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Question

A tensile force of magnitude 200 kN is applied on the prismatic steel rod having radius 10 mm and length 1 m. If Young's modulus of steel is 2×1011 N/m2, find out the elongation in steel rod.

A
3.18 mm
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B
6.36 mm
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C
12.7 mm
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D
13.6 mm
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Solution

The correct option is A 3.18 mm
We know,
young modulus (Y)=FLAΔL
ΔL=FLAY
where F=200×103 N
L=1 m
A=πr2 [r=10 mm=0.01m]
=π(0.01)2
=3.14×104 m2
Y=2×1011 N/m2

ΔL=200×103×13.14×104×2×1011 m
=3.18×103 m=3.18 mm

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