All Problems

Elastic deformations

Problem 1.298

A copper rod of length ll is suspended from the ceiling by one of its ends. Find: (a) the elongation Δl\Delta l of the rod due to its own weight; (b) the relative increment of its volume ΔV/V\Delta V / V.

Reveal Answer
1.298. (a) Δl=1/2ρgl2/E;\Delta l=1 / 2 \rho g l^{2} / E ; (b) ΔV/V=(1−2μ)Δl/l,\Delta V / V=(1-2 \mu) \Delta l / l, where is the density, and μ\mu is P⃗\vec{P} oisson's ratio for copper.
Prev
Next