A rectangular bar 30-mm wide and 24-mm thick made of aluminum ...
E = 70 GPa
α = 23.0 × 10-6/°C
... and two rectangular copper bars 30-mm wide and 12-mm thick ...
E = 120 GPa
α = 16.0 × 10-6/°C
... are connected (in the longitudinal direction) by two smooth 11-mm diameter pins.
When the pins are initially inserted into the bars, both the copper and aluminum bars are stress free.
After the temperature of the assembly has increased by 65°C:
a) Determine the internal axial force in the aluminum bar.
b) Determine the normal strain in the copper bars.
c) Determine the shear stress in the 11-mm diameter pins.