$($adapted from Hibbeler $\backslash (10^\{\backslash$text $\{$th $\}\}\backslash )$ ed$.$ prob. $5-143)$

A steel alloy core is bonded firmly to the copper alloy tube to form the shaft shown. If the materials have the $\backslash (\backslash$tau$-\backslash$gamma $\backslash )$ diagrams shown, determine...

a$.$ the portion of the torque resisted by the core and the portion of the torque resisted by the tube.

b$.$ the angle of twist under the given torque.

c$.$ the angle of twist when the given torque is subsequently removed.

d$.$ the residual stress magnitude in$...$

i$.$ the outer surface of the steel core

ii$.$ the inner surface of the copper tube

iii. the outer surface of the copper tube

Steel Alloy

Copper Alloy