Class exercise $4\mathrm{.}4$

A composite bar consists of a

$25$ mm steel rod surrounded by a

$50$ mm copper sleeve.

The rod and the tube are joined by

two $10$ mm diameter pins.

The temperature of the bar is raised by $50C.$

For steel:

$E=210$GPa and $={11}^{*}\frac{{10}^{-6}}{}C$

For copper:

$E=105$GPa and $={17}^{*}\frac{{10}^{-6}}{}C$

Find the magnitude of the axial stresses in the rod and tube