The lateral buckling of steel I-shape beams with continuous torsional elastic restraints

Roman Bijak


Department of Mechanics, Metal Structures and Computer Methods; Faculty of Civil Engineering and Architecture; Kielce University of Technology (Poland)

Abstract

A simple model of the lateral buckling of steel I-shape beams with elastic and continuous torsional restraints was developed. The lateral buckling beams with free warping were formulated as differential equations in terms of torsion angle. The stability equations were approximately solved with the use of the Bubnow-Galerkin orthogonalization method. The proposed approximate formulas provide the estimation of lateral buckling moment with good enough accuracy for designing purposes.


Keywords:

thin-walled bars, open cross-section, continuous torsional elastic restraints

PN-EN 1993-1-1:2006. Projektowanie konstrukcji stalowych − Część 1-1: Reguły ogólne i reguły dla budynków.
  Google Scholar

Galéa Y. Moment critique de déversement élastique de poutre fléchies –Présentation du logiciel LTBEAM. Revue Construction Métallique.CTICM, 2 (2003).
  Google Scholar

Stahlbau-Kalender 2009. Herausgegeben von Kuhlman U. Ernst & Sohn, Berlin 2009.
  Google Scholar

Trahair N.S., Bradford M.A., Nethercot D.A., Gardner L. The behaviour and design of steel structures to EC3. Furth edition, Taylor & Francis, London and New York 2008.
  Google Scholar

Mohri F., Brouki A., Roth J.C.: Theoretical and numerical stability analyses of unrestrained, mono symmetric thin-walled beams. Journal of Constructional Steel Research 59 (2003) 63–90.
  Google Scholar

Serna M.A., López A., Puente I., Yong D.J.: Equivalent uniform moment factors for lateral–torsional buckling of steel members. Journal of Constructional Steel Research 62 (2006) 566–580.
  Google Scholar

Bijak R.: Ogólny przypadek zwichrzenia belek o dwuteowym przekroju bisymetrycznym podpartych widełkowo. Zeszyty Naukowe Politechniki Rzeszowskiej 276, Budownictwo i Inżynieria Środowiska 58 (3/2011/II) 201-208.
  Google Scholar

Bijak R.: Moment krytyczny zwichrzenia niestężonych bisymetrycznych belek dwu-teowych podpartych widełkowo. ICMS2011 Conference, Wrocław 2011.
  Google Scholar

Pałkowski Sz.: Konstrukcje stalowe. Wydawnictwo Naukowe PWN, Warszawa 2010.
  Google Scholar

DIN 18800 Teil 2. Stahlbauten. Stabilitätsfälle, Knicken von Stäben und Stabwerken. Nov. 1990.
  Google Scholar

Lindner J., Groeschel F.: Drehbettungswerte für die Profilblechbefestigung mit Seltzbolzen bei unterschiedlich großen Auflasten. Stahlbau 65 (1996) 218-224.
  Google Scholar

12 Trahair, N.S.: Flexural-Torsional Buckling of Structures, CRC Press, Boca Raton 1993.
DOI: https://doi.org/10.1201/9781482271218   Google Scholar


Published
2013-06-11

Cited by

Bijak, R. (2013) “The lateral buckling of steel I-shape beams with continuous torsional elastic restraints”, Budownictwo i Architektura, 12(2), pp. 181–188. doi: 10.35784/bud-arch.2128.

Authors

Roman Bijak 

Department of Mechanics, Metal Structures and Computer Methods; Faculty of Civil Engineering and Architecture; Kielce University of Technology Poland

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