Research purposes: A new general limit equilibrium method available for arbitrary sliding face is proposed.The numerical integral formulas are established respectively based on the statical equilibrium and the moment equilibrium stability factor. Also the computation formula is established for the down - sliding force in the any horizontal section and the position of its action spot to meet the actual demand of the project. From the equation established with this method ,the various commonly - used limit equilibrium methods can be deduced.
Research conclusions:With the general limit equilibrium method of the numerical integral form,it is unnecessary to itemize manually and it avoids the tedious work of itemized calculation and improves the computation accuracy. By using the one - dimensiona iterative method to calculate ,the calculation process can be simplified and it is easy to program. The calculation example shows this method has high computation accuracy and use value.