A structural steel rod has a radius of 10 mm and length of 1m a hundred kilo Newton force stretches it along it's length find the 1. stress 2. elongation 3.strain
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A structural steel rod has a radius of 10 mm and length of 1m a hundred kilo Newton force stretches it along it's length find the 1. stress 2. elongation 3.strain
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Answer:
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.
Explanation:
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