Observations on the pseudostatic analysis of embankments and slopes with arbitrary seismic force inclination

A simple method for evaluating the seismic stability of embankments and slopes has been developed by modifying the generalized procedure of slices proposed by Janbu. A pseudostatic analysis is carried out. The seismic force is represented through its horizontal and vertical components, acting on the centre of gravity of the soil mass. Defining a nominal state of plastic equilibrium, the safety factor of the slope for a given value of the seismic force is obtained through an iterative procedure that converges very rapidly. Moreover, by assuming a seismic force of intensity varying from zero value (static condition) up to a limit value, depending on the seismicity of the area, one can obtain the “influence lines” of the horizontal and vertical acceleration. Finally, a directional parametric analysis has been carried out considering a seismic force of a given intensity, acting in a direction varying from 0° to 360° with respect to the vertical axis through the gravity centre of the slope. By means of this procedure it is possible to locate a “critical zone” for the slope, i.e., that one within which any seismic force can cause the failure of the slope. Moreover, it appears that it is incorrect to consider only the horizontal acceleration in the stability analyses of slopes under earthquake loading conditions, as the most dangerous direction is usually different from the horizontal one.