Based on the assumption that the normal stress distribution over the slip surface is represented by a Lagrangian interpolation function involving two unknowns

the horizontal and vertical forces and moment equilibrium equations for the sliding body are derived incorporating the effect of anchor forces. Then the analytical solutions of anchor force factors are obtained directly

which satisfy the requirement of the specified factor of safety. This new method for the analysis of anchor reinforced slope overcomes the disadvantage of abrupt change in normal stresses on the slip surface which is encountered when using conventional procedures and the computation process is rather straightforward. This method has been successfully applied to slope stabilization engineering.