A composite shaft is formed by bonding a solid cylinder of d

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.

Solution

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