Considering stochastic cases of load values and directions,a robust structural topology optimization method for weighted sum minimizing problem of the expected value of the compliance and its variance with a volume constraint and multiple displacement constraints is proposed to obtain a clear optimal topology. Firstly,the explicit approximate expressions of the compliance expected value,its variance and their derivatives are derived. Secondly,the set of algorithms for robust structural topology optimization designs with multiple constraints are given,being integrated with an feasible domain ad...