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- BUILDING STRUCTURES, BUILDINGS AND FACILITIES
- Iteration Method For The Calculation Of Reinforced Concrete Elements Based On A Nonlinear Deformation Model
- UDC 624.044.3 DOI: 10.33622/0869-7019.2022.03.13-18
Andrey V. SHEVCHENKO1, e-mail: a.shevchenko@ktbbeton.com
Artem A. DAVIDYUK2, e-mail: artemd@ktbbeton.com
Nikolay N. BAGLAEV1, e-mail: n.baglaev@ktbbeton.com
1 KTB Beton Group, 2nd Institutskaya ul., 6, str. 64, Moscow 109428, Russian Federation
2 Moscow State University of Civil Engineering (National Research University), Yaroslavskoe shosse, 26, Moscow 129337, Russian Federation
Abstract. Despite the rapid development of nonlinear calculation methods given in numerous monographs and normative literature, there is practically no numerical implementation of them, as well as a detailed description of calculation algorithms. The article considers the solution of the equation system of a nonlinear deformation model of a normal section of a compressed-curved element by the iteration method. The splitting of the normal section into separate sections, the procedure for calculating the stiffness coefficients, the determination of the secant modulus of deformations, the position of the neutral layer at the initial and subsequent stages of the iterative process are considered in detail. The analysis of the convergence of the iterative process and the estimation of the calculation accuracy is given. A numerical example of calculation with diagrams of concrete steel deformation is given and an analysis and comparison of the results with the normative methodology are presented. Additional numerical studies were carried out and the surface of the limiting forces of the compressed-curved element was constructed. To solve the equations in a physically nonlinear formulation, the iteration method is used. The article may be useful for specialists whose field of activity is related to the calculations of building structures in a physically nonlinear formulation.
Keywords: reinforced concrete bendable elements, calculation of building structures, iterative method, nonlinear deformation model, stress-strain state. - REFERENCES
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