Chapter 6, Problem 6.30P

Interpretation Introduction

Interpretation:

Diameter and the length of a steel cable are 1.25 in. and 50 ft. respectively. This cable can lift a load of 20-ton without any permanent deforming. The length of the cable during lifting is to be determined. The modulus of elasticity of cable is 30×10⁶ psi.

Concept introduction:

Concept of stress, strain and the Hooke's law will be used for the calculations. Formulas are given below-

$\sigma (stress)=\frac{F}{A}$

  $\epsilon (strain)=\frac{\Delta l}{l}$

And Hooke's law-

$\sigma \propto \epsilon$