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Abstract:

The reliability of steel trusses is calculated in the paper. The influence of truss
topology on reliability is analysed. Five cases of truss are discussed. The reliability analysis
concerns the formulation of the limit state, calculation of the failure probability and
determination of the reliability index. There are four groups methods commonly used for the
structural reliability assessment but only one of them, used in the paper, is definitely most
complete. It is the system approach. This method contains both determining reliability models
and reliability analysis. To determine reliability model, the spectral analysis of the linear
stiffness matrix is used. To identify all possible non-repeatable combinations of removed rods
transforming truss to a mechanism the program based on the application of the finite element
method was created. For each truss the reliability index is estimated by evaluating its lower and
upper bounds. The lower bound is evaluated by assuming that the truss behaves itself like a
statically determinate truss, i.e., a failure of one element is equivalent to the failure of the
whole structure (serial system). The upper bound is evaluated by assuming actual connections
and interactions between the rods by using generated reliability model (mixed system). In this
case the reliability index is computed using the program developed by the authors.
Additionally, the approximation method is proposed as verification.

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Influence of Truss Topology on Reliability Index