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Article

Optimum Design of Reinforced Concrete Folded Plate Structures to ACI 318-11 Using Soft Computing Algorithm

1
Department of Civil Engineering, University of Bahrain, Manama 32038, Bahrain
2
Department of Engineering Sciences, Middle East Technical University, Ankara 06800, Turkey
3
Department of Civil and Environmental Engineering, Temple University, Philadelphia, PA 19122, USA
4
Department of Smart City & Energy, Gachon University, Seongnam 13120, Korea
*
Author to whom correspondence should be addressed.
Academic Editor: Frank Werner
Mathematics 2022, 10(10), 1668; https://doi.org/10.3390/math10101668
Received: 15 April 2022 / Revised: 28 April 2022 / Accepted: 9 May 2022 / Published: 12 May 2022
In this paper, an optimum design algorithm is presented for reinforced concrete folded plate structures. The design provisions are implemented by ACI 318-11 and ACI 318.2-14, which are quite complex to apply. The design variables are divided into three classes. The first class refers to the variables involving the plates, which are the number of supports, thicknesses of the plates, configurations of longitudinal and transverse reinforcement, span length of each plate, and angle of inclination of the inclined plates. The second class consists of the variables involving the auxiliary members’ (beams and diaphragms) depth and breadth and the configurations of longitudinal and shear reinforcement. The third class of variables can be the supporting columns, which involve the dimensions of the column along each axis and the configurations of longitudinal and shear reinforcement. The objective function is considered as the total cost of the folded plate structure, which consists of the cost of concrete, reinforcement, and formwork that is required to construct the building. With such formulation, the design problem becomes a discrete nonlinear programming problem. Its solution is obtained by using three different soft computing techniques, which are artificial bee colony, differential evolution, and enhanced beetle antennae search. The enhancement suggested makes use of the population of beetles instead of one, as is the case in the standard algorithm. With this novel improvement, the beetle antennae search algorithm became very efficient. Two folded plate structures are designed by the proposed optimum design algorithm. It is observed that the differential evolution algorithm performed better than the other two metaheuristics and achieved the cheapest solution. View Full-Text
Keywords: folded plate; supporting members; minimum cost design; structural optimization; metaheuristic algorithms; beetle antennae search algorithm; artificial bee colony algorithm; differential evolution algorithm folded plate; supporting members; minimum cost design; structural optimization; metaheuristic algorithms; beetle antennae search algorithm; artificial bee colony algorithm; differential evolution algorithm
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MDPI and ACS Style

Yousif, S.; Saka, M.P.; Kim, S.; Geem, Z.W. Optimum Design of Reinforced Concrete Folded Plate Structures to ACI 318-11 Using Soft Computing Algorithm. Mathematics 2022, 10, 1668. https://doi.org/10.3390/math10101668

AMA Style

Yousif S, Saka MP, Kim S, Geem ZW. Optimum Design of Reinforced Concrete Folded Plate Structures to ACI 318-11 Using Soft Computing Algorithm. Mathematics. 2022; 10(10):1668. https://doi.org/10.3390/math10101668

Chicago/Turabian Style

Yousif, Sayed, Mehmet Polat Saka, Sanghun Kim, and Zong Woo Geem. 2022. "Optimum Design of Reinforced Concrete Folded Plate Structures to ACI 318-11 Using Soft Computing Algorithm" Mathematics 10, no. 10: 1668. https://doi.org/10.3390/math10101668

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