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Elastic rotational restraint of web-post in cellular beams with sinusoidal openings

  • Received : 2012.08.02
  • Accepted : 2014.06.29
  • Published : 2015.02.25

Abstract

Experimental tests on cellular beams with sinusoidal openings showed two main failure modes around the openings. They concern the formation of four plastic hinges and the local instability of the sinusoidal part of the opening. In parallel, numerical analysis of the sinusoidal part of the opening revealed the existence of an elastic rotational restraint between the intermediate web-post and the adjacent opening panel. The aim of the present study is to present an approach to quantify this rotational restraint. Through the response surface method, a mathematical model is proposed. It shows a great ability to predict the rotational restraint value as a function of the geometrical parameters of the opening. This model can be used to perform an extensive study with various geometrical configurations of beams with the aim to develop a reliable and realistic analytical model predicting the resistance of the sinusoidal openings.

Keywords

References

  1. Audebert, M., Dhima, D., Taazount, M. and Bouchair, A. (2012), "Behavior of dowelled and bolted steel-to-timber connections exposed to fire", Eng. Struct., 39, 116-125. https://doi.org/10.1016/j.engstruct.2012.02.010
  2. Balasubramanian, M., Jayabalan, V. and Balasubramanian, V. (2008a), "Developing mathematical models to predict tensile properties of pulsed current gas tungsten arc welded Ti-6AI-4V alloy", Mater. Des., 29(1), 92-97. https://doi.org/10.1016/j.matdes.2006.12.001
  3. Balasubramanian, M., Jayabalan, V. and Balasubramanian, V. (2008b), "Developing mathematical models to predict grain size and hardness of argon tungsten pulse current arc welded titanium alloy", J. Mater. Process. Tech., 196(1-3), 222-229. https://doi.org/10.1016/j.jmatprotec.2007.05.039
  4. CEA (2012), CAST3M Website, Last visit on July 2012. URL: http://www-cast3m.cea.fr
  5. Cheng, S., Miao, J. and Wu, S. (2012), "Investigating the effects of operational factors on PEMFC performance based CFD simulations using a three-level full factorial design", Renew. Energ., 39(1), 250-260. https://doi.org/10.1016/j.renene.2011.08.009
  6. Chung, K.F., Liu, T.C.H. and Ko, A.C.H. (2001), "Investigation on Vierendeel Mechanism in steel beams with circular web openings", J. Constr. Steel Res., 5(57), 467-490.
  7. Darwin, D. (2003), Design of Steel and Composite Beams with Web Openings, Design Guide 2, (3rd Edition), AISC, 65 p.
  8. Durif, S. (2012), "Mechanical behavior of cellular beams with sinusoidal openings-development of an adapted analytical model", Ph.D. Thesis, Blaise Pascal University, Clermont-Ferrand, France. [In French]
  9. Durif, S., Bouchair, A. and Vassart, O. (2013a), "Experimental and numerical evaluation of web-post specimen representing the cellular beams with sinusoidal openings", Eng. Struct., 59, 587-598.
  10. Durif, S., Bouchair, A. and Vassart, O. (2013b), "Experimental and numerical modeling of cellular beams with sinusoidal openings", J. Constr. Steel Res., 82, 72-87. https://doi.org/10.1016/j.jcsr.2012.12.010
  11. El-Sawy, K.M. and Nazmy, A.S. (2001), "Effect of aspect ratio on the elastic buckling of uniaxially loaded plates with eccentric holes", Thin-Wall. Struct., 39(12), 983-998. https://doi.org/10.1016/S0263-8231(01)00040-4
  12. EN 1993-1-1 (2003), Eurocode 3 - Design of steel structures - part1-1: General rules for buildings.
  13. ENV 1993-1-1 (1995), Design of steel structures - Part 1-1: General rules and rules for buildings, Annex N.
  14. Gandomi, A.H., Tabatabei, S.M., Moradian, M.H., Radfar, A. and Alavi, A.H. (2011), "A new prediction model for the load capacity of castellated steel beams", J. Constr. Steel Res., 67(7), 1096-1105. https://doi.org/10.1016/j.jcsr.2011.01.014
  15. Johansson, B., Macquois, R., Sedlacek, G., Muller, C. and Beg, D. (2007), "Commentary and worked examples to EN 1993-1-5: plated structural elements", JRC Scientific and Technical Reports.
  16. Kerdal, D. and Nethercot, D.A. (1984), "Failure modes of castellated beams", J. Constr. Steel Res., 4(4), 295-315. https://doi.org/10.1016/0143-974X(84)90004-X
  17. Lagaros, N.D., Lemonis, D.P., Papadrakakis M. and Panagitou, G. (2008), "Optimum design of steel structures with web openings", Eng. Struct., 30(9), 2528-2537. https://doi.org/10.1016/j.engstruct.2008.02.002
  18. Lawson, R.M. and Hicks, S.J. (2005), "Developments in composite construction and cellular beams", Steel Compos. Struct., Int. J., 5(2), 193-202. https://doi.org/10.12989/scs.2005.5.2_3.193
  19. Lawson, R.M., Lim, J., Hicks, S.J. and Simms, W.I. (2006), "Design of composite asymmetric cellular beams and beams with large web openings", J. Constr. Steel Res., 6(62), 614-629.
  20. Le, K.T. (2012), "Identification of random characteristics of embankments from the health monitoring of structures: application to port structures", Ph.D. Thesis, Faculte des Sciences et des Techniques, Universite de Nantes, Nantes, France. [In French]
  21. Madadi, F., Ashrafizadeh, F. and Shamanian, M. (2012), "Optimization of pulsed TIG cladding process of satellite ally on carbon steel using RSM", J. Alloy Compd., 510(1), 71-77. https://doi.org/10.1016/j.jallcom.2011.08.073
  22. Nadjai, A., Vassart, O., Ali, F., Talamona, D., Allam, A. and Hawes, M. (2007), "Performance of cellular composite floor beams at elevated temperatures", Fire Safety J., 42(6-7), 489-497. https://doi.org/10.1016/j.firesaf.2007.05.001
  23. Pillet, M. (2001), Experimental Design by the TAGUCHI Method (Les plans d'experiences par la methode Taguchi), (3rd Edition), Organisation (Groupe Eyrolles), Paris, France. [In French]
  24. Redwood, R.G. (1978), "Analysis and design of the beams with web openings", Revue Construction Metallique, 3, 15-27. [In French]
  25. Soltani, M.R., Bouchair, A. and Mimoune, M. (2012), "Nonlinear FE analysis of the ultimate behavior of steel castellated beams", J. Constr. Steel Res., 70, 101-114. https://doi.org/10.1016/j.jcsr.2011.10.016
  26. Tsavdaridis, K.D. (2010), "Stuctural performance of perforated steel beams with novel web openings and with partial concrete encasement", Ph.D. Thesis, School of Engineering and Mathematical Sciences, City University, London, UK.
  27. Tsavdaridis, K.D. and D'Mello, C. (2011), "Web buckling study of the behavior and strength of perforated steel beams with different novel web opening shapes", J. Constr. Steel Res., 67(10), 1605-1620. https://doi.org/10.1016/j.jcsr.2011.04.004
  28. Veljkovic, M., Johansson, B., Lawson, R.M., Hicks, S., Cajot, L.G., Vassart, O., Bureau, A., Feldmann, M., Muller, C. and Hechler, O. (2006), "Large web openings for service integration in composite floors", CECA Projects, 120 p.
  29. Ward, J.K. (1990), Design of Composite and Non-Composite Cellular Beams, The Steel Construction Institute Publication, UK, 100 p.

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