Variational method
for calculating stability of mining workings and structures
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This small book describes the methods used to calculate stability of rock slopes, open pit walls, waste dumps, underground workings, dikes and dams. It contains solutions of two-dimensional and three-dimensional problems on evaluation of stability of mining workings and structures. These solutions are based on variation of reference lines (two-dimensional problem) and surfaces (three-dimensional problem). The author has developed three software applications that implement the obtained analytical solutions. Slope software is designated to solve two-dimensional problems on stability of rock slop...
This small book describes the methods used to calculate stability of rock slopes, open pit walls, waste dumps, underground workings, dikes and dams. It contains solutions of two-dimensional and three-dimensional problems on evaluation of stability of mining workings and structures. These solutions are based on variation of reference lines (two-dimensional problem) and surfaces (three-dimensional problem). The author has developed three software applications that implement the obtained analytical solutions. Slope software is designated to solve two-dimensional problems on stability of rock slopes. Slopes can have any shape and be weakened by a finite number of randomly located weakening lines. They can also be reinforced by retention walls and reinforced drill holes. VS-1 and VS-2 applications enable solving three-dimensional problems of stability of rock slopes, uniform and non-uniform, respectively, that contain weakening surfaces. Dike software implements 4 possible options of shifting of a dike or dam body: shifting and further tilting in case of a weakening surface being present or without it.
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