Abstract
Solving slope stability problems and selecting optimal calculation methods remains an urgent problem. A significant variety of engineering and geological conditions, and a large number of factors that can affect the stability of the slope, lead to the need to select a calculation method in each specific case.
 The article examines the features of the two most common methods of calculating the stability of slopes and slopes in geotechnical practice. The first group - limit equilibrium methods, has been widely tested and is the basis of simple engineering calculations of slope stability. Within the framework of the article, the circular cylindrical sliding surface method based on the method of moments, the method of horizontal forces, the methods of tangential forces based on the analytical method of H.M. Shakhunyanets, with the introduction of calculation schemes and the mathematical apparatus of these methods, are considered. The method of L. P. Yasyunas was also noted due to the idea he highlighted of simplifying calculations using unit shear pressure, which is generally an interesting idea but has certain difficulties in practical implementation. The key advantages and disadvantages of the finite element method for solving slope stability problems are given. The question of combining MSE with the method of reducing strength to determine the coefficient of stability of slopes is highlighted.
 Several software complexes are presented that allow us to automatically determine the coefficient of stability of slopes based on different groups of methods. A comparative calculation of the imaginary slope of PC "Plaxis 2D" and "Ukis" was performed. Two formulations of the problem are considered: for a free slope and with an additional load in the upper part of the slope. The received coefficients of stability and the shape of the sliding surface were analyzed and a generalized table of results was formed. The displayed results demonstrate sufficient convergence, which confirms the possibility of using the specified methods in engineering practice to determine the stability coefficient of slopes.
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