Civil Engineering MCQJE Level Civil Engineering
A steel bar of length 2 m is heated through 30°C but is not allowed to expand. If E = 200 GPa and α = 12 × 10⁻⁶ /°C, the thermal stress developed is:
Strength of MaterialsStrength of MaterialsMEDIUM
Choose the correct answer
A
36 MPa
B
144 MPa
C
72 MPa
D
48 MPa
Correct Answer
C. 72 MPa
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Thermal stress σ = E·α·ΔT (compressive when expansion is restrained). σ = 200,000 × 12×10⁻⁶ × 30 = 72 N/mm² = 72 MPa compressive. The bar wants to expand but is restrained, so it gets compressed. Length does not enter the thermal stress formula.
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