All Problems

Elastic deformations

Problem 1.313

Find how the volume density of the elastic deformation energy is distributed in a steel rod depending on the distance \(r\) from its axis. The length of the rod is equal to \(l\), the torsion angle to \(\varphi\).

Reveal Answer
u=1/2Gφ2r2/l2u=1 / 2 G \varphi^{2} r^{2} / l^{2}