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A steel bar is held by two fixed supports as shown in the figure and is subjected to an increase of temperature ∆T = 100°C. If the coefficient of thermal expansion and Young's modulus of elasticity of steel are 11 × 10-6/°C and 200 GPa, respectively, the magnitude of thermal stress (in MPa) induced in the bar is _____.
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- -220mPa
- -2190mPa
- 220mPa
- 219mPa
Correct Option: A
ε = -α∆T
σ = Eε = - 200 × 11 × 10-6 × 100 = -220mPa