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Q.

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

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a

0.16%

b

0.32%

c

0.08%

d

0.24%

answer is A.

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Detailed Solution

Given : F=100  kN=105N       Y=2×1011Nm−2   ℓ0=1.0m Radius r=10mm=10−2m  From formula, Y=StressStrain⇒   Strain=StressY=FAY =105πr2Y=1053.14×10−4×2×1011=1628      Therefore % strain =1628×100=0.16%
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