Taking a rigid retaining wall with cohesionless backfill for example

considering the soil arching

the active earth pressure factor is derived for retaining wall under translation mode with different internal friction angles and wall-soil friction angles. The Shubhra Geol parabolic soil arching expression is modified. Based on horizontal differential element method

new formulations are proposed for calculating the active earth pressure

the resultant earth pressure and its action point. In order to check the accuracy of the proposed formulation

the predictions from the equation are compared with the results of full-scale test and existing classical theory. The results show that the active earth pressure is related to wall-soil friction angle

the internal friction angle

the unit weight of backfill and the height of retaining wall. It is shown that the earth pressure is nonlinear and the previous research results show great agreement with each other; and the correctness of the results is verified.