Abstract

When the normals to two discontinuities forming a tetrahedral wedge in a rock slope lie in the opposite halves of a spherical projection divided by a diameter through the line of intersection of the discontinuities, sliding will take place down the line of intersection of the discontinuities if this is statically possible. This new criterion simplifies the analysis of the stability of rock wedges whose motion is driven only by gravity and resisted only by friction. A factor of safety can be simply calculated for all these wedges from plots of the normals to discontinuities on an overlay of a polar, equal-area spherical projection to which the great circles of a similar equatorial projection have been added. Key words: rock, slope analysis, rock wedge, graphical methods.

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