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Explicit equations for anti-symmetric distortional buckling of thin-walled lipped channel columns
https://orcid.org/0000-0003-4710-976X
Abstract This paper presents an energy-based method to obtain expressions for the critical length and buckling stress of anti-symmetric distortional mode for lipped channel columns using the Rayleigh quotient method. Displacement functions are assumed for each wall of the cross-section and, by applying compatibility and equilibrium conditions, a close representation of the stability phenomenon is reached with explicit calculation of its warping profile. The derived expressions for the critical length and buckling stress are compared to results obtained with GBTUL in a parametric study providing accurate predictions (proposed/GBTUL stress ratio = 1.011 ± 0.014).
Highlights An energy-based model for anti-symmetric distortional buckling in lipped channel columns is proposed. The Rayleigh quotient method is applied to the model leading to closed-form expressions for critical length and stress. The mode’s warping profile is derived using equilibrium conditions, coinciding with previous results found in literature. The proposed formulae is compared to GBTUL showing good agreement (average differences are approximately 1.011 ± 0.014).
Explicit equations for anti-symmetric distortional buckling of thin-walled lipped channel columns
https://orcid.org/0000-0003-4710-976X
Abstract This paper presents an energy-based method to obtain expressions for the critical length and buckling stress of anti-symmetric distortional mode for lipped channel columns using the Rayleigh quotient method. Displacement functions are assumed for each wall of the cross-section and, by applying compatibility and equilibrium conditions, a close representation of the stability phenomenon is reached with explicit calculation of its warping profile. The derived expressions for the critical length and buckling stress are compared to results obtained with GBTUL in a parametric study providing accurate predictions (proposed/GBTUL stress ratio = 1.011 ± 0.014).
Highlights An energy-based model for anti-symmetric distortional buckling in lipped channel columns is proposed. The Rayleigh quotient method is applied to the model leading to closed-form expressions for critical length and stress. The mode’s warping profile is derived using equilibrium conditions, coinciding with previous results found in literature. The proposed formulae is compared to GBTUL showing good agreement (average differences are approximately 1.011 ± 0.014).
Explicit equations for anti-symmetric distortional buckling of thin-walled lipped channel columns
https://orcid.org/0000-0003-4710-976X
Abstract This paper presents an energy-based method to obtain expressions for the critical length and buckling stress of anti-symmetric distortional mode for lipped channel columns using the Rayleigh quotient method. Displacement functions are assumed for each wall of the cross-section and, by applying compatibility and equilibrium conditions, a close representation of the stability phenomenon is reached with explicit calculation of its warping profile. The derived expressions for the critical length and buckling stress are compared to results obtained with GBTUL in a parametric study providing accurate predictions (proposed/GBTUL stress ratio = 1.011 ± 0.014).
Highlights An energy-based model for anti-symmetric distortional buckling in lipped channel columns is proposed. The Rayleigh quotient method is applied to the model leading to closed-form expressions for critical length and stress. The mode’s warping profile is derived using equilibrium conditions, coinciding with previous results found in literature. The proposed formulae is compared to GBTUL showing good agreement (average differences are approximately 1.011 ± 0.014).
Explicit equations for anti-symmetric distortional buckling of thin-walled lipped channel columns
de Salles, Guilherme C. (author) / Batista, Eduardo de M. (author) / Cardoso, Daniel C.T. (author)
Thin-Walled Structures ; 176
2022-04-11
Article (Journal)
Electronic Resource
English