Stochastic finite element based reliability analysis of steel fiber reinforced concrete (SFRC) corbels

In this study, reliability analyses of steel fiber reinforced concrete (SFRC) corbels based on stochastic finite element were performed for the first time in literature. Prior to stochastic finite element analysis, an experimental database of 84 sfrc corbels was gathered from literature. These sfrc corbels were modeled by a special finite element program. Results of experimental studies and finite element analysis were compared and found to be very close to each other. Furthermore experimental crack patterns of corbel were compared with finite element crack patterns and were observed to be quite similar. After verification of the finite element models, stochastic finite element analyses were implemented by a specialized finite element module. As a result of stochastic finite element analysis, appropriate probability distribution functions (PDF`s) were proposed. Finally, coefficient of variation, bias and strength reduction (resistance) factors were proposed for sfrc corbels as a consequence of stochastic based reliability analysis.

[1]  N. Fattuhi.  SFRC Corbel Tests , 1987 .

[2]  B. P. Hughes,et al.  Ductility of Reinforced Concrete Corbels Containing Either Steel Fibers or Stirrups , 1989 .

[3]  B. P. Hughes,et al.  REINFORCED STEEL FIBER CONCRETE CORBELS WITH VARIOUS SHEAR SPAN-TO-DEPTH RATIOS , 1989 .

[4]  N. I. Fattuhi.  Column‐Load Effect on Reinforced Concrete Corbels , 1990 .

[5]  N. I. Fattuhi,et al.  Strength of SFRC Corbels Subjected to Vertical Load , 1990 .

[6]  N. Fattuhi.  Reinforced corbels made with plain and fibrous concretes , 1994 .

[7]  Nijad I. Fattuhi,et al.  Strength of FRC Corbels in Flexure , 1994 .

[8]  Andrzej S. Nowak,et al.  Calibration of Design Code for Buildings (ACI 318): Part 2—Reliability Analysis and Resistance Factors , 2003 .

[9]  Konrad Bergmeister,et al.  Nonlinear finite element analysis of reinforced concrete corbels at both deterministic and probabilistic levels , 2006 .

[10]  G. Campione,et al.  Steel Fiber-Reinforced Concrete Corbels: Experimental Behavior and Shear Strength Prediction , 2007 .

[11]  J. Červenka,et al.  Three dimensional combined fracture-plastic material model for concrete , 2008 .

[12]  G. Campione.  Flexural response of FRC corbels , 2009 .

[13]  G. Campione.  Performance of Steel Fibrous Reinforced Concrete Corbels Subjected to Vertical and Horizontal Loads , 2009 .

[14]  K. Bergmeister,et al.  Structural assessment and reliability analysis for existing engineering structures, theoretical background , 2009 .

[15]  G. C. Thomos,et al.  Reliability based calibration of the capacity design rule of reinforced concrete beam-column joints , 2011 .

[16]  W. D. Cook,et al.  Influence of Steel Fibers and Headed Bars on the Serviceability of High-Strength Concrete Corbels , 2012 .

[17]  G. C. Thomos,et al.  Reliability of column capacity design in shear , 2012 .

[18]  Guliz Bayramoglu.  Reliability analysis of tested steel I-beams with web openings , 2012 .

[19]  Drahomír Novák,et al.  FReET: Software for the statistical and reliability analysis of engineering problems and FReET-D: Degradation module , 2014, Adv. Eng. Softw..

[20]  A. GuhaRay,et al.  Partial safety factors for retaining walls and slopes: A reliability based approach , 2014 .

[21]  Rita de Cássia Silva,et al.  Safety factor calibration for bridge concrete girders , 2014 .