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*Example:
A
brass, circular bar with a diameter, d, of 10 mm is subjected to an axial
load,
P, of 25 kN. The gage
length, L, between points A and B on the bar (shown below) is 50 mm.
As a result of the axial
load the bar extends 0.152 mm. Poisson’s
ratio, ν, for brass is 0.34.
Assume response of the
bar is in the elastic range. Find
the modulus of elasticity, E, and
the change in diameter
of the bar, ∆d.
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Strategy: Calculate
the axial stress, σ, , and the axial strain,ε,
then apply Hooke’s Law,
σ = Eε . Next
calculate the lateral strain using Poisson’s ratio. Use it to calculate the
change in length of the
diameter.
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