中文摘要：

针对简化Bishop法，采用精确积分代替有限条块的求和，获得了边坡安全系数的解析表达式．这样只需通过迭代求解一代数方程就可获得边坡的安全系数，避免了有限条分法中计算繁杂以及在试算时初值选取不当可能存在不收敛的缺点．此外，利用该解析算式可容易获得边坡的最危险圆弧滑裂面和最小安全系数．在同样的边坡条件下，简化Bishop法的安全系数一般比瑞典条分法高6％～7％．

英文摘要：

By substituting a definite integral for the sum of finite slices, an analytical tormula for the safety factor in the simplified Bishop＇s method can be derived. In this case, the safety factor can be calculated from the iterative solution of an algebraic equation. This avoids the shortcomings of complicated computations and possible non-convergence problems during calculations started with an improper initial value in the finite slice method. The analytical formulae can also be used for locating the most dangerous critical slip surface and for determining the corresponding minimum safety factor of the slope. The safety factor of the simplified Bishop＇s method is greater than the Sweden slice method by 6%-7%.