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A mild steel bar of square cross-section 25mm×25mm is 1 m long. It is subjected to bi-axial stress σx=480 N/mm2 (Tension) and σy=400 N/mm2(Compression). E=2×105 N/mm2,μ=0.3, what is the elongation of the bar in mm in x direction?

A
1.0
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B
1.5
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C
2.0
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D
3.0
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Solution

The correct option is D 3.0
The elongation of the bar xdirection will be
ΔLL=σxEμσyE
ΔL=LE[σxμσy]
ΔL=10002×105[4800.3×(400)]
ΔL=3 mm

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