This article describes a computational method for determining the possible size of damage in the main elements of operated facilities that occurred in places inaccessible to direct measurements. The need for such calculations arises when assessing the bearing capacity of a structure in which any damage has occurred, as well as when designing reinforcement (repair) structures. The proposed method is based on the use of experimental data to measure changes in displacements in a core element when the magnitude of external forces changes. It is proposed, by changing the geometric parameters of the rod at the intended site of damage, to perform an iterative calculation of the stress-strain state and find the dimensions of the destroyed part. In this case, the schematic diagram of the study should be as follows: - additionally loading (or unloading) the structure, the increments of displacements in a certain selected section of the damaged (or other) rod are experimentally determined; - an area where damage is possible is selected on a part of the rod that is inaccessible to visual observation.; - a design scheme of the structure is being created, taking into account possible changes in the geometry of the rod on this site; - an iterative calculation of the stress-strain state of the core structure is carried out, the values of the length and geometry of the section of the damaged section are determined based on the condition of equality of theoretical calculations with experimental data. A mathematical model, method, and schematic diagram of the calculation of geometric damage parameters in rod systems inaccessible for visual inspection are presented. The mathematical model and calculation method proposed in the article are based on fairly general relations of the theory of rods, so they are quite versatile and can be used to diagnose damage in complex rod structures with various geometric and mechanical characteristics. The results of solving the problem are presented, illustrating the possibilities of the mathematical model used and the reliability of the data obtained.
CORE STRUCTURE, DAMAGE, MATHEMATICAL MODEL, VARIATIONAL METHOD, STRESS-STRAIN STATE



