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Elastic deformations

Problem 1.297

A solid copper cylinder of length l=65 cml=65 \mathrm{~cm} is placed on a horizontal surface and subjected to a vertical compressive force F=1000 NF=1000 \mathrm{~N} directed downward and distributed uniformly over the end face. What will be the resulting change of the volume of the cylinder in cuhic millimetres?

Reveal Answer
1.297. ΔV=(1−2μ)Fl/E=1.6 mm3\Delta V=(1-2 \mu) F l / E=1.6 \mathrm{~mm}^{3}, where μ\mu is Poisson's ratio for copper.
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