Problem $2($Ch$3-$ Torsion$)$

A torque of magnitude $T=4kN*m$ is applied at end A

of the composite shaft shown. Knowing that the modulus

of rigidity is $77\mathrm{.}2$ GPa for the steel and $27$ GPa for the aluminum,

determine:

Write an equation for torque carried by steel core.

Write an equation for torque carried by aluminum jacket.

What is the GJ value for steel core? $64\mathrm{.}45kN-m^2$

What is the GJ value for aluminum jacket? $48\mathrm{.}70kN-m^2$

Write an equation for the total torque.

What is the maximum shearing stress in the steel core? $[73\mathrm{.}7$ MPa$]$

What is the maximum shearing stress in the aluminum jacket? $[34\mathrm{.}4$ MPa$]r_S=\frac{54}{2}=27$

What is the angle of twist at $A?[5\mathrm{.}06[$:$$