First slide
Thermal expansion
Question

A rod of steel is 5m long and 3cm diameter at a temperature of 20°C. Find the free expansion of the rod when the temperature is raised to 65°C. Find the respective pulls exerted if (i) the ends do not yield and (ii) the ends yield by 0.12 cm. Y=2×105MN/m2 and α=12×106 per °C

Moderate
Solution

 If the ends do not yield then F = YA T

 If the ends yield by an amount e then =YA(dΔTe)l0

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