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Question

A 10 mm diameter mild steel bar of 1.5 m is stressed by a weight of 120 N dropping freely through a distance of 20 mm before commencing to strech the bar. The maximum instantaneous elongation in bar E=2×105 MPa.

A
1.95 mm
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B
0.688 mm
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C
2.037 mm
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D
3.03 mm
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Solution

The correct option is B 0.688 mm
d=10 mm;l=1500 mm;W=120 N;h=20 mm

E=2×105 MPa A=π4d2=78.54 mm2

(σinst)max=WA[1+1+2AEhWL]

=12078.541+1+78.54×2×105×20120×1500

=91.86 MPa

δLinst=σinstLE=91.86×15002×105=0.688 mm

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