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A steel rod (Y = 2.0 × 1011 Nm–2; and α = 10–50 C–1) of length 1 m and area of cross-section 1 cm2 is heated from 0°C to 200°C, without being allowed to extend or bend. What is the tension produced in the rod?

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Because of the increase in temperature the increase in length per unit length of the rod is

Δl/lo = αΔT = 10-5 x 2 x 10-2 = 2 x 10-3

Let the compressive tension on the rod be T and the cross sectional area be a, then

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