Q. 27

# <span lang="EN-US

Given:

Temperature at which rod is unstrained: T1= 20 ° C
Increased Final Temperature : T2 = 50 ° C
Change in temperature : Δ T = T1 – T2 = 30 °C
Coefficient of linear expansion of steel: α = 1.2 × 10–5 °C–1.
Formula used:
Now we know that formula for linear thermal expansion of a body is:
Where ΔL is the Change in Length and L is the initial length at T1.
Substituting ,

But, Strain is Change in length divided by original length:

Hence, Longitudinal strain developed in the rod is 3.6 x 10

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