problem $03\mathrm{.}059-$ Torque applied to a shaft with a jacket

The steel jacket CD has been attached to the $40-mm$ diameter steel shaft AE by means of rigid flanges welded to the jacket and to the

rod. The outer diameter of the jacket is $80$ mm and its wall thickness is $4$ mm $.$ If $460-N-$m torques are applied as shown, determine the

maximum shearing stress in the jacket.

The maximum shearing stress in the jacket is

$10\mathrm{.}99$ MPa $.$