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Q.

A structural steel rod has a radius of 10mm and length of 1.0m. A 100KN force stretches it along its length Young’s modulus of structural steel is 2×1011Nm−2 . The percentage strain is about

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a

0.24%

b

0.08%

c

0.32%

d

0.16%

answer is A.

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Detailed Solution

F=105N, l0=1m
y=2×1011Nm−2
=10−2m
Radius = 10mm 
Stress =stressy=FAy⇒105πr2y=1053.14×10−4×2×1011=1628
%  Strain  =1628×100=0.167

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