Analytical solutions for static elastic deformations of wire ropes

This paper develops closed-form solutions for extension of twisted wire r opes subjected to axial forces for two different end conditions. The analytical results are compared with the corresponding n umerical results obtained by Costello and Phillips. A close agreement between the two establishes validity of the analytical solutions. Finally, an expression for the effective rigidity modulus o f the wire ropes is obtained in terms of the helix angle and the number of helical wires in the rope for each of the two end conditions.