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Question

A steel rod of length 1m and radius 10mm is stretched by a force 100kN along its length. The stress produced in the rod is then
(Ysteel=2×1011Nm2)

A
3.18×106Nm2
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B
3.18×107Nm2
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C
3.18×108Nm2
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D
3.18×109Nm2
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Solution

The correct option is C 3.18×108Nm2
Here r=10mm=10×103m=102m
L=1m,F=100kN=100×103N=105N
Stress produced in the rod is:
Stress=FA=Fπr2=100×103N3.14×(102m)2=3.18×108Nm2

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