Reliability assessment of the behavior of reinforced and/or prestressed concrete beams sections in shear failure

Abstract

The object of this article is to be able to simulate the behavior of reinforced and/or prestressed concrete beam’s section in the shear loading through a model allowing the evaluation of nonlinear strains caused by shear, while taking into account the real behavior of the materials. In this approach, we are often confronted with problems of modeling uncertainties linked to some insufficiencies of the mechanical model allowing to describe the physical phenomena in a realistic way. For that, it is necessary to use a reliability model making it possible to evaluate their probability of failure, by establishing failure curves according to the different transition zones of the limit state curve of the nonlinear behavior in the shear loading up to at section failure of reinforced and/or prestressed concrete beams. In this work, we also propose a coupling of the reliability method by response surface to carry out the reliability optimization on complex mechanical models, where the mechanical and reliability models developed have been implemented on the Fortran. This allows the estimation in an efficient way of the different reliability characteristics according to each transition zone from the limit state curve to the real behavior until failure in the shear loading.

Study of Structural Stability of a Concrete Gravity Dam Using a Reliability Approach

“…The first step is to find the most probable point of failure in the space of standard variables, and then the limit state function is approximated by its first Taylor expansion (FORM) or second order (SORM) around the point of conception [26]. The First Order Reliability Method reduces calculation difficulties by simplifying the f x (X) integral and approximating the performance function g(X) so that solutions to formula 5 and 6 are easily obtained [27].…”

Reliability Assessment of Reinforced Concrete Beams under Elevated Temperatures: A Probabilistic Approach Using Finite Element and Physical Models

“…By considering the aim of structural engineering of proposing structural models that meet the safety and serviceability conditions, uncertainties that might be related to the material properties and the applied loading conditions should be considered in the design process [38][39][40][41]. Thus, the reliability-based algorithm was introduced into deterministic designs of concrete structures [42,43]. Rakoczy and Nowak [44] presented a reliability analysis for prestressed concrete where sensitivity functions were developed to consider the effect of reliability indices on the concrete girders.…”