A 2.0-m-long steel rod has a cross-sectional area of 0.30cm2. The rod is a part of a vertical support that holds a heavy 550-kg platform that hangs attached to the rod’s lower end. Ignoring the weight of the rod, what is the tensile stress in the rod and the elongation of the rod under the stress?
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Explanation:
σ=Stress and ε=strain
σ=
A
F
=
3×10
−5
m
2
(550kg)×(9.81m/s
2
)
=0.18㎬
ε=
l
0
Δl
=
Υ
σ
=
200×10
9
0.18×10
9
=9×10
−4
Δl=εl
0
=(9×10
−4
)(2m)=0.0018m=1.8mm
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