Steel and Composite Structures

  • 제6권5호
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  • Pages.401-415
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  • 2006
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Effects of load height application and pre-buckling deflections on lateral buckling of thin-walled beams

  • Mohri, F. (IUT Nancy-Brabois, Departement Geie Civil, Universite Henri Poincare) ;
  • Potier-Ferry, M. (LPMM, UMR CNRS 7554, ISGMP, Universite Paul Verlaine-Metz)
  • 투고 : 2005.11.16
  • 심사 : 2006.05.23
  • 발행 : 2006.10.25
⟨ 이전 논문 다음 논문 ⟩

초록

Based on a non-linear model taking into account flexural-torsional couplings, analytical solutions are derived for lateral buckling of simply supported I beams under some representative load cases. A closed form is established for lateral buckling moments. It accounts for bending distribution, load height application and pre-buckling deflections. Coefficients $C_1$ and $C_2$ affected to these parameters are then derived. Regard to well known linear stability solutions, these coefficients are not constant but depend on another coefficient $k_1$ that represents the pre-buckling deflection effects. In numerical simulations, shell elements are used in mesh process. The buckling loads are achieved from solutions of eigenvalue problem and by bifurcations observed on non linear equilibrium paths. It is proved that both the buckling loads derived from linear stability and eigenvalue problem lead to poor results, especially for I sections with large flanges for which the behaviour is predominated by pre-buckling deflection and the coefficient $k_1$ is large. The proposed solutions are in good agreement with numerical bifurcations observed on non linear equilibrium paths.

키워드

참고문헌

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피인용 문헌

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  2. Natural frequencies and buckling of compressed non-symmetric thin-walled beams vol.111, 2017, https://doi.org/10.1016/j.tws.2016.11.021
  3. Effect of Eccentric Lateral Bracing Stiffness on Lateral Torsional Buckling Resistance of Wooden Beams vol.18, pp.02, 2018, https://doi.org/10.1142/S021945541850027X
  4. Lateral buckling of thin-walled beam-column elements under combined axial and bending loads vol.46, pp.3, 2008, https://doi.org/10.1016/j.tws.2007.07.017
  5. Large torsion analysis of thin-walled open sections beams by the Asymptotic Numerical Method vol.81, 2014, https://doi.org/10.1016/j.engstruct.2014.09.045
  6. A beam finite element for non-linear analyses of thin-walled elements vol.46, pp.7-9, 2008, https://doi.org/10.1016/j.tws.2008.01.028
  7. Buckling and lateral buckling interaction in thin-walled beam-column elements with mono-symmetric cross sections vol.37, pp.5, 2013, https://doi.org/10.1016/j.apm.2012.07.053
  8. Investigation of innovative steel runway beam in industrial building vol.40, pp.7, 2015, https://doi.org/10.1007/s12046-015-0406-2
  9. Stability analysis of thin-walled beams with open section subject to arbitrary loads vol.105, 2016, https://doi.org/10.1016/j.tws.2016.04.008
  10. Lateral Torsional Buckling of Wooden Beams with Midspan Lateral Bracing Offset from Section Midheight vol.143, pp.11, 2017, https://doi.org/10.1061/(ASCE)EM.1943-7889.0001359
  11. Pre-buckling deflection effects on stability of thin-walled beams with open sections vol.13, pp.1, 2012, https://doi.org/10.12989/scs.2012.13.1.071