All Problems

Elastic deformations

Problem 1.312

Find the elastic deformation energy of a steel rod whose one end is fixed and the other is twisted through an angle φ=6.0\varphi=6.0^{\circ}. The length of the rod is equal to l=1.0 m,l=1.0 \mathrm{~m}, and the radius to rr =10 mm=10 \mathrm{~mm}

Reveal Answer
U=1/4πr4Gφ2/l=7 JU=1 / 4 \pi r^{4} G \varphi^{2} / l=7 \mathrm{~J}