Optimization-Based Design of 3D Reinforced Concrete Structures

Document Type : Regular Article


1 Ph.D. Student, Faculty of Civil Engineering, Semnan University, Semnan, Iran

2 M.Sc., Department of Civil Engineering, Behbahan Khatam Alanbia University of Technology, Behbahan, Iran

3 Assistant Professor, Department of Construction Management and Earthquake Engineering, Faculty of Civil and Environmental Engineering, Gdansk University of Technology, Gdansk, Poland


In the design of reinforced concrete (RC) structures, finding the optimal section of members and the optimal rebar, which is capable of observing building code’s requirements, is always the primary concern to engineers. Since an optimal design needs a trial-and-error approach, which designs are almost assumed without this approach, that is unlikely to lead to the best solution. Therefore, in this article, the aim is achieving an optimal structural design that can satisfy the building code’s requirements, such as constraints on flexural strength, shear strength, drift, and constraint of construction at the same time. The work is presented in this paper intends to accelerate the process with an optimization system. To do so, a six-story RC structure analyzed by the linear static method and results of the optimization process, done by the Particle Swarm optimization algorithm (PSO), has shown that the weight of the structure optimized and observed limitations.


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[1]     Fadaee MJ, Grierson DE. Design optimization of 3D reinforced concrete structures. Struct Optim 1996;12:127–34. doi:10.1007/BF01196945.
[2]     Fadaee MJ, Grierson DE. Design optimization of 3D reinforced concrete structures having shear walls. Eng Comput 1998;14:139–45. doi:10.1007/BF01213587.
[3]     Kwak H-G, Kim J. Optimum design of reinforced concrete plane frames based on predetermined section database. Comput Des 2008;40:396–408. doi:10.1016/j.cad.2007.11.009.
[4]     Fragiadakis M, Papadrakakis M. Performance-based optimum seismic design of reinforced concrete structures. Earthq Eng Struct Dyn 2008;37:825–44. doi:10.1002/eqe.786.
[5]     Kaveh A, Zakian P. Optimal seismic design of Reinforced Concrete shear wall-frame structures. KSCE J Civ Eng 2014;18:2181–90. doi:10.1007/s12205-014-0640-x.
[6]     Atabay Ş. Cost optimization of three-dimensional beamless reinforced concrete shear-wall systems via genetic algorithm. Expert Syst Appl 2009;36:3555–61. doi:10.1016/j.eswa.2008.02.004.
[7]     Gharehbaghi S, Salajegheh E, Khatibinia M. Optimization of reinforced concrete moment resistant frames based on uniform hysteretic energy distribution. Proceeding 1st Int. Conf. Urban Constr. Vicin. Act. Faults, 2011.
[8]     Gong Y, Xue Y, Xu L, Grierson DE. Energy-based design optimization of steel building frameworks using nonlinear response history analysis. J Constr Steel Res 2012;68:43–50. doi:10.1016/j.jcsr.2011.07.002.
[9]     Akin A, Saka MP. Harmony search algorithm based optimum detailed design of reinforced concrete plane frames subject to ACI 318-05 provisions. Comput Struct 2015;147:79–95. doi:10.1016/j.compstruc.2014.10.003.
[10]    Aydoğdu İ, Akın A, Saka MP. Design optimization of real world steel space frames using artificial bee colony algorithm with Levy flight distribution. Adv Eng Softw 2016;92:1–14. doi:10.1016/j.advengsoft.2015.10.013.
[11]    Chan C-M, Wong K-M. Structural topology and element sizing design optimisation of tall steel frameworks using a hybrid OC–GA method. Struct Multidiscip Optim 2008;35:473–88. doi:10.1007/s00158-007-0151-1.
[12]    Kaveh A, Ilchi Ghazaan M. Optimum Seismic Design of 3D Irregular Steel Frames Using Recently Developed Metaheuristic Algorithms. J Comput Civ Eng 2018;32:04018015. doi:10.1061/(ASCE)CP.1943-5487.0000760.
[13]    Hoseini Vaez SR, Shahmoradi Qomi H. Bar Layout and Weight Optimization of Special RC Shear Wall. Structures 2018;14:153–63. doi:10.1016/j.istruc.2018.03.005.
[14]    Siemaszko A, Jakubczyk-Gałczyńska A, Jankowski R. The Idea of Using Bayesian Networks in Forecasting Impact of Traffic-Induced Vibrations Transmitted through the Ground on Residential Buildings. Geosciences 2019;9:339. doi:10.3390/geosciences9080339.
[15]    Khatami SM, Naderpour H, Barros RC, Jakubczyk-Gałczyńska A, Jankowski R. Effective Formula for Impact Damping Ratio for Simulation of Earthquake-induced Structural Pounding. Geosciences 2019;9:347. doi:10.3390/geosciences9080347.
[16]    Farahnaki R. The Application of Particle Swarm Optimization and Artificial Neural Networks to Estimating the Strength of Reinforced Concrete Flexural Members. J Soft Comput Civ Eng 2017;1:1–7.
[17]    ACI, A. 318–14. Building Code Requirements for Structural Concrete. American Concrete Institute, Farmington Hills, Michigan, American Concrete Institute; 2014.
[18]    ASCE 7-16. Minimum design loads for building and other structures, American Society of Civil Engineers (ASCE) 2016.
[19]    Kennedy J, Eberhart R. Particle swarm optimization. Proc. IEEE Int. Conf. Neural Netw. IV, 1942–1948., vol. 4, IEEE; 1995, p. 1942–8. doi:10.1109/ICNN.1995.488968.
[20]    OPENSEES® Academic Research, Release 2016. http://opensees.berkeley.edu.
[21]    MATLAB (2018). The language of technical computing, Math Works Inc. https://www.mathworks.com.