@inproceedings{20154001325130 ,
language = {English},
copyright = {Compilation and indexing terms, Copyright 2023 Elsevier Inc.},
copyright = {Compendex},
title = {Elastic Stability of uniform and non-uniform members with arbitrary boundary conditions and intermediate lateral restraints},
journal = {Structural Stability Research Council Annual Stability Conference 2015, SSRC 2015},
author = {Beyer, Andre and Galea, Yvan and Bureau, Alain and Boissonnade, Nicolas},
year = {2015},
pages = {438 - 458},
address = {Nashville, TN, United states},
abstract = {The elastic stability of tapered beams has been investigated many times in the past. However, most of these studies consider beams subjected to bending moments only and therefore they do not consider the influence of axial force on the stability of the member. Consequently, flexural and torsional buckling modes under pure compression or combined compression and bending cannot be represented. The present paper presents-To the authors' knowledge-The first freely available program, LTBeamN, that allows designers to assess the-out-of plane elastic stability of beam columns considering the combined influences of the taper of the beam, intermediate lateral restraints and interaction of axial force and bending moments. First, the theoretical background of LTBeamN is presented. The linear and geometrical element stiffness matrices of the beam elements are derived on the basis of the energy method. In particular, the influence of the taper on the torsional behavior of the beam is pointed out. Numerical examples are then given to illustrate and validate the calculation of the critical load amplifier. Finally, a practical example shows how LTBeamN can simplify the verification of a tapered member with intermediate lateral restraints, by means of the global slenderness concept as proposed by the European standard Eurocode 3 (CEN 2005).<br/> Copyright &copy; 2015 by the Structural Stability Research Council.},
key = {Bending moments},
keywords = {Stability;Axial flow;Buckling;Stiffness matrix;},
note = {Arbitrary boundary conditions;Elastic stability;European Standards;Lateral restraint;Non-uniform members;Stiffness matrices;Torsional behaviors;Torsional buckling;},
}

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However, most of these studies consider beams subjected to bending moments only and therefore they do not consider the influence of axial force on the stability of the member. Consequently, flexural and torsional buckling modes under pure compression or combined compression and bending cannot be represented. The present paper presents-To the authors' knowledge-The first freely available program, LTBeamN, that allows designers to assess the-out-of plane elastic stability of beam columns considering the combined influences of the taper of the beam, intermediate lateral restraints and interaction of axial force and bending moments. First, the theoretical background of LTBeamN is presented. The linear and geometrical element stiffness matrices of the beam elements are derived on the basis of the energy method. In particular, the influence of the taper on the torsional behavior of the beam is pointed out. Numerical examples are then given to illustrate and validate the calculation of the critical load amplifier. Finally, a practical example shows how LTBeamN can simplify the verification of a tapered member with intermediate lateral restraints, by means of the global slenderness concept as proposed by the European standard Eurocode 3 (CEN 2005).<br/> Copyright &copy; 2015 by the Structural Stability Research Council.","key":"20154001325130","keywords":"Stability;Axial flow;Buckling;Stiffness matrix;","note":"Arbitrary boundary conditions;Elastic stability;European Standards;Lateral restraint;Non-uniform members;Stiffness matrices;Torsional behaviors;Torsional buckling;","bibtex":"@inproceedings{20154001325130 ,\nlanguage = {English},\ncopyright = {Compilation and indexing terms, Copyright 2023 Elsevier Inc.},\ncopyright = {Compendex},\ntitle = {Elastic Stability of uniform and non-uniform members with arbitrary boundary conditions and intermediate lateral restraints},\njournal = {Structural Stability Research Council Annual Stability Conference 2015, SSRC 2015},\nauthor = {Beyer, Andre and Galea, Yvan and Bureau, Alain and Boissonnade, Nicolas},\nyear = {2015},\npages = {438 - 458},\naddress = {Nashville, TN, United states},\nabstract = {The elastic stability of tapered beams has been investigated many times in the past. However, most of these studies consider beams subjected to bending moments only and therefore they do not consider the influence of axial force on the stability of the member. Consequently, flexural and torsional buckling modes under pure compression or combined compression and bending cannot be represented. The present paper presents-To the authors' knowledge-The first freely available program, LTBeamN, that allows designers to assess the-out-of plane elastic stability of beam columns considering the combined influences of the taper of the beam, intermediate lateral restraints and interaction of axial force and bending moments. First, the theoretical background of LTBeamN is presented. The linear and geometrical element stiffness matrices of the beam elements are derived on the basis of the energy method. In particular, the influence of the taper on the torsional behavior of the beam is pointed out. Numerical examples are then given to illustrate and validate the calculation of the critical load amplifier. 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