If a slope represents the boundary surface of a semi-infinite soil mass, and the soil properties for all identical depths below the surface are constant, it is called an infinite slope.

Given φ = 30° and i = 12°

Since the factor of safety FC with respect to cohesion, also represent the factor of safety with respect to height

The failure of slopes takes place mainly due to the action of a gravitational force which tends to pull the upper portions of the soil mass downwards to a nearly more level surface.

Earth embankments are commonly required for railways, roadways, earth dams, levees and river training works.

An analysis of stability of slopes consist of determining the most severely stressed internal surface and the magnitude of the shearing stress to which it is subjected and determining the shearing stress along the surface.

Slopes extending to infinity do not exist in nature.

Slopes may be of two types: i) infinite slopes and ii) finite slopes.

In the limiting case of stability, the angle of slope is known as the angle of repose φ.

The factor of safety against sliding is given by equation: