Sufficiently general technique for calculating strength based on mathematical concrete plasticity theory apparatus, variational method with virtual velocities principle application, discontinuous solutions, and ultimate load magnitude upper estimate is proposed. Ultimate state simultaneous existence condition on failure entire surface is criterion for plasticity theory applicability. Strength problems of flat and spatial concrete and reinforced concrete elements are solved under crushing, shear

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... and punching shear for various loading applications, and punching shear slabs by central and eccentric load. The adopted kinematic destruction schemes reflect specifics of problems under consideration and allow us to take into account factors determining strength. Results of experimental researches that confirming cases of failure elements taken are adduced. Higher convergence of theoretical strength with an experimental one was obtained in comparison with calculation according to the norms.