### Calculation of dynamic load impact on reinforced concrete arches in the ground

Pages 35-43

Concrete arches are widely used in the construction of underground facilities. The analysis of their work under dynamic loads (blasting, shock, seismic) will improve the efficiency of design and application. The article addresses the problems of calculation of reinforced concrete arches in the ground in terms of the action of dynamic load - compression wave. The calculation is made basing on the decision of a closed system of equations that allows performing the calculation of elastic-plastic curved concrete structures under dynamic loads. Keeping in mind the properties of elastic-plastic reinforcement and concrete in the process of design variations, σ-ε diagrams are variable. The calculation is performed by the direct solution of differential equations in partial derivatives. The result is based on a system of ordinary differential equations of the second order (expressing the transverse and longitudinal oscillations of the structure) and the system of algebraic equations (continuity condition of deformation). The computer program calculated three-hinged reinforced concrete arches. The structural calculations were produced by selection of the load based on the criteria of reaching the first limit state: ultimate strain of compressed concrete; ultimate strain tensile reinforcement; the ultimate deformation of the structure. The authors defined all the characteristics of the stress-strain state of the structure. The presented graphs show the change of bending moment and shear force in time for the most loaded section of the arch, the dependence of stresses and strains in concrete and reinforcement, stress changes in time for the cross-sectional height. The peculiarity of the problem is that the action of the load provokes the related dynamic forces - bending moment and longitudinal force. The calculations allowed estimating the carrying capacity of the structure using the criteria of settlement limit states. The decisive criterion was the compressive strength of concrete.

DOI: 10.22227/1997-0935.2016.1.35-43

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