Abstract: This paper proposes a method to calculate anchor force. It presumes the initial distribution of normal stresses over the slip surface is an interpolative function involving undetermined parameters. Using force equilibrium equations and moment equilibrium equations, an explicit solution to factor of safety for slope reinforced by anchors is derived, and an analytical solution to coefficient of anchor force given the requirement of safety factor of slope is also deduced. The method’s computation is quite straightforward to process. It is found that the distribution of normal stresses in this method is continuous and the internal stresses are reasonable. The method has been successfully applied to computing two engineering slope. Results show that the calculated precision is in range of limit equilibrium method satisfying all equilibriums. It overcomes the disadvantage of abrupt change in normal stresses on the slip surface, which is encountered when using conventional limit equilibrium methods. In addition, this method is verified with the results of slope in this paper agreeing with those obtained with dynamic method to the anchor slope.

Key words: slope stability, anchor force, factor of safety , limit equilibrium method