Calculation of deflections of bent reinforced concrete elements on the basis of a nonlinear deformation model taking into account the forces of adhesion of reinforcement with concrete

Abstract

The purpose of this work is to numerically implement the calculation of deflections of bent reinforced concrete elements based on a nonlinear deformation model and taking into account the characteristics of reinforcement coupling with concrete. Most of the existing engineering methods for calculating bendable elements are based on approaches based on the determination of integral stiffness characteristics of the section by simplified methods. This problem acquires new relevance when using the current norms, when it is necessary to take into account the features of nonlinear deformation of materials. The article considers the application of a nonlinear deformation model in the calculation of deflections and taking into account the coupling forces of reinforcement with concrete.When solving systems of equilibrium equations of a nonlinear deformation model, the iteration method is used. In the areas between cracks, the stresses in the reinforcement are corrected by adding the coupling forces of the reinforcement with concrete, which are included in the equilibrium equations of the normal section and are further refined. The proposed method makes it possible to use the resources of reinforced concrete structures for both the first and second groups of limit states in the calculations of anchoring, crack opening width and deflections.

Keywords

• nonlinear deformation model
• iteration method
• reinforcement coupling with concrete