Iterative eigenvalue analysis for stability design of threedimensional frames considering a fictitious axial force factor

Dong Ho Choi, Ho Sung Na, Jin Woo Jung, Hoon Yoo

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In design of steel frames, it is well known that the euler buckling equation with eigenvalue analysis may lead to unexpectedly blarge effective lengths of members that have relatively small axial force. This paper illustrated the use of a fictitious axial force factor to overcome the problem mentioned above. Considering a fictitious axial force factor, the illustrated method determines the elastic and inelastic effective lengths of each member in three-dimensional steel frames based on iterative schemes and the stiffness reduction factors. To verify the validity of the illustrated method, the effective lengths of example frames by the proposed method were compared with those of previously established methods. The results show that the proposed method gives reasonable effective lengths of all members in space frames, and can be a good substitute for previously established methods.

Original languageEnglish
Pages (from-to)325-335
Number of pages11
JournalInternational Journal of Steel Structures
Volume10
Issue number4
DOIs
StatePublished - 2010 Dec 1

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Steel
Buckling
Stiffness

Keywords

  • Effective length
  • Eigenvalue analysis
  • Fictitious axial force
  • Steel frame
  • System buckling approach

Cite this

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abstract = "In design of steel frames, it is well known that the euler buckling equation with eigenvalue analysis may lead to unexpectedly blarge effective lengths of members that have relatively small axial force. This paper illustrated the use of a fictitious axial force factor to overcome the problem mentioned above. Considering a fictitious axial force factor, the illustrated method determines the elastic and inelastic effective lengths of each member in three-dimensional steel frames based on iterative schemes and the stiffness reduction factors. To verify the validity of the illustrated method, the effective lengths of example frames by the proposed method were compared with those of previously established methods. The results show that the proposed method gives reasonable effective lengths of all members in space frames, and can be a good substitute for previously established methods.",
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Iterative eigenvalue analysis for stability design of threedimensional frames considering a fictitious axial force factor. / Choi, Dong Ho; Na, Ho Sung; Jung, Jin Woo; Yoo, Hoon.

In: International Journal of Steel Structures, Vol. 10, No. 4, 01.12.2010, p. 325-335.

Research output: Contribution to journalArticle

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AU - Choi, Dong Ho

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AU - Jung, Jin Woo

AU - Yoo, Hoon

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N2 - In design of steel frames, it is well known that the euler buckling equation with eigenvalue analysis may lead to unexpectedly blarge effective lengths of members that have relatively small axial force. This paper illustrated the use of a fictitious axial force factor to overcome the problem mentioned above. Considering a fictitious axial force factor, the illustrated method determines the elastic and inelastic effective lengths of each member in three-dimensional steel frames based on iterative schemes and the stiffness reduction factors. To verify the validity of the illustrated method, the effective lengths of example frames by the proposed method were compared with those of previously established methods. The results show that the proposed method gives reasonable effective lengths of all members in space frames, and can be a good substitute for previously established methods.

AB - In design of steel frames, it is well known that the euler buckling equation with eigenvalue analysis may lead to unexpectedly blarge effective lengths of members that have relatively small axial force. This paper illustrated the use of a fictitious axial force factor to overcome the problem mentioned above. Considering a fictitious axial force factor, the illustrated method determines the elastic and inelastic effective lengths of each member in three-dimensional steel frames based on iterative schemes and the stiffness reduction factors. To verify the validity of the illustrated method, the effective lengths of example frames by the proposed method were compared with those of previously established methods. The results show that the proposed method gives reasonable effective lengths of all members in space frames, and can be a good substitute for previously established methods.

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