Abstract
This paper proposes a unified formulation of reliability-based limit state optimization problems for discrete structures. Two approaches are presented: neglecting and accounting for nonlinear geometric effects at the limit state. For discrete structures, the classical limit state problem may be defined as a linear program, whereas the limit state problem accounting for geometric effects is considered as a two-level linear program. A portal frame example is considered in detail. Results of deterministic- and reliability-based optimization are compared. In both cases the impact on structural safety due to neglecting geometric effects is discussed.
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