Project ForgeStrength of Materials
Stress & Strain
GATE 2017
Medium
A steel bar is held by two fixed supports and is subjected to an increase of temperature ΔT=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 __________.
220 MPa(± 2 accepted)
Explanation
Fully restrained bar: σ = EαΔT = 200×10⁹ × 11×10⁻⁶ × 100 = 220×10⁶ Pa = 220 MPa.
Source: GATE ME 2017 Session 2 (ME-2) (2017)
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