longitudinal-transverse bending, bar, ultimate deformation, concrete, concrete deformation diagram, tension, compression, Bubnov-Galerkin method, systems of nonlinear algebraic equations.

The paper considers multilayer concrete rods of constant cross-section. The deformation law for each layer of the bar is adopted as an approximation by a third-order polynomial. It is assumed that quasi-static longitudinal and transverse loads and gravity act on the restrained rod. The problems under consideration are solved by the Bubnov-Galerkin method.

Nemirovskii Yuri Vladimirovich, Dr. Sci. Phys. & Math., Professor, Leading Research Worker, S. Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the RAS, Novosibirsk, Russia, Novosibirsk state technical University, Novosibirsk, Russia.

Tikhonov Sergey Vladimirovich, PHD, Assoc. Prof., I. Ulyanov Chuvash State University, Cheboksary, Russia