Reliability analysis of reinforced concrete grids with nonlinear material behavior

Reinforced concrete grids are usually used to support large floor slabs. These grids are characterized by a great number of critical cross-sections, where the overall failure is usually sudden. However, nonlinear behavior of concrete leads to the redistribution of internal forces and accurate reliability assessment becomes mandatory. This paper presents a reliability study on reinforced concrete (RC) grids based on coupling Monte Carlo simulations with the response surface techniques. This approach allows us to analyze real RC grids with large number of failure components. The response surface is used to evaluate the structural safety by using first order reliability methods. The application to simple grids shows the interest of the proposed method and the role of moment redistribution in the reliability assessment.

[1]  Michael Havbro Faber,et al.  Adaptive Response Surface Techniques in Reliability Estimation , 1993 .

[2]  Alaa Mohamed,et al.  Partial safety factors for homogeneous reliability of nonlinear reinforced concrete columns , 2001 .

[3]  C. Guedes Soares Probabilistic methods for structural design , 1997 .

[4]  M. Sargin Stress-strain relationships for concrete and the analysis of structural concrete sections , 1971 .

[5]  Alaa Mohamed,et al.  Reliability analysis of non-linear reinforced concrete frames using the response surface method , 2002, Reliab. Eng. Syst. Saf..

[6]  Dan M. Frangopol,et al.  A new look at reliability of reinforced concrete columns , 1996 .

[7]  Niels C. Lind,et al.  Methods of structural safety , 2006 .

[8]  Wilfried B. Krätzig,et al.  Reliability of reinforced concrete structures under fatigue , 2002, Reliab. Eng. Syst. Saf..

[9]  Henrik O. Madsen,et al.  Structural Reliability Methods , 1996 .

[10]  N. Gayton,et al.  CQ2RS: a new statistical approach to the response surface method for reliability analysis , 2003 .

[11]  Pier Giorgio Debernardi Behavior of Concrete Structures in Service , 1989 .

[12]  L. Faravelli,et al.  Stochastic Finite Elements Via Response Surface: Fatigue Crack Growth Problems , 1997 .

[13]  Robert E. Melchers,et al.  Estimation of failure probabilities for intersections of non-linear limit states , 2001 .

[14]  Masanobu Shinozuka,et al.  Structural Safety and Reliability , 2000 .

[15]  Wai-Fah Chen Plasticity in reinforced concrete , 1982 .

[16]  Maurice Lemaire,et al.  Combination of finite element and reliability methods in nonlinear fracture mechanics , 2000, Reliab. Eng. Syst. Saf..

[17]  Guoqiang Li,et al.  A semi-analytical simulation method for reliability assessments of structural systems , 2002, Reliab. Eng. Syst. Saf..

[18]  Joaquim de Azevedo Figueiras,et al.  Ultimate load analysis of anisotropic and reinforced concrete plates and shells , 1983 .

[19]  L. Faravelli Response‐Surface Approach for Reliability Analysis , 1989 .

[20]  Amin Ghali,et al.  Concrete Structures: Stresses and Deformations , 1994 .

[21]  Dan M. Frangopol,et al.  Effects of Load Path and Load Correlation on the Reliability of Concrete Columns , 1996 .