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Question

A 200 mm long, stress free rod at room temperature is held between two immovable rigid walls. The temperature of the rod is uniformly raised by 250oC. If the Young's modulus and coefficient of thermal expansion are 200 GPa and 1 x 105/oC, respectively, the magnitude of the longitudinal stress (in MPa) developed in the rod is
  1. 500

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Solution

The correct option is A 500
Given,

l=200mm;ΔT=250oC;α=1×105/oC

E=200GPa=200×103MPa, σ=?

σ=αΔTE=105×250×200×103 = 500 MPa


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