Evolutionary Polynomial Regression-Based Statistical Determination of the Shear Capacity Equation for Reinforced Concrete Beams without Stirrups

AbstractThe shear capacity of reinforced concrete (RC) beams without stirrups is an important aspect in designing and assessing frame-type buildings. As a consequence, nearly all design codes provide equations for the evaluation of the concrete shear strength, mostly derived empirically from experimental data. In this regard, some recent studies have shown that code provisions in force might be unfit to capture adequately many trends and can become unsafe for practical applications. In light of the existing difficulties and uncertainties, the implementation of proper computational methods—together with the use of recent and qualified database of experimental data—is essential to carry out reliable formulations. In this paper, a new hybrid computational technique dubbed evolutionary polynomial regression is adopted to estimate the concrete shear strength for rectangular RC beams. It combines a genetic algorithm and the least squares regression in a way that considers complexity and fidelity to experimental...

[1]  Karim S. Rebeiz,et al.  Shear Strength Prediction for Concrete Members , 1999 .

[2]  George C. Thomos,et al.  Examination of the probabilistic response of reinforced concrete structures under static non-linear analysis , 2006 .

[3]  N. Draper,et al.  Applied Regression Analysis , 1966 .

[4]  J. K. Kim,et al.  Prediction of Shear Strength of Reinforced ConcreteBeams without Web Reinforcement , 1996 .

[5]  Amir M. Alani,et al.  EPR-based material modelling of soils considering volume changes , 2012, Comput. Geosci..

[6]  G. Marano,et al.  Genetic-Algorithm-Based Strategies for Dynamic Identification of Nonlinear Systems with Noise-Corrupted Response , 2010 .

[7]  Silvia Santini,et al.  Design by testing: A procedure for the statistical determination of capacity models , 2009 .

[8]  Mark G. Stewart,et al.  Probabilistic analysis of time-dependent deflections of RC flexural members , 2001 .

[9]  Giuseppe Quaranta,et al.  Multi-objective optimization by genetic algorithm of structural systems subject to random vibrations , 2009 .

[10]  Giuseppe Quaranta,et al.  Robust optimum criteria for tuned mass dampers in fuzzy environments , 2009, Appl. Soft Comput..

[11]  Evan C. Bentz,et al.  ACI-DAfStb Database of Shear Tests on Slender Reinforced Concrete Beams without Stirrups , 2013 .

[12]  D. Savić,et al.  Advances in data-driven analyses and modelling using EPR-MOGA. , 2009 .

[13]  In Hwan Yang,et al.  Prediction of time-dependent effects in concrete structures using early measurement data , 2007 .

[14]  Gaetano Russo,et al.  SHEAR STRENGTH ANALYSIS AND PREDICTION FOR REINFORCED CONCRETE BEAMS WITHOUT STIRRUPS , 2005 .

[15]  Michael P. Collins,et al.  AN ADEQUATE THEORY FOR THE SHEAR STRENGTH OF REINFORCED CONCRETE STRUCTURES , 2008 .

[16]  Akbar A. Javadi,et al.  Numerical implementation of EPR-based material models in finite element analysis , 2013 .

[17]  Mauro de Vasconcellos Real,et al.  Response variability in reinforced concrete structures with uncertain geometrical and material properties , 2003 .

[18]  T. Zsutty Beam Shear Strength Prediction by Analysis of Existing Data , 1968 .

[19]  Giuseppe Quaranta,et al.  Optimum design of prestressed concrete beams using constrained differential evolution algorithm , 2014 .

[20]  Akbar A. Javadi,et al.  Modeling of permeability and compaction characteristics of soils using evolutionary polynomial regression , 2011, Comput. Geosci..

[21]  N. Draper,et al.  Applied Regression Analysis: Draper/Applied Regression Analysis , 1998 .

[22]  Giuseppe Quaranta,et al.  New analytical model for the hoop contribution to the shear capacity of circular reinforced concrete columns , 2014 .

[23]  D. Savić,et al.  A symbolic data-driven technique based on evolutionary polynomial regression , 2006 .

[24]  Luigi Berardi,et al.  Predicting torsional strength of RC beams by using Evolutionary Polynomial Regression , 2012, Adv. Eng. Softw..

[25]  G. Quaranta Finite element analysis with uncertain probabilities , 2011 .

[26]  Kang Su Kim,et al.  Shear Database for Reinforced Concrete Members without Shear Reinforcement , 2003 .