Civil Engineering MCQAE Level Civil Engineering

A stepped bar has cross-sections 1000 mm² over 1 m and 500 mm² over another 1 m, both carrying 100 kN compressive load (E = 200 GPa). Total shortening is:

Strength of MaterialsStepped Bar DeformationMEDIUM

Choose the correct answer

A

0.75 mm

B

1.0 mm

C

1.5 mm

D

2.0 mm

Correct Answer

C. 1.5 mm

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δ₁ = 100,000×1000/(1000×200,000) = 0.5 mm; δ₂ = 100,000×1000/(500×200,000) = 1.0 mm; total = 1.5 mm

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