General nonlinear equilibrium equation solution of the straight wire strand

The most analyses of wire ropes are based on the well known classical treatise on elasticity by Love in 1944. A general theory of thin rods are included and investigated extensively. General equilibrium equations of a thin rod on arc length are derived and presented. The analytical and numerical solutions of wire ropes are based on the equilibrium equations as the starting point for the solutions in most of the papers. Helical rod model is first introduced by Phillips and Costello based on the equilibrium equations given by Love. General nonlinear equilibrium equation solution of the straight wire strand is given in this study and showed that it is harmonious with the results presented by Costello.