All Problems

Elastic deformations

Problem 1.297

A solid copper cylinder of length \(l=65 \mathrm{~cm}\) is placed on a horizontal surface and subjected to a vertical compressive force \(F=1000 \mathrm{~N}\) 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. \(\Delta V=(1-2 \mu) F l / E=1.6 \mathrm{~mm}^{3}\), where \(\mu\) is Poisson's ratio for copper.