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Q5. A compound bar has a cross section of 100 mm by 120 mm. It consists of a rectangular piece of steel of cross section 100 mm by 40 mm fastened to a rectangular piece of copper of the same length and of cross section 100 mm by 80 mm. There are no stresses in either material at ambient temperature. The compound bar is then raised through a temperature change of 85°C.

Calculate EACH of the following:

(a) the stresses in both the steel and the copper after the temperature change, both magnitude and nature; (10)

(b) the change in length of the compound bar after heating if the length at ambient temperature is 1 meter. (6)

Note:

For Steel Modules of Elasticity = 210 GN/m²

Coefficient of linear expansion= 12×10^^-6/°C

For Copper Modules of Elasticity = 100 GN/m²

Coefficient of linear expansion= 18×10^-6/°C