Question

A cylindrical aluminum core is surrounded by a titanium sleeve, and both are attached at each end to a rigid end-plate. Set up the fundamental equations and combine them in displacement-method order to solve for the following:
a) the elongation of the composite bar if the entire structure is heated by 1000F. Assume that the core and the outer sleeve are both stress free at the reference temperature.
b) the axial stress induced in each material.

Answer 1

Complete Question

The complete question is shown on the first uploaded image

Answer:

a) The elongation of the composite bar is given as δ = 0.072 in

b) The axial stress induced in each material is = 5485.7 psi

Explanation:

The explanation to the answer above is shown on the second uploaded image