DOI QR코드

DOI QR Code

Structural optimization and proposition of pre-sizing parameters for beams in reinforced concrete buildings

  • Received : 2011.11.04
  • Accepted : 2012.09.06
  • Published : 2013.03.25

Abstract

The aim of the present paper is to show the application of optimization strategies for the cost of beams in reinforced concrete buildings and to propose pre-sizing parameters. In order for these goals to be met, an optimization software program was developed. The program combines the analysis of structures by the grid model, reinforced concrete sizing, and the simulated annealing optimization heuristic. Sizing is compliant with the NBR 6118 (2007) Brazilian standard, according to which flexural, shearing, torsion, and web reinforcements and serviceability limit states (deflection and crack width limitation) are checked. Besides the dimensions of the situations mentioned above, the influence the cost of each material (steel, concrete and formwork) has on the overall cost of structures was also determined.

Keywords

References

  1. Bischoff, P.H. and Scanlon, A. (2009), "Span-depth ratios for one-way members based on ACI 318 deflection limits", ACI Struct. J., 106(5), 617-626.
  2. Brazilian Association of Technical Standards (2007), Procedures for the design of reinforced concrete structures, NBR 6118, Rio de Janeiro. (in Portuguese).
  3. Degertekin, S.O. (2007), "A comparison of simulated annealing and genetic algorithm for optimum design of nonlinear steel space frames", Struct. Multidiscip. O., 34(4), 347-359. https://doi.org/10.1007/s00158-007-0096-4
  4. Degertekin, S.O. (2008), "Optimum design of steel frames using harmony search algorithm", Struct. Multidiscip. O., 36(4), 393-401. https://doi.org/10.1007/s00158-007-0177-4
  5. Friel, L.L. (1974), "Optimum singly reinforced concrete sections", ACI J., 71(11), 556-558.
  6. Gonzalez-Vidosa, F., Yepes, V., Alcala, J., Carrera, M., Perea, C. and Paya-Zaforteza, I. (2008), Optimization of reinforced concrete structures by simulated annealing, In: TAN, C.M. Simulated Annealing, Austria: I-Tech Education and Publishing.
  7. Goble, G.G. and Lapay, W.S. (1971), "Optimum design of prestressed beams", ACI J., 68(9), 712-718.
  8. Hasançebi, O. and Erbatur, F. (2002), "On efficient use of simulated annealing in complex structural optimization problems", Acta Mech., 157(1-4), 27-50. https://doi.org/10.1007/BF01182153
  9. Kargahi, M., Anderson, J.C. and Dessouky, M.M. (2006), "Structural weight optimization of frames using tabu search. I: Optimization procedure", J. Struct. Eng., 132(12), 1858-1869. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:12(1858)
  10. Kirkpatrick, S., Gelatt, C.D. and Vecchi, M.P. (1983), "Optimization by simulated annealing", Sci., 220(4589), 671-680. https://doi.org/10.1126/science.220.4598.671
  11. Kirsch, U. (1972), "Optimum design of prestressed beams", Comput. Struct., 2(4), 573-583. https://doi.org/10.1016/0045-7949(72)90009-0
  12. Kripka, M. (2003), Minimum cost of reinforced concrete building grillages by simulated annealing, WCSMO-5 - The Fifth World Congress of Structural and Multidisciplinary Optimization, Lido di Jesolo, Veneza, Italian Polytechnic Press, 407-408.
  13. Kripka, M. (2004), "Discrete optimization of trusses by simulated annealing", J. Brazil. Soc. Mech. Sci. Eng., 26(2), 01. https://doi.org/10.1590/S1678-58782004000100001
  14. Paya-Zaforteza, I., Yepes, V., Gonzalez-Vidosa, F. and Hospitaler, A. (2008), "Multiobjective optimization of concrete frames by simulated annealing", Comput. Aided Civil Infrastruct. Eng., 23(8), 596-510. https://doi.org/10.1111/j.1467-8667.2008.00561.x
  15. Paya-Zaforteza, I., Yepes, V., Gonzalez-Vidosa, F. and Hospitaler, A. (2010), "On the weibull cost estimation of building frames designed by simulated annealing", Meccanica, 45(5), 693-704. https://doi.org/10.1007/s11012-010-9285-0
  16. Park, J. and Ryu, M. (2004), "Optimal design of truss structures by rescaled simulated annealing", KSME Int. J., 18(9), 1512-1518. https://doi.org/10.1007/BF02990365
  17. NBR 6118 (2007), Projeto de estruturas de concreto - Procedimento, Rio de Janeiro: Associacao Brasileira de Normas Tecnicas (in Portuguese).
  18. Sonmez, M. (2011), "Discrete optimum design of truss structures using artificial bee colony algorithm", Struct. Multidiscip. O., 43(1), 85-97. https://doi.org/10.1007/s00158-010-0551-5
  19. Suji, D., Natesan, S.C., Murugesan, R. and Prabhud, R.S. (2008), "Optimal design of fibrous concrete beams through simulated annealing", Asian J. Civil Eng., 9(2), 193-213.

Cited by

  1. Optimal design of reinforced concrete beams: A review vol.13, pp.4, 2014, https://doi.org/10.12989/cac.2014.13.4.457
  2. Use of optimization for automatic grouping of beam cross-section dimensions in reinforced concrete building structures vol.99, 2015, https://doi.org/10.1016/j.engstruct.2015.05.001
  3. Development of optimum design curves for reinforced concrete beams based on the INBR9 vol.18, pp.5, 2016, https://doi.org/10.12989/cac.2016.18.5.983
  4. Simultaneous geometry and cross-section optimization of aluminum trusses vol.12, pp.2, 2016, https://doi.org/10.1108/MMMS-06-2015-0032
  5. Automated layout design of multi-span reinforced concrete beams using charged system search algorithm vol.35, pp.3, 2018, https://doi.org/10.1108/EC-05-2017-0188
  6. Analysis of the state of prestressed structure using data collection simulation technique vol.262, pp.2261-236X, 2019, https://doi.org/10.1051/matecconf/201926208006
  7. Optimal dimensioning for the corner combined footings vol.2, pp.2, 2013, https://doi.org/10.12989/acd.2017.2.2.169
  8. Modeling for the strap combined footings Part I: Optimal dimensioning vol.30, pp.2, 2013, https://doi.org/10.12989/scs.2019.30.2.097
  9. Minimizing environmental impact from optimized sizing of reinforced concrete elements vol.25, pp.2, 2020, https://doi.org/10.12989/cac.2020.25.2.111
  10. Optimal configuration of RC frames considering ultimate and serviceability limit state constraints vol.14, pp.2, 2021, https://doi.org/10.1590/s1983-41952021000200004