Computers and Concrete

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Optimization of RC polygonal cross-sections under compression and biaxial bending with QPSO

  • de Oliveira, Lucas C. (Department of Civil Engineering, Graduate Program in Civil Engineering) ;
  • de Almeida, Felipe S. (Department of Civil Engineering, Graduate Program in Civil Engineering) ;
  • Gomes, Herbert M. (Department of Civil Engineering, Graduate Program in Civil Engineering)
  • Received : 2021.06.17
  • Accepted : 2022.06.17
  • Published : 2022.08.25
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Abstract

In this paper, a numerical procedure is proposed for achieving the minimum cost design of reinforced concrete polygonal column cross-sections under compression and biaxial bending. A methodology is developed to integrate the metaheuristic algorithm Quantum Particle Swarm Optimization (QPSO) with an algorithm for the evaluation of the strength of reinforced concrete cross-sections under combined axial load and biaxial bending, according to the design criteria of Brazilian Standard ABNT NBR 6118:2014. The objective function formulation takes into account the costs of concrete, reinforcement, and formwork. The cross-section dimensions, the number and diameter of rebar and the concrete strength are taken as discrete design variables. This methodology is applied to polygonal cross-sections, such as rectangular sections, rectangular hollow sections, and L-shaped cross-sections. To evaluate the efficiency of the methodology, the optimal solutions obtained were compared to results reported by other authors using conventional methods or alternative optimization techniques. An additional study investigates the effect on final costs for an alternative parametrization of rebar positioning on the cross-section. The proposed optimization method proved to be efficient in the search for optimal solutions, presenting consistent results that confirm the importance of using optimization techniques in the design of reinforced concrete structures.

Keywords

Acknowledgement

The authors would like to express their gratitude to the National Council for Scientific and Technological Development (CNPq) and Coordination for the Improvement of Higher Education Personnel (CAPES) for their support in this research.

References

  1. ACI 318 (2014), Building Code Requirements for Structural Concrete and Commentary, American Concrete Institute, USA.
  2. Afzal, M., Liu, Y., Cheng, J.C.P. and Gan, V.J.L. (2020), "Reinforced concrete structural design optimization: A critical review", J. Clean. Prod., 260, 120623. https://doi.org/10.1016/j.jclepro.2020.120623.
  3. Aschheim, M., Hernandez-Montes, E. and Gil-Martin, L.M. (2008), "Design of optimally reinforced RC beam, column, and wall sections", J. Struct. Eng., 134(2), 231. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:2(231)
  4. Bastos, E.A. (2004), "Optimization of rectangular reinforced concrete sections subjected to biaxial bending and compression using genetic algorithms", M.Sc. Dissertation, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil.
  5. Bolideh, A., Arab, H.G. and Ghasemi, M.R. (2019), "A fast and robust procedure for optimal detail design of continuous RC beams", Comput. Concrete, 24(4), 313-327. https://doi.org/10.12989/cac.2019.24.4.313.
  6. Bordignon, R. and Kripka, M. (2012), "Optimum design of reinforced concrete columns subjected to uniaxial flexural compression", Comput. Concrete, 9(5), 327-340. https://doi.org/10.12989/cac.2012.9.5.327.
  7. Clerc, M. and Kennedy, J. (2002), "The particle swarm-explosion, stability, and convergence in a multidimensional complex space", IEEE Trans. Evol. Comput., 6(2), 58-73. https://doi.org/10.1109/4235.985692
  8. Furlanetto, A., Gomes, H.M. and Almeida, F.S. (2020), "Design optimization of tapered steel wind turbine towers by QPSO algorithm", Int. J. Steel Struct., 20, 1552-1563. https://doi.org/10.1007/s13296-020-00389-3.
  9. Gholizadeh, S. and Moghadas, R.K. (2014), "Performance-based optimum design of steel frames by an improved quantum particle swarm optimization", Adv. Struct. Eng., 17(2), 143-156. https://doi.org/10.1260/1369-4332.17.2.143.
  10. Grotti, E., Mizushima, D.M., Backes, A.D., Awruch, M.D.F. and Gomes, H.M. (2020), "A novel multi-objective quantum particle swarm algorithm for suspension optimization", Comput. Appl. Math., 39(2), 1-29. https://doi.org/10.1007/s40314-020-1131-y.
  11. Kennedy, J. and Eberhart, R.C. (1995), "Particle swarm optimization", Proceedings of IEEE International Conference on Neural Networks, 1942-1948.
  12. Lima, D.A. (2018), "Automatic sizing of reinforced concrete columns", M.Sc. Dissertation, Federal University of Rio Grande do Norte, Brazil.
  13. Mikki, S.M. and Kishk, M.M. (2005), "Investigation of the quantum particle swarm optimization technique for electromagnetic applications", IEEE Antennas and Propagation Society International Symposium, 2(2), 45-48.
  14. Montoya, P.J., Meseguer, A.G. and Cabre, A.M. (1994), Hormigon Armado, Gustavo Gili, 14a Edition, Barcelona, Spain.
  15. NBR 6118 (2014), Design of Structural Concrete-Procedure, Brazilian Association of Technical Standards, Brazil.
  16. Ozturk, H.T. and Durmus, A. (2013), "Optimum cost design of RC columns using artificial bee colony algorithm", Struct. Eng. Mech., 45(5), 643-654. https://doi.org/10.12989/sem.2013.45.5.643.
  17. Ozturk, H.T., Durmus, A. and Durmus, A. (2012), "Optimum design of a reinforced concrete beam using artificial bee colony algorithm", Comput. Concrete, 10(3), 295-306. https://doi.org/10.12989/cac.2012.10.3.295.
  18. Pinheiro, L.M., Baraldi, L.T. and Porem, M.E. (2009), "Concrete structures: Abacus for biaxial bending", Internal Report, University of Sao Paulo, Sao Carlos, Brazil.
  19. Rafiq, M.Y. and Southcombe, C. (1998), "Genetic algorithms in optimal design and detailing of reinforced concrete biaxial columns supported by a declarative approach for capacity checking", Comput. Struct., 69, 443-457. https://doi.org/10.1016/S0045-7949(98)00108-4.
  20. Rahmanian, I., Lucet, Y. and Tesfamariam, S. (2014), "Optimal design of reinforced concrete beams: A review", Comput. Concrete, 13(4), 457-482. https://doi.org/10.12989/cac.2014.13.4.457.
  21. Rao, S.S. (2009), Engineering Optimization: Theory and Practice, 4th Edition, John Wiley & Sons, Inc.
  22. Sanchez-Olivares, G. and Tomas, A. (2017), "Improvements in meta-heuristic algorithms for minimum cost design of reinforced concrete rectangular sections under compression and biaxial bending", Eng. Struct., 130, 162-179. https://doi.org/10.1016/j.engstruct.2016.10.010.
  23. Sanchez-Olivares, G. and Tomas, A. (2021), "Optimization of reinforced concrete sections under compression and biaxial bending by using a parallel firefly algorithm", Appl. Sci., 11, 2076. https://doi.org/10.3390/app11052076.
  24. Santana, P.B., Awruch, M.D.F., Grotti, E. and Gomes, H.M. (2018), "Multiobjective optimization of composite materials for continuous fiber orientation", Proceedings of ENGOPT 2018, 6th International Conference on Engineering Optimization, Lisbon.
  25. Santoro, J.F. and Kripka, M. (2020), "Minimizing environmental impact from optimized sizing of reinforced concrete elements", Comput. Concrete, 25(2), 111-118. https://doi.org/10.12989/cac.2020.25.2.111.
  26. Sias, F.M. and Alves, E.C. (2014), "Optimal sizing of reinforced concrete column cross-sections", REEC Civil Eng. Electron. Mag., 8(3).
  27. Sun, J., Feng, B. and Xu, W. (2004), "Particle swarm optimization with particles having quantum behavior", Proceedings of Congress on Evolutionary Computation, 326-331.
  28. Sun, J., Lai, C.H. and Wu, X.J. (2012), Particle Swarm Optimization-Classical and Quantum Perspectives, CRC Press, USA.
  29. Technical Committee CEN/TC250 (2004), Eurocode 2: Design of Concrete Structures-Part 1-1: General Rules and Rules for Buildings, European Committee for Standardization, Brussels,
  30. Xiao, J. and Zhang, C. (2006), "Experimental investigation on the limitation of axial load level of RC columns in seismic regions", Adv. Struct. Eng., 9(3), 349-359. https://doi.org/10.1260/136943306777641878.
  31. Xiao, J. and Zhang, C. (2008), "Seismic behavior of RC columns with circular, square and diamond sections", Constr. Build. Mater., 22(5), 801-810. https://doi.org/10.1016/j.conbuildmat.2007.01.010.
  32. Xiao, J., Huang, X. and Shen, L. (2012), "Seismic behavior of semi-precast column with recycled aggregate concrete", Constr. Build. Mater., 35, 988-1001. https://doi.org/10.1016/j.conbuildmat.2012.04.062.
  33. Zhu, E., Najem, R.M., Dinh-Cong, D., Shao, Z., Wakil, K., Ho, L.S., Alyousef, R., Alabduljabbar, H., Alaskar, A., Alrshoudi F. and Mohamed, A.M. (2020), "Optimizing reinforced concrete beams under different load cases and material mechanical properties using genetic algorithms", Steel Compos. Struct., 34(4), 467-485. https://doi.org/10.12989/scs.2020.34.4.467.