Because there were many random factors, the failure analysis and reliability analysis of
stochastic structural system was very difficult. In this paper, failure procedure and reliability
analysis flow chart of stochastic structural system based on stochastic finite element were present.
Establishment of the safety margin, reduced member stiffness matrix and opposite sign of the
equivalent nodal force was analyzed in the failure process. Stochastic finite element method was
adopt to solve the structures’ stochastic, and the reliability of structural system is evaluated by
PNET method. According to probabilities of the failure paths redound to probability of failure of the
structural system, the most significant failure paths was determined on the basis of the
branch-and-bound method. Then, a classical 48-bar space truss problem is made as an example to
illustrate the predominance of this algorithm, the calculation shows that the analysis of the failure
process is justified; this methodology is efficient and useful for reliability analysis of large
stochastic structural system.