The changes in curvature in single and double helices as they are bent into circular arcs are derived from first principles. This analysis is applied to wire ropes to examine the bending strains in the wires of a frictionless rope as it is bent over a sheave. It is shown that the free bending strains in the wires in the innermost layer of a strand in a rope taken as an example are higher than those in the outer layer wires, while the second wire layer has the lowest bending strains.
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