Issue 3(43), 2016

DOI 10.21440/2307-2091-2016-3-67-69

Theory of calculation of the stability of slopes and bases. Stability of dumps pdf

A. V. Zhabko

This article is the forth part of the published work on the creation of a unified theory of calculating the stability of slopes for arbitrary geological conditions. Ensuring the sustainability of dumps and determination of their limit parameters is one of the priority tasks of open deposit development. One of the main problems in this matter is the lack of suitable, in terms of their sustainability, areas allocated for dumping. In this regard, dumps are poured out on the inclined or not prepared (not stable) base. Thereby, the likelihood of destruction of dumps and their bases significantly increases. However, the negative geomechanical effects on the dumps may lead to the halt of stripping works, and hence the output. The question of stability of dumps (embankments) is also relevant in hydraulic, industrial, civil, and transport construction.
Methods of research of this work are variational, differential and integral calculus as well as the theory of stability of homogeneous, heterogeneous and anisotropic slopes, which author published earlier.
The first part of the article examines the possible ways of loss of dumps stability. The study reveals similarities between dumps stability on a different bases and homogeneous, heterogeneous and anisotropic slopes.
In the second part of the research, one can see solutions of specific examples on the stability of dump on inclined base and unstable inclined base. Author describes in detail the procedure for solving these problems. We present a comprehensive mathematical apparatus for the implementation of these decisions. All solutions have strict mechanical and mathematical formulation.

Keywords: slope, dump, angle of slope, angle of internal friction, cohesion, height of dump, the equilibrium condition, stability of dump, contact base of dump, sliding surface, fracture of sliding surface.

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