Question:
A steel rod of length 1 m and area of cross-section 1 cm2 is heated from 0oC to 200oC without being allowed to extend or bend. What is the tension produced in the rod?
Solution:
Young’s modulus of steel, Y = 2.0 × 1011 N/m2
Coefficient of thermal expansion, α = 10-5 oC-1
Length, L = 1 m
Area of cross section A = 1 cm2 = 1×10-4 m2
Rise in temperature = 200oC
Tension produced in rod by the compression is
Y = (T/A)/(∆L/L)
T = 4 × 104 N