A composite shaft is formed by bonding a solid cylinder of diameter di to a holl

Question

A composite shaft is formed by bonding a solid cylinder of diameter di to a hollow cylinder of inner diameter of di and outer diameter do. The solid cylinder is made of material 1 and hollow cylinder is made of material 2. If the composite cylinder has a constant internal torque of T, determine the shear stress in each of the two materials.

Hint: For this problem, start with the Hooke’s law step in the derivation of the shear-stress and angle of twist formulae in the class.

Next,assumethatG1 =80GPa,G2 =40GPa,T =5000N-m,di =6cmanddo =9cm. Usethe formulae derive in the above to determine the maximum shear stresses in each of the two materials.

Explanation / Answer

The answer of the following question is as follows

The maximum shear stresses in each of the two materials are 65 GPa and 40 Gpa

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