A compound bar is made up of two bars of identical length. The steel bar has a cross-sectional area of 3500 mm², while the brass bar has a cross-sectional area of 3000 mm². Both bars are subjected to a compressive force of 100,000 N. Given that the modulus of elasticity for brass (Eb) is 0.2 MN/mm² and for steel (Es) is 0.1 MN/mm², what are the resulting stresses in the brass and steel bars respectively?

Theory of Structures MCQs for PPSC, FPSC, NTS, and Pakistan government job tests. Select an option below, then read the explanation.

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Theory of Structurescivil-engineering-mcqs › theory-of-structures
Published
17 Jan 2019
Last updated
28 May 2026

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Explanation

To find the stresses in the compound bars, use the compatibility of deformation and equilibrium of forces. Since the bars are of equal length and subjected to the same load, the strain in both bars is equal. Using the relation stress = modulus × strain and considering areas and moduli, the stresses are calculated as Brass = 10 N/mm² and Steel = 20 N/mm².

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