Integrating over the height of the wall, the total passive resistance is given by,

The value of coefficient K has been obtained from the static analysis by comparing the results with that of Coulomb. The equivalent seismic passive earth pressure coefficient with respect to normal to the wall is found out as,

The critical value of is obtained by minimizing with respect to keeping all other parameters constant, and it is found to exactly match with the Coulombic values for static case.

Height of application of the resultant earth pressure

M is the resultant moment of the earth pressure about the wall bottom

The point of application of the passive earth pressure from base