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矩法和线性回归法能得到较为准确的岩土抗剪强度指标的均值,但是在统计标准差或变异系数时,矩法常常面临样本容量偏小而导致变异系数偏大的困难,而常规线性回归法无法给出实际所需的抗剪强度指标的标准差。本文从可靠度理论出发,利用正交标准化变量空间中原点到极限状态线最短距离为可靠指标的原理,提出了一种利用Excel“规划求解”功能求解抗剪强度参数的简便方法。将这一方法应用于91组404个水利水电岩土工程二类岩体与混凝土胶结面大型直剪试验结果的统计中,并将结果与其它方法进行了对比。
Moment method and linear regression method can get more accurate average value of rock-soil shear strength index. However, when standard deviation or coefficient of variation are used, the moment method often faces the problem of small sample size and large coefficient of variation, while the conventional linear The regression method fails to give the standard deviation of the actual desired shear strength index. In this paper, based on the theory of reliability, a simple and convenient method for solving shear strength parameters by using Excel “Solver ” function is proposed based on the principle of orthogonally normalizing the shortest distance from the origin to the limit state line in a variable space. This method is applied to the statistics of large-scale direct shear test results of 91 groups of 404 hydroelectric geotechnical type rock mass and concrete cemented surface, and the results are compared with other methods.