The paper describes two well known but adapted methods for calculating the probability of failure of structures. First the First Order Reliability Method (FORM) is described using an adapted response surface. Secondly the Directional Sampling (DS) procedure is described using truncated stochastic distributions. Both methods are implemented in the Finite Element Method (FEM) code DIANA of TNO. The two methods have been applied for calculating the probability of failure of steel structures. Three examples are presented.
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