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Question

A structural steel rod has a radius of 10 mm and a length of 1.0 m. A 100 kN force stretches it along its length. Calculate (a) stress, (b) elongation, and (c) strain on the rod. Young's modulus, of structural steel is 2.0×1011N m2

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Solution

Given that,

Radius r=10mm

Length l=1.0m

Force F=100kN

Young modulus Y=2.0×1011Nm2

Now, the stress is

Stress =100×103N3.14×102m2

=3.18×108Nm2

Now, the elongation is

ΔL=FLAY

ΔL=3.18×108×12.0×1011

ΔL=1.59×103m

ΔL=1.59mm

Now, the strain is

Strain

=ΔLL

=1.59×1031.0

=1.59×103

Hence, this is the required solution.


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