Bending analysis of a wire strand analytic model

An analytical approach, using the spatial beam theory, to determine the mechanical response of cables is proposed in this work. Experimental results are limited and expensive to be obtained and there is a lack of good benchmarks solutions to check the FEM models before starting complex analysis. Therefore, in order to obtain the results the parametric spatial description were derived for one strand, considering one wire surrounding a core, since the response of all wires are similar. Solving the differential equilibrium equations of the spatial beam theory and applying bending loads it was possible to obtain the mechanical response of the wire. Six loading cases were analyzed for the wire helix analytically and numerically. Good results were obtained when the both methodologies were compared for the cable bending.