In the world of civil engineering, wire ropes are used in the structure of many structures. The main function of wire ropes in a structure is to transmit tensile forces or to put in compression the pre-stressed concrete. As they are important structural elements, they are subjected to mechanical, thermal and environmental stresses. A nonlinear transient model based on a sequentially coupled thermo-mechanical field analysis code has been developed in the ANSYS parametric design language, This model allows among other things to account for the effects of wire cross-section variations on contact-friction interactions, The ultimate goal is to determine the effects of mutual mechanical behavior using an analysis of variance (ANOVA) of the Taguchi method, a total of three parameters are considered with mixed levels and mixed factors and an orthogonal L27 network are generated. The objective of our work is to optimize the base material (E), friction (f) and temperature (T) to obtain the target structure.