All Problems Elastic deformations
Problem 1.298
A copper rod of length \(l\) is suspended from the ceiling by one of its ends. Find: (a) the elongation \(\Delta l\) of the rod due to its own weight; (b) the relative increment of its volume \(\Delta V / V\).
1.298. (a) \(\Delta l=1 / 2 \rho g l^{2} / E ;\) (b) \(\Delta V / V=(1-2 \mu) \Delta l / l,\) where is the density, and \(\mu\) is \(\vec{P}\) oisson's ratio for copper.