- author = "Alessandra Fiore and Luigi Berardi and Giuseppe Carlo Marano",
- title = "Predicting torsional strength of RC beams by using Evolutionary Polynomial Regression",
- journal = "Advances in Engineering Software",
- volume = "47",
- number = "1",
- pages = "178--187",
- year = "2012",
- ISSN = "0965-9978",
-
DOI = "
doi:10.1016/j.advengsoft.2011.11.001",
-
URL = "
http://www.sciencedirect.com/science/article/pii/S0965997811003036",
- keywords = "genetic algorithms, genetic programming, Reinforced concrete beam, Evolutionary Polynomial Regression, Torsional strength, Building code, Theoretical model, Soft computing",
-
abstract = "A new view for the analytical formulation of torsional
ultimate strength for reinforced concrete (RC) beams by
experimental data is explored by using a new hybrid
regression method termed Evolutionary Polynomial
Regression (EPR). In the case of torsion in RC
elements, the poor assumptions in physical models often
result into poor agreement with experimental results.
Nonetheless, existing models have simple and compact
mathematical expressions since they are used by
practitioners as building codes provisions.
EPR combines the best features of conventional numerical regression techniques with the effectiveness of genetic programming for constructing symbolic expressions of regression models. The EPR modelling paradigm allows to figure out existing patterns in recorded data in terms of compact mathematical expressions, according to the available physical knowledge on the phenomenon (if any). The procedure output is represented by different formulae to predict torsional strength of RC beam. The multi-objective search paradigm used by EPR allows developing a set of formulae showing different complexity of mathematical expressions as resulting into different agreement with experimental data.
The efficiency of such approach is tested using experimental data of 64 rectangular RC beams reported in technical literature. The input parameters affecting the torsional strength were selected as cross-sectional area of beams, cross-sectional area of one-leg of closed stirrup, spacing of stirrups, area of longitudinal reinforcement, yield strength of stirrup and longitudinal reinforcement, concrete compressive strength.
Those results are finally compared with previous studies and existing building codes for a complete comparison considering formulation complexity and experimental data fitting.",
