The paper presents an algorithm for calculating the isotension parameters of bridge cables based on a nonlinear model of the mechanics of such systems. A cable consists of separate metal strands, and the isotension method ensures equal force between all strands in the cable, as well as the required total target force throughout the cable, corresponding to the force from the design calculation. The model used calculates the cable sag line and the forces in the anchor supports at each strand tension increment. The model takes into account such effects as the displacement of anchor points, nonlinear behavior of the cable, and the effect of mounting loads on the cable. The paper proposes an algorithm for solving the isotension problem based on the finite element method, employing a nonlinear cable-type finite element and a linear spring finite element, which accounts for the stiffness of the anchor supports. This algorithm was tested during the construction of a cable-stayed bridge across the Oka River on the M-12 highway in Murom. The calculation resulted in a relationship between the force in the anchor supports and the number of strands in the cable stays during their sequential tensioning. To assess the algorithm's accuracy, a comparison was made between the obtained and the designed target force after all strands had been installed.

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