The figure shows the front view and the cross section view of a brass link which is labeled 1. A steel rod labeled 2 is shown below. The inside length of the brass link is 250 millimeters. The width and the thickness of the brass link are 20 millimeters and 10 millimeters respectively. A 30 millimeters diameter steel rod is shown below. The length of the steel rod is 0.2 millimeters longer than the inside length of the brass link.

Use the force-temperature-deformation relationship

to compute the deformation in the steel rod:

Numeric values
Temperature change

ΔT = +20°C

Brass link (1)

L1 = 250 mm
A1 = 400 mm2
E1 = 105 GPa
α1 = 20.9 × 10-6/°C

Steel rod (2)

L2 = 250 mm
A2 = 706.86 mm2
E2 = 200 GPa
α2 = 11.7 × 10-6/°C