Issue 57

K. Benyahi et alii, Frattura ed Integrità Strutturale, 57 (2021) 195-222; DOI: 10.3221/IGF-ESIS.57.16

After having chosen the surface of polynomial responses, it will be used through several calls of the limit state function by the reliability calculation code, following an approach (FORM/SORM) making it possible to determine the position of the most probable point of failure and to estimate the reliability index for each transition zone of the performance function in a reduced centered space.

 G( , ) V of the beam section (SA3).

Figure 17: Limit state in physical space

Figure 18: Performance function in physical space of the beam section (SA3).

Basic and output random variables in the limit state, their laws of random distributions are modeled as given in the Tab. 3. And for the other parameters (remaining input variables), they are considered deterministic. We have performed a coupling between our reliability modeling and the implementation of the nonlinear calculation taking into account the loading shear behavior, and the limit state chosen as a performance function is a function which links the shear force and the shear strains corresponding to it, and taking as an example the limit state function of the (SA3) type beam section shown in the Fig. 19 in the reduced centered space.

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