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Problem $03\mathrm{.}053-$ Angles of twist and shearing stresses in a composite rod

A torque $T=43$kip$-$in$.$ is applied at end $A$ of the composite shaft shown. Know that the modulus of rigidity is $11\mathrm{.}2{10}^6$ for steel and $4{10}^6$ psi for aluminum.

Problem $03\mathrm{.}053.$a $-$ Angles of twist and shearing stresses in a composite rod

Determine the maximum shearing stress in the steel core.

The maximum shearing stress is ksi.

$$ Find max stress for the aluminmum shell

$$ determine the angle of twist at A