Karnaukhova G. Calculation of building structures of round reinforced concrete slabs on a variable elastic basis

The object of research - the process of deformation of building structures in the form of round and annular plates and slabs, lying on a continuous variable elastic basis; aim - to obtain an analytical solution of the differential equation of deflection of the considered structures, to obtain analytical formulas for the internal forces in the plate; and develop a method of numerical implementation of the algorithm; methods - methods of the theory of differential equations, series theory, programming languages; results –for the first time, a mathematical model of a round plate on a variable elastic basis was built, the application of which allowed to obtain an analytical solution of the problem of stress-strain state of building structures in the form of round and annular slabs on a variable elastic basis; obtained formulas for the numerical implementation of the constructed solution for the three most common support conditions; proved the impossibility to assess the efficiency and accuracy of the results of the calculation of structures of this type, obtained by finite element analysis; implemented – in the educational process at the Odessa State Academy of Civil Engineering and Architecture, as well as in the design practice of LLC "Ecostroy" (Odessa).