A theory has been developed to predict the static response of wire rope subjected to tension, torsion and bending. This type of loading occurs frequently in ropes wrapped around sheaves. Since the rope is generally restrained against rotation, a twisting moment is developed in the rope in addition to the tension and bending. Equilibrium requires that a uniformly distributed couple per unit length be applied to the rope. Expressions are presented for the significant stresses in the rope. The results can be extended so as to include more complex cross sections other than the single lay rope considered herein.
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Costello et al. (1982) studied this question.