High competition in the field of mechanical engineering requires the manufacture of lightweight thin-sheet structures made of high-strength steels, ensuring the geometry of certain accuracy. It is possible to ensure the given geometry by improving the residual deformation reduction measures. Based on the analysis of clamping rigidity influence on the stress-strain state of an assembly, the deformation reduction has been investigated by means of computer simulation by finite element method. A clamping model was obtained, which makes it possible to regulate the level of residual stresses and deformations confirmed experimentally