Analytical Model of Nonlinear Semi-rigid Frames Using Finite Element Method

Authors

  • Shahrin Mohammad School of Civil Engineering, Faculty of Engineering, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia
  • Ahmad Baharuddin Abd Rahman School of Civil Engineering, Faculty of Engineering, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia
  • Cher Siang Tan School of Civil Engineering, Faculty of Engineering, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor,
  • Yeong Huei Lee Department of Civil and Construction Engineering, Faculty of Engineering and Science, Curtin University Malaysia, CDT250, 98009 Miri, Sarawak, Malaysia

DOI:

https://doi.org/10.30564/jaeser.v3i4.2593

Abstract

Performance-based design for a constructional steel frame in nonlinear-plastic region requires an improvement in order to achieve a reliable structural analysis. The need to explicitly consider the nonlinear behaviour of structures makes the numerical modelling approach much more favourable than expensive and potentially dangerous experimental work. The parameters considered in the analysis are not limited to the linear change of geometry and material yielding, but also include the effect of large deformations, geometrical imperfections, load eccentricities, residual stresses, strain-unloading, and the nonlinear boundary conditions. Such analysis requires the use of accurate mathematical modelling and effective numerical procedures for solving equations of equilibrium. With that in mind, this paper presents the mathematical formulations and finite element procedures of nonlinear inelastic steel frame analysis with quasi-static semi-rigid connections. Verification and validation of the developed analytical procedures are conducted and good agreements are obtained. It is an approach that enables the structural behaviour of constructional steel frames to be traced throughout the entire range of loading until failure. It also provides information on the derivation of the structural analysis by using finite element method.

Keywords:

Finite Element Method; Nonlinearity; Steel Frame; Semi-rigid Connection

References

[1] Díaz C., Martí P., Victoria M., Querin O. M. Review on the modelling of joint behaviour in steel frames. Journal of Constructional Steel Research, 2011, 67(5): 741-758.

[2] Bathe K.J. Finite Element Procedures. Unite State of America: Prentice Hall, 2006.

[3] Bangash M.Y.H. Concrete and concrete structures: Numerical modelling and applications. London: Elsevier Applied Science, 1989.

[4] Lourenço P.B., Milani G., Tralli A., Zucchini A. Analysis of masonry structures: review of and recent trends in homogenization techniques. Canadian Journal of Civil Engineering, 2007, 34(11): 1443-1457.

[5] Ashraf M. Gardner L., Nethercot D. A. Finite element modelling of structural stainless steel cross-sections. Thin-Walled Structures, 2007, 44(10): 1048- 1062.

[6] Spacone E., El-Tawil S. Nonlinear analysis of steel-concrete composite structures: State of the art. Journal of Structural Engineering, 2004, 130(2): 159- 168.

[7] Bakis C. E., Bank L. C., Brown V. L., Cosenza E., Davalos J. F., Lesko J. J., Machida A., Rizkalla S. H., Triantafillou. Fiber-reinforced polymer composites for construction - state-of-the-art review. Journal of Composites for Construction, 2002, 6(2): 73-87.

[8] Banihashemi M. R., Mirzagoltabar A. R., Tavakoli H. R. Development of the performance based plastic design for steel moment resistant frame. International Journal of Steel Structures, 2015, 15(1): 51-62.

[9] El-Zanaty M.H., Murray D.W., Bjorhovde R. Inelastic Behaviour of Multi-storey Steel Frames. In: Structural Engineering Report No. 83. Alberta, Canada: Department of Civil Engineering, University of Alberta, 1980.

[10] Lee S.L., Basu P.K. Secant Method for nonlinear semi-rigid frames. Journal of Constructional Steel Research, 1989, 14(4): 273-299.

[11] Majid, K.I. Non-linear structure. New York:Wiley Interscience, 1972.

[12] Goto Y., Chen W.F. Second-order elastic plastic stability of in frame design. Journal of Structural Division ASCE, 1987, 113(7): 1501-1519.

[13] Wen Y., Zeng Q. Y. A novel approach to elasto-plastic finite element analysis of beam structures using the concept of incremental secant stiffness. Finite Elements in Analysis and Design, 2010, 46(11): 982- 991.

[14] Oran C. Tangent stiffness in plane frames. Journal of Structural Division ASCE, 1973, 99(ST6): 973-985.

[15] McNamee B.M., Lu L.W. Inelastic multistory frame buckling. Journal of Structural Division ASCE, 1972, 88(ST7): 1613-1631.

[16] Robert T.M. Behaviour of non-linear structures. PhD Thesis, University College, Cardiff, UK, 1970.

[17] Desai C.S., Abel J.F. Introduction to finite element method: A numerical method for engineering analysis. New Delhi:CBS Publishers & Distributors Pvt. Ltd, 2005.

[18] Rodrigue, F. C., Saldanha A. C., Pfeil M. S. Non-linear analysis of steel plane frames with semi-rigid connections. Journal of Constructional Steel Research, 1998, 46(1-3): 94-97.

[19] Akroyd, M.H. Nonlinear inelastic stability of flexibly-connected plane steel frame. PhD Thesis, University of Colorado, Boulder, CO, 1979.

[20] Goverdhan A.V. A collection of experimental moment-rotation curves and evaluation of prediction equations for semi-rigid connections. Master Thesis, Vanderbilt University, Nashville, TN, USA, 1983.

[21] Narayanan R. Steel Frame Structures, Stability and Strength. New York: Elsevier Applied Science, 1985.

[22] Liu X.-L., Lam Y. C. Acceleration of iterative procedures for the elasto-plastic finite element method. Finite Elements in Analysis and Design, 1994, 18(1- 3): 41-49.

[23] Chen,W.F., Lui, E.M. Structural Stability - Theory and Implementation. New York: Elsevier Science Publication Co., Inc, 1987.

Downloads

How to Cite

Mohammad, S., Rahman, A. B. A., Tan, C. S., & Lee, Y. H. (2020). Analytical Model of Nonlinear Semi-rigid Frames Using Finite Element Method. Journal of Architectural Environment & Structural Engineering Research, 3(4), 22–27. https://doi.org/10.30564/jaeser.v3i4.2593

Issue

Vol. 3 , Iss. 4 (October 2020): Special Issue

Article Type

Article

License

Copyright © 2020 Shahrin Mohammad, Ahmad Baharuddin Abd Rahman , Cher Siang Tan, Yeong Huei Lee

Creative Commons License

This is an open access article under the Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) License.

Crossref
Scopus
Google Scholar
Europe PMC