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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 250°C. If the Young's modulus and coefficient of thermal expansion are 200 GPa and 1 × 10-5/°C, respectively, the magnitude of the longitudinal stress (in MPa) developed in the rod is _______
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- 500 MPa
- 4990 MPa
- 501 MPa
- 350 MPa
Correct Option: A
l = 200, ∆T = 250°C, α = 1 × 10–5°c
E = 200 GPa = 200 × 103 MPa
σ = α∆TE = 1 × 10–5 × 250 × 200 × 103
= 500 MPa.
