Abstract
Purpose. In many cases, during engineering calculations and design, it is necessary to assess the stability of the built-up area, especially located near slopes. To carry out a critical review of methods for calculating the stability of landslide-prone slopes. Methodology. Variants of methods for calculating the stability of slopes by different authors have been considered. There are many methods for calculating the stability of slopes, all of them are reduced to three basic classes of methods: limit equilibrium methods; finite element method; combined methods. During stability testing, the most common engineering methods are based on force diagrams of the balance of soil massifs. One of the most important issues in the calculation of stability is the correct choice of the surface on which the displacement of the soil is possible. Findings. The choice of certain methods is primarily determined by the type of shearing process and the mechanism of possible displacement of shearing masses. Each original method of calculation is characterized by its original system, obtained in this method using one or another assumption, the necessity of which is related to the static uncertainty of the task. Originality. Formulas for determining the factor of slope resistance are given for practical use. The analysis of the stability of the landslide slope with the involvement of calculation methods is performed as a component of a comprehensive engineering and geological assessment and forecast of the stability of the landslide slope in natural conditions and considering its intended use. Practical value. In project practice, engineering methods for calculating slope stability are used, which contain various simplifying assumptions. The most common of them is the method of round-cylindrical sliding surfaces, which belongs to the planar problem scheme. Determination of the stability factor is a necessary condition for concluding that the slopes can be used for construction.
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