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Q2. A hollow brass tube, 24 mm outside diameter and 12 mm inside diameter is 260 mm long and at a temperature of 18°C. It is then heated to 180°C and then rigidly secured at each end to prevent any contraction. Calculate EACH of the following:

(a) The length of the tube immediately after heating;

(b) The temperature to which the tube must be cooled so that the stress in the brass is 55 MN/m²;

(c) The strain energy in the bar at this lower temperature.

Note: Modulus of Elasticity for Brass = 80 GN/m²

Coefficient of linear expansion of Brass = 16 x 10^-6/℃.