About stresses in the cable during load hoisting

Abstract

The calculation of a cable for strength is in practice somewhat conditional. It is based on the ratio of the breaking load to the static load, which is called the safety coefficient and the smallest value of which is established by the safety rules for lifting. Having set the value of this coefficient and using it to find the number and diameter of the wires , then we perform a verification of the safety factor, partially taking into account the actual stresses in the cable. However, since the latter are not completely taken into account, such a verification cannot give a sufficiently clear idea of ​​the actual value of the safety factor. In the present study we limit ourselves to small lifting heights, bringing the question to the integration of a third-order ordinary differential equation.