A rod of length 2m and cross sectional area 8x 10–6m2 is clamped between two rigid supports. If the wire is heated through, 25°C, then find the thermal stress and compressional force set up in the wire. The Young's modulus of rod is 2x1011N/m2 and its coefficient of linear expansion is 1.6 x 10–5 s per°C.
Length of the rod = 2 m
Cross-sectional area = 8 m2
Tempertaure, T = 25o C
Young's modulus of the rod, Y = 2x1011N/m2
Coefficient of linear expansion = s per°C.
Thermal stress set up in the wire is,
Compressional force is given by,