Shear crack control for a reinforced concrete T-beam using coupled stochastic-multi-objective optimization methods
We use multi-objective optimization and numerical simulations to optimize the shear strength of a reinforced concrete T-beam. The optimization process involves four factors that are related to the Young's modulus of elasticity and density of both the steel reinforcement and the concrete. The fa...
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AIMS Press
2023-11-01
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Online Access: | https://www.aimspress.com/article/doi/10.3934/matersci.2023057?viewType=HTML |
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author | Ayad Ramadan |
author_facet | Ayad Ramadan |
author_sort | Ayad Ramadan |
collection | DOAJ |
description | We use multi-objective optimization and numerical simulations to optimize the shear strength of a reinforced concrete T-beam. The optimization process involves four factors that are related to the Young's modulus of elasticity and density of both the steel reinforcement and the concrete. The factors, which have a limited range, are utilized in the construction of the regression equation that forecasts the reinforced concrete T-beam's ductility and elastic shear strain. Using ABAQUS finite element programs, 27 models were prepared for numerical analysis and simulation using the well-known sampling technique Box-Behnken design. To find the coefficients that correspond to the regression equations, MATLAB codes are utilized to solve complex matrices using the least squares method. Checking the regression equation's reliability to compare the outcomes of the numerical simulations and the regression equations, a reliability check for the regression equation has been implemented. Due to the simultaneous R<sup>2</sup> values of 1 and 1 for ductility and elastic shear strain, the reliability check was 100%. The optimization of the reinforced concrete T-beam's shear strength capacity can be easily determined, according to multi-objective optimization results, and the design of this structural system is highly controllable. |
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spelling | doaj.art-3dc83f6589d541aa94b6736b1b75b7f32024-01-04T02:04:23ZengAIMS PressAIMS Materials Science2372-04842023-11-011061077108910.3934/matersci.2023057Shear crack control for a reinforced concrete T-beam using coupled stochastic-multi-objective optimization methodsAyad Ramadan0Department of Mathematics, College of Science, Sulaimani University, KRGWe use multi-objective optimization and numerical simulations to optimize the shear strength of a reinforced concrete T-beam. The optimization process involves four factors that are related to the Young's modulus of elasticity and density of both the steel reinforcement and the concrete. The factors, which have a limited range, are utilized in the construction of the regression equation that forecasts the reinforced concrete T-beam's ductility and elastic shear strain. Using ABAQUS finite element programs, 27 models were prepared for numerical analysis and simulation using the well-known sampling technique Box-Behnken design. To find the coefficients that correspond to the regression equations, MATLAB codes are utilized to solve complex matrices using the least squares method. Checking the regression equation's reliability to compare the outcomes of the numerical simulations and the regression equations, a reliability check for the regression equation has been implemented. Due to the simultaneous R<sup>2</sup> values of 1 and 1 for ductility and elastic shear strain, the reliability check was 100%. The optimization of the reinforced concrete T-beam's shear strength capacity can be easily determined, according to multi-objective optimization results, and the design of this structural system is highly controllable.https://www.aimspress.com/article/doi/10.3934/matersci.2023057?viewType=HTMLelastic shear strainductilitybox-behnken designregressionmulti-criteria |
spellingShingle | Ayad Ramadan Shear crack control for a reinforced concrete T-beam using coupled stochastic-multi-objective optimization methods AIMS Materials Science elastic shear strain ductility box-behnken design regression multi-criteria |
title | Shear crack control for a reinforced concrete T-beam using coupled stochastic-multi-objective optimization methods |
title_full | Shear crack control for a reinforced concrete T-beam using coupled stochastic-multi-objective optimization methods |
title_fullStr | Shear crack control for a reinforced concrete T-beam using coupled stochastic-multi-objective optimization methods |
title_full_unstemmed | Shear crack control for a reinforced concrete T-beam using coupled stochastic-multi-objective optimization methods |
title_short | Shear crack control for a reinforced concrete T-beam using coupled stochastic-multi-objective optimization methods |
title_sort | shear crack control for a reinforced concrete t beam using coupled stochastic multi objective optimization methods |
topic | elastic shear strain ductility box-behnken design regression multi-criteria |
url | https://www.aimspress.com/article/doi/10.3934/matersci.2023057?viewType=HTML |
work_keys_str_mv | AT ayadramadan shearcrackcontrolforareinforcedconcretetbeamusingcoupledstochasticmultiobjectiveoptimizationmethods |