There are lots of discontinuities whose geometry exhibits a random behavior in rock excavated slopes
and the failure surface of the slope is normally consisted of the joints and rock-bridges. To determine the lowest shear strength of the slope failure surface becomes the most important subject in slope engineering. Based on field investigation and statistic of the joints and Monte-Carlo simulation method
the joint mapping of the slope rock mass was determined. Then
the sliding surface of the slope can be determined by using the simulated annealing method and the stability factor of the slope can be calculated via a new improved two dimensional Sarma’s limit equilibrium method. A practical example was given to verify this method.