Reliability analysis of soil nailing-reinforced slopes considering fuzzy randomness

With regard to the problem of no cosideration of the fuzzy randomness of slopes reinforced by soil nailing, a method for calculating the reliability of soil nailing-reinforced slopes is proposed considering the fuzzy randomness of soil parameters and the fuzzy transition interval of the slopes.Firstly, the random values of mechanical parameters for soil sample tests are converted into the fuzzy random variables.Based on the fuzzy random variables and the fuzzy transition interval, an equation for the fuzzy random limit state is established.The upper and lower limits of the λ-cut set and the corresponding slip surface of slopes are determined.Then, the formula for calculating the reliability of soil nailing-reinforced slopes only related to the soil parameter variables is derived, and the fuzzy random reliability of soil nailing-reinforced slopes is obtained.Finally, the calculated results are compared with those calculated by the traditional Monte Carlo simulation method.It is shown that the reliability analysis of reinforced slopes considering fuzzy transition interval and fuzzy randomness of soil parameters can better reflect the actual state of reinforced slopes.