All Problems

Elastic deformations

Problem 1.306

Calculate the torque \(N\) twisting a steel tube of length \(l=\) \(=3.0 \mathrm{~m}\) through an angle \(\varphi=2.0^{\circ}\) about its axis, if the inside and outside diameters of the tube are equal to \(d_{1}=30 \mathrm{~mm}\) and \(d_{2}=\) \(=50 \mathrm{~mm}\)

Reveal Answer
N=π(d24d14)Gφ/32l=0.5kNmN=\pi\left(d_{2}^{4}-d_{1}^{4}\right) G \varphi / 32 l=0.5 \mathrm{kN} \cdot \mathrm{m}