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The constructed mathematical model and the developed algorithm for spatial calculation of combined steel-reinforced-concrete truss systems make it possible to determine parameters of the stressed-strained state in the structures' elements. It is proven that the built mathematical model satisfies three groups of conditions: equilibrium; compatibility of deformations that link deformations and displacements; physical conditions that link efforts and deformations. Owing to the devised procedure, we performed theoretical calculations to establish the actual diagrams "bending moment ‒ deflection", "longitudinal force ‒ deflection" depending on the magnitude and place of application of external load. The derived equalities that determine coefficients for the unknowns in a system of linear algebraic equations include the topology parameters and strength characteristics of the structures' elements. That has allowed us to search, within the framework of the developed algorithm, for a minimum of the objective function of the equally-stressed state in the elements of a spatial structure. We investigated theoretically the strength and deformability of truss steel reinforced concrete structures for symmetrical and asymmetrical loads, taking into consideration the phased operation of the system. Employing an iterative search for a minimum of the objective function of the equally-stressed state at cross sections of the spatial structure's elements has helped establish a decrease in the normal stresses compared to the structures of other type. The results obtained made it possible to design actual construction structures. Therefore, there is reason to assert the practical significance of the constructed mathematical model and the developed algorithm, which were applied when designing the new, and recalculating existing, combined steel-reinforced-concrete truss systems

Theoretical research into spatial work of a steel-reinforced-concrete statically indeterminate combined structure