All Problems

Elastic deformations

Problem 1.311

What work has to be performed to make a hoop out of a steel band of length l=2.0 m,l=2.0 \mathrm{~m}, width h=6.0 cm,h=6.0 \mathrm{~cm}, and thickness δ=2.0 mm?\delta=2.0 \mathrm{~mm} ? The process is assumed to proceed within the elasticity range of the material.

Reveal Answer
A1/6π2hδ3E/l=0.08 kJA \approx 1 /_{6} \pi^{2} h \delta^{3} E / l=0.08 \mathrm{~kJ}