Elastic lateral-torsional buckling of general cold-formed steel beams under uniform moment

The design of unbraced cold-formed steel beams must consider lateral-torsional buckling due to the low torsional stiffness associated with open cross-sections. The American Iron and Steel Institute incorporated design equations for the critical elastic lateral-torsional buckling stress in the North...

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Published inThin-walled structures Vol. 119; pp. 586 - 592
Main Author Glauz, R.S.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.2017
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Abstract The design of unbraced cold-formed steel beams must consider lateral-torsional buckling due to the low torsional stiffness associated with open cross-sections. The American Iron and Steel Institute incorporated design equations for the critical elastic lateral-torsional buckling stress in the North American Specification for the Design of Cold-Formed Steel Structural Members. These equations are based on elastic theory for singly-symmetric and doubly-symmetric sections. However, the equation for point-symmetric sections is only a rough approximation. Furthermore, there are no provisions for lateral-torsional buckling of non-symmetric sections, or sections oriented to non-principal axes. This paper investigates and develops a general formulation of the lateral-torsional buckling equation to broadly cover all cold-formed steel cross-sections. [Display omitted] •A general form of the lateral-torsional buckling equation has been developed.•This equation is applicable to non-symmetric shapes oriented to non-principal axes.•Numerical methods provided results with good agreement.•Predictions for point-symmetric sections are improved over current specifications.•This solution benefits the engineer so that more complex methods are not required.
AbstractList The design of unbraced cold-formed steel beams must consider lateral-torsional buckling due to the low torsional stiffness associated with open cross-sections. The American Iron and Steel Institute incorporated design equations for the critical elastic lateral-torsional buckling stress in the North American Specification for the Design of Cold-Formed Steel Structural Members. These equations are based on elastic theory for singly-symmetric and doubly-symmetric sections. However, the equation for point-symmetric sections is only a rough approximation. Furthermore, there are no provisions for lateral-torsional buckling of non-symmetric sections, or sections oriented to non-principal axes. This paper investigates and develops a general formulation of the lateral-torsional buckling equation to broadly cover all cold-formed steel cross-sections. [Display omitted] •A general form of the lateral-torsional buckling equation has been developed.•This equation is applicable to non-symmetric shapes oriented to non-principal axes.•Numerical methods provided results with good agreement.•Predictions for point-symmetric sections are improved over current specifications.•This solution benefits the engineer so that more complex methods are not required.
Author Glauz, R.S.
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Cites_doi 10.1061/(ASCE)0733-9445(1992)118:11(2949)
10.1061/(ASCE)0733-9445(1992)118:11(2967)
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Keywords Non-symmetric sections
Cold-formed steel
Lateral-torsional buckling
Non-principal axes
Language English
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References North American Specification for the Design of Cold-Formed Steel Structural Members, 2016 Edition. American Iron and Steel Institute, Washington, DC, 2016.
Peköz, Winter (bib5) 1969; 95
Timoshenko, Gere (bib4) 1961
Cold-Formed Steel Design Manual, 2013 Edition. American Iron and Steel Institute, Washington, DC, 2014.
Pi, Trahair (bib6) 1992; 118
Pi, Trahair (bib7) 1992; 118
Vlasov (bib3) 1961
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Vlasov (10.1016/j.tws.2017.07.010_bib3) 1961
Peköz (10.1016/j.tws.2017.07.010_bib5) 1969; 95
Timoshenko (10.1016/j.tws.2017.07.010_bib4) 1961
Pi (10.1016/j.tws.2017.07.010_bib6) 1992; 118
Pi (10.1016/j.tws.2017.07.010_bib7) 1992; 118
References_xml – volume: 95
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  ident: bib5
  article-title: Torsional-flexural buckling of thin-walled sections under eccentric load
  publication-title: J. Struct. Div., ASCE
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  ident: bib6
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  ident: bib7
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  article-title: Prebuckling deflections and lateral buckling I: theory
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  article-title: Torsional-flexural buckling of thin-walled sections under eccentric load
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  article-title: Prebuckling deflections and lateral buckling II: applications
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Snippet The design of unbraced cold-formed steel beams must consider lateral-torsional buckling due to the low torsional stiffness associated with open cross-sections....
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SubjectTerms Cold-formed steel
Lateral-torsional buckling
Non-principal axes
Non-symmetric sections
Title Elastic lateral-torsional buckling of general cold-formed steel beams under uniform moment
URI https://dx.doi.org/10.1016/j.tws.2017.07.010
Volume 119
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