Abstract: The analysis of the finite element of the fuzzy-random truss and the structural reliability are given. Considering the fuzzy-randomness of structural parameters and loads simultaneously, the static analytical model of the fuzzy-random truss is constructed based on the two-factor method, and the structural fuzzy-random responses are presented. The fuzzy numerical characteristics of the structural response are then derived with the random variables’ algebraic synthesis method and the structural reliability is then given too, which is the basis of the structural optimization.

Key words: fuzzy-random parameters, finite element analysis, fuzzy-random response, fuzzy numerical characteristics, reliability index