Question

A steel rod has a radius R of 9.5 X10-'m and length L of 0.81 m. A 62 kN force stretches а it along its length. What are the stress on the rod, the elongation andthe strain of the rod? Given that Young's modulus Y for steel is 2 X 10' N/m2
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Answer 1

Given that,

Radius r=10mm

Length l=1.0m

Force F=100kN

Young modulus Y=2.0×10

11

Nm

2

Now, the stress is

Stress =

3.14×10

2

m

2

100×10

3

N

=3.18×10

8

Nm

−2

Now, the elongation is

ΔL=

AY

FL

ΔL=

2.0×10

11

3.18×10

8

×1

ΔL=1.59×10

−3

m

ΔL=1.59mm

Now, the strain is

Strain

=

L

ΔL

=

1.0

1.59×10

−3

=1.59×10

−3

Hence, this is the required solution.