Abstract: The seismic active earth pressure calculations problem with pseudo-static method is translated into non-seismic active earth pressure calculations problem in this paper using the transform method with rotating calculation model of retaining wall. Depend on the non-seismic active earth pressure formulations with differential layer method, the analytical formulas of resultant force of seismic earth pressure, application position of resultant force and distribution of seismic earth pressure with differential layer method are obtained directly, and the analytical solution of critical rupture angle by graphic method. The influencing factors including horizontal and vertical seismic accelerations, batter angle of wall back，cohesion and external friction angle between filler and back of retaining wall, equispaced overloading can be considered. The formulas can be used for seismic active earth pressure calculations of cohesive soil or non-cohesive soil with common border condition. The rotating seismic angle method in this paper is that the seismic active earth pressure calculation model with pseudo-static method is firstly rotated into static active earth pressure calculation model, and the stress states of retaining wall and soil behind retaining wall are not changed, and then the seismic active earth pressures with pseudo-static method are solved by the calculation methods of static active earth pressures. The deducing process of seismic active earth pressure formulations with pseudo-static method is simplified and unified greatly by using the new method. The seismic active earth pressure theory with pseudo-static method is perfected much more.

Key words: seismic earth pressure, cohesive soil, horizontal slices analysis method, earth pressure distribution, rotating seismic angle method