Optimization of cross-sectional dimensions of castellated beams with hexagonal openings

Authors

DOI:

https://doi.org/10.15587/1729-4061.2024.304803

Keywords:

castellated beam, hexagonal openings, optimal design, mixed variables, exhaustive search

Abstract

The object of this study is a castellated beam, in which the web openings have the shape of a regular hexagon. The beam is examined to find optimal cross-sectional dimensions. The optimization task is stated as the task of finding the optimal profile numbers for top and bottom Tees of the beam and the optimal width of the web opening while ensuring the required load-carrying capacity of the beam. Minimization of the volume of the beam material was considered as an optimality criterion. The stated optimization problem was solved using the exhaustive search method. For an assortment of normal I-beams with parallel flanges, castellated beams were obtained with optimal cross-sectional dimensions depending on the steel grade, the beam span, and the magnitude of transverse uniformly distributed load. The optimization calculations proved that it was possible to increase the elastic section modulus of the beam to 35.48...50 % through the use of a castellated web. Castellated beams with optimal cross-sectional dimensions at the same load-carrying capacity are characterized by lower steel consumption (up to 23.19 %) compared to I-beams with a solid web. Analysis of the results has made it possible to devise recommendations for the optimal distribution of material in the cross-sections of such beams. The results are valid only for the assortment of normal I-beam profiles and only for the case of uniformly distributed load acting on the beam when the compressed beam flange is laterally restrained from the bending plane and the beam web has openings in the form of regular hexagons. It is under such conditions that the reported results can be implemented in practice both at the stage of selecting cross-sections of the studied class of structures, and at the development of effective assortments of castellated beams

Author Biographies

Vitalina Yurchenko, Kyiv National University of Construction and Architecture

Doctor of Technical Sciences, Professor

Department of Metal and Wooden Constructions

Ivan Peleshko, Lviv Polytechnic National University

PhD, Associate Professor

Department of Building Production

Pavlo Rusyn, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”

Department of Dynamics and Strength of Machines and Strength of Materials

Education and Research Institute of Mechanical Engineering

References

  1. Pavlović, S. (2021). Techno-economic analysis of castellated and solid "I"- profiled steel beams in terms of load capacity and serviceability. STEPGRAD, 1 (13). https://doi.org/10.7251/stp1813739p
  2. Gezentsvey, Y., Olevskyi, V., Volchok, D., Olevskyi, O. (2021). Calculation of the improved steel beams of buildings and structures of the mining and metallurgical complex. Strength of Materials and Theory of Structures, 106, 54–67. https://doi.org/10.32347/2410-2547.2021.106.54-67
  3. Mahdi, A. S., Alshimmeri, A. J. H. (2023). Analytical study of castellated steel beams with and without strengthening web. AIP Conference Proceedings. https://doi.org/10.1063/5.0171338
  4. Yurchenko, V., Peleshko, I. (2021). Methodology for solving parametric optimization problems of steel structures. Magazine of Civil Engineering, 7 (107). https://doi.org/10.34910/MCE.107.5
  5. Poul, S., Mote, P. S. (2022). Optimization for various parameters of castellated beam containing sinusoidal openings. Journal of emerging technologies and innovative research, 9 (2), a253–a258. Available at: https://www.ijert.org/research/optimization-of-various-parameters-of-castellated-beam-containing-sinusoidal-openings-IJERTV10IS060008.pdf
  6. Kurlapkar, R., Patil, A. (2021). Optimization of various parameters of castellated beam containing sinusoidal openings. International journal of engineering research & technology, 10 (06), 120–123. Available at: https://www.ijert.org/research/optimization-of-various-parameters-of-castellated-beam-containing-sinusoidal-openings-IJERTV10IS060008.pdf
  7. Budi, L., Sukamta, Partono, W. (2017). Optimization Analysis of Size and Distance of Hexagonal Hole in Castellated Steel Beams. Procedia Engineering, 171, 1092–1099. https://doi.org/10.1016/j.proeng.2017.01.465
  8. Kaveh, A., Almasi, P., Khodagholi, A. (2022). Optimum Design of Castellated Beams Using Four Recently Developed Meta-heuristic Algorithms. Iranian Journal of Science and Technology, Transactions of Civil Engineering, 47 (2), 713–725. https://doi.org/10.1007/s40996-022-00884-z
  9. Yang, X. (2010). Engineering Optimization. John Wiley & Sons, Inc. https://doi.org/10.1002/9780470640425
  10. Kaveh, A., Kaveh, A., Shokohi, F. (2016). A hybrid optimization algorithm for the optimal design of laterally-supported castellated beams. Scientia Iranica, 23 (2), 508–519. https://doi.org/10.24200/sci.2016.2135
  11. Kaveh, A., Shokohi, F. (2015). Optimum design of laterally-supported castellated beams using CBO algorithm. Steel and Composite Structures, 18 (2), 305–324. https://doi.org/10.12989/scs.2015.18.2.305
  12. Erdal, F., Doğan, E., Saka, M. P. (2011). Optimum design of cellular beams using harmony search and particle swarm optimizers. Journal of Constructional Steel Research, 67 (2), 237–247. https://doi.org/10.1016/j.jcsr.2010.07.014
  13. Sorkhabi, R. V., Naseri, A., Naseri, M. (2014). Optimization of the Castellated Beams by Particle Swarm Algorithms Method. APCBEE Procedia, 9, 381–387. https://doi.org/10.1016/j.apcbee.2014.01.067
  14. Kaveh, A. (2014). Cost optimization of castellated beams using charged system search algorithm. Iranian Journal of Science and Technology - Transactions of Civil Engineering, 38 (C1+), 235–249. Available at: https://www.researchgate.net/publication/266933455_Cost_optimization_of_castellated_beams_using_charged_system_search_algorithm#fullTextFileContent
  15. Kaveh, A., Shokohi, F. (2016). Application of grey wolf optimizer in design of castellated beams. Asian Journal of Civil Engineering (BHRC), 17 (5), 683–700. Available at: https://www.researchgate.net/publication/287865960_Application_of_Grey_Wolf_Optimizer_in_design_of_castellated_beams#fullTextFileContent
  16. Permyakov, V. O., Yurchenko, V. V., Peleshko, I. D. (2006). An optimum structural computer-aided design using hybrid genetic algorithm. Proceeding of the International Conference “Progress in Steel, Composite and Aluminium Structures”, 819–826. Available at: https://www.researchgate.net/publication/318040068_An_optimum_structural_computer-aided_design_using_hybrid_genetic_algorithm#fullTextFileContent
  17. Tanady, K., Suryoatmono, B. (2024). Numerical Study of Behavior of Castellated Beam under Cyclic Loading. Civil Engineering and Architecture, 12 (1), 185–202. https://doi.org/10.13189/cea.2024.120116
  18. Soltani, M. R., Bouchaïr, A., Mimoune, M. (2012). Nonlinear FE analysis of the ultimate behavior of steel castellated beams. Journal of Constructional Steel Research, 70, 101–114. https://doi.org/10.1016/j.jcsr.2011.10.016
  19. Morkhade, S. G., Gupta, L. M. (2019). Behavior of Castellated Steel Beams: State of the Art Review. Electronic Journal of Structural Engineering, 19, 39–48. https://doi.org/10.56748/ejse.19234
  20. Elaiwi, S. S., Kim, B., Li, L. (2019). Linear and Nonlinear Buckling Analysis of Castellated Beams. International Journal of Structural and Civil Engineering Research, 8 (2), 83–93. https://doi.org/10.18178/ijscer.8.2.83-93
  21. Peleshko, I. D., Yurchenko, V. V. (2021). Parametric Optimization of Metal Rod Structures Using the Modified Gradient Projection Method. International Applied Mechanics, 57 (4), 440–454. https://doi.org/10.1007/s10778-021-01096-0
  22. Yurchenko, V. V., Peleshko, I. D., Biliaiev, N. (2021). Application of improved gradient projection method to parametric optimization of steel lattice portal frame. IOP Conference Series: Materials Science and Engineering, 1164 (1), 012090. https://doi.org/10.1088/1757-899x/1164/1/012090
  23. Jiang, T.-Y., Xu, M.-X., Geng, S., Wang, L. (2024). Calculation of deformation behavior and deflection of regular hexagonal castellated beams considering web weld damage. Engineering Mechanics, 41 (4), 199–209. https://doi.org/10.6052/j.issn.1000-4750.2022.04.0382
  24. Perelmuter, A., Kriksunov, E., Gavrilenko, I., Yurchenko, V. (2010). Designing bolted end-plate connections in compliance with Eurocode and Ukrainian codes: consistency and contradictions. Selected papers of the 10th International Conference “Modern Building Materials, Structures and Techniques”. Vol. II. Vilnius: Technika, 733–743. Available at: https://www.researchgate.net/publication/266038627_Designing_bolted_end-plate_connections_in_compliance_with_eurocode_and_ukrainian_codes_Consistency_and_contradictions
  25. Yurchenko, V., Peleshko, I. (2022). Optimization of cross-section dimensions of structural members made of cold-formed profiles using compromise search. Eastern-European Journal of Enterprise Technologies, 5 (7 (119)), 84–95. https://doi.org/10.15587/1729-4061.2022.261037
Optimization of cross-sectional dimensions of castellated beams with hexagonal openings

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Published

2024-06-03

How to Cite

Yurchenko, V., Peleshko, I., & Rusyn, P. (2024). Optimization of cross-sectional dimensions of castellated beams with hexagonal openings. Eastern-European Journal of Enterprise Technologies, 3(7 (129), 6–16. https://doi.org/10.15587/1729-4061.2024.304803

Issue

Vol. 3 No. 7 (129) (2024): Applied mechanics

Section

Applied mechanics

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Copyright (c) 2024 Vitalina Yurchenko, Ivan Peleshko, Pavlo Rusyn

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