Civil Engineering MCQAE Level Civil Engineering

A compound bar: steel rod (1000 mm², E = 200 GPa) and copper tube (2000 mm², E = 100 GPa), same length, rigidly connected, total load 300 kN. Stress in steel is:

Strength of MaterialsCompound Bar StressMEDIUM

Choose the correct answer

A

100 N/mm²

B

120 N/mm²

C

150 N/mm²

D

200 N/mm²

Correct Answer

C. 150 N/mm²

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Same elongation: Ps/Pc = (As×Es)/(Ac×Ec) = (1000×200,000)/(2000×100,000) = 1 → Ps=Pc=150,000 N; σs=150,000/1000=150 N/mm²

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