Application of nonlinear deformation model for the calculation of reinforced concrete elements under transverse bending

Abstract

The article presents the results of numerical studies of the strength, crack resistance and deformations of reinforced concrete elements under transverse bending. The research was carried out on the basis of nonlinear deformation model using techniques codes of rules SP 63.13330.2012 and Eurocode 2. The proposed approach to the use of the nonlinear deformation model for analyzing the stress-strain state of the beam in the transverse bending zone allows one to determine the position of the inclined crack, the coordinates of its beginning and the vertex, the magnitude of deformations of the longitudinal reinforcement at the beginning of the inclined crack and some other parameters. The calculation algorithm allows using both normalized and actual material deformation diagrams, including taking into account the creep of concrete under long-term load action. Calculation of the inclined cross sections for the action of shear forces according to the proposed procedure was carried out using dependencies that take into account the aggregate interlock forces in the inclined crack and the dowel force in the longitudinal reinforcement. The calculated values of the strength of inclined sections, deformations of concrete and reinforcement obtained according to the proposed procedure and by the techniques codes of rules SP 63.13330.2012 and Eurocode 2 was compared with the results obtained in the testing of samples without transverse reinforcement. Proposals are given on the use of a nonlinear deformation model for calculating the strength, crack resistance and deformations of reinforced concrete elements in transverse bending.