Elastic flexural local buckling of Litzka castellated beams: Explicit equations and FE parametric study
•Explicit equations for ‘tee’ buckling are developed using energy method.•Influence of transverse bending of web is considered.•Parametric analysis is carried out using FEM for Litzka-type beams.•Influence of stress gradient in the ‘tee’ buckling is studied using GBT.•It is shown that this buckling...
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| Published in: | Engineering structures Vol. 186; pp. 436 - 445 |
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| Language: | English |
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| Abstract | •Explicit equations for ‘tee’ buckling are developed using energy method.•Influence of transverse bending of web is considered.•Parametric analysis is carried out using FEM for Litzka-type beams.•Influence of stress gradient in the ‘tee’ buckling is studied using GBT.•It is shown that this buckling mode be relevant for high-strength steel.
This work presents the development of explicit equations for the prediction of elastic local buckling critical stress of castellated beams subjected to pure bending, considering the interaction between flange and web. Eigenvalue analyses are carried out for Litzka-type beams using Finite Element Method (FEM) to gather information on the buckling modes and critical stresses for combinations of usual flange-to-web width and thickness ratios. The representative compression ‘tee’ is analyzed using the Generalized Beam Theory (GBT) to study the influence of stress gradient and member length in the critical stress. The influences of flange torsional stiffness and web transverse bending in the ‘tee’ behavior are studied and an energy method is adopted to derive the prediction equations. It is shown that the proposed approach leads to a good agreement with the FEM results, with an average difference of 0.955 ± 0.063, whereas current guidelines may significantly over or underestimate actual critical stresses for low flange-to-web width ratios. It is finally shown that this buckling mode may become relevant for castellated beams using high-strength steel. |
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| AbstractList | •Explicit equations for ‘tee’ buckling are developed using energy method.•Influence of transverse bending of web is considered.•Parametric analysis is carried out using FEM for Litzka-type beams.•Influence of stress gradient in the ‘tee’ buckling is studied using GBT.•It is shown that this buckling mode be relevant for high-strength steel.
This work presents the development of explicit equations for the prediction of elastic local buckling critical stress of castellated beams subjected to pure bending, considering the interaction between flange and web. Eigenvalue analyses are carried out for Litzka-type beams using Finite Element Method (FEM) to gather information on the buckling modes and critical stresses for combinations of usual flange-to-web width and thickness ratios. The representative compression ‘tee’ is analyzed using the Generalized Beam Theory (GBT) to study the influence of stress gradient and member length in the critical stress. The influences of flange torsional stiffness and web transverse bending in the ‘tee’ behavior are studied and an energy method is adopted to derive the prediction equations. It is shown that the proposed approach leads to a good agreement with the FEM results, with an average difference of 0.955 ± 0.063, whereas current guidelines may significantly over or underestimate actual critical stresses for low flange-to-web width ratios. It is finally shown that this buckling mode may become relevant for castellated beams using high-strength steel. This work presents the development of explicit equations for the prediction of elastic local buckling critical stress of castellated beams subjected to pure bending, considering the interaction between flange and web. Eigenvalue analyses are carried out for Litzka-type beams using Finite Element Method (FEM) to gather information on the buckling modes and critical stresses for combinations of usual flange-to-web width and thickness ratios. The representative compression ‘tee’ is analyzed using the Generalized Beam Theory (GBT) to study the influence of stress gradient and member length in the critical stress. The influences of flange torsional stiffness and web transverse bending in the ‘tee’ behavior are studied and an energy method is adopted to derive the prediction equations. It is shown that the proposed approach leads to a good agreement with the FEM results, with an average difference of 0.955 ± 0.063, whereas current guidelines may significantly over or underestimate actual critical stresses for low flange-to-web width ratios. It is finally shown that this buckling mode may become relevant for castellated beams using high-strength steel. |
| Author | Sotelino, Elisa Dominguez Cardoso, Daniel Carlos Taissum de Oliveira, Julia Pithan |
| Author_xml | – sequence: 1 givenname: Julia Pithan surname: de Oliveira fullname: de Oliveira, Julia Pithan organization: FMS Group, Av. Ernesto Pinto Basto, 203 3720-210 Oliveira de Azeméis, AM Porto, Portugal – sequence: 2 givenname: Daniel Carlos Taissum surname: Cardoso fullname: Cardoso, Daniel Carlos Taissum email: dctcardoso@puc-rio.br organization: Department of Civil and Environmental Engineering, Pontifical Catholic University of Rio de Janeiro (PUC-Rio), R. Marquês de São Vicente, 225 – Gávea, Cardeal Leme Building, Rio de Janeiro, RJ 22451-900, Brazil – sequence: 3 givenname: Elisa Dominguez surname: Sotelino fullname: Sotelino, Elisa Dominguez organization: Department of Civil and Environmental Engineering, Pontifical Catholic University of Rio de Janeiro (PUC-Rio), R. Marquês de São Vicente, 225 – Gávea, Cardeal Leme Building, Rio de Janeiro, RJ 22451-900, Brazil |
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| CitedBy_id | crossref_primary_10_1016_j_jcsr_2021_106796 crossref_primary_10_1016_j_istruc_2022_11_074 crossref_primary_10_1061_PPSCFX_SCENG_1210 crossref_primary_10_21605_cukurovaumfd_1273712 crossref_primary_10_1016_j_engstruct_2021_112646 crossref_primary_10_1016_j_tws_2022_110513 crossref_primary_10_3390_buildings13030808 crossref_primary_10_1590_1679_78256062 crossref_primary_10_1016_j_engstruct_2019_109726 crossref_primary_10_1016_j_istruc_2024_106358 crossref_primary_10_1016_j_istruc_2021_05_047 crossref_primary_10_1016_j_tws_2022_109896 crossref_primary_10_1016_j_tws_2023_111107 crossref_primary_10_1016_j_engstruct_2019_109864 crossref_primary_10_1016_j_istruc_2024_106167 crossref_primary_10_1088_1742_6596_1676_1_012116 crossref_primary_10_1007_s42107_022_00552_7 crossref_primary_10_1016_j_jcsr_2022_107394 crossref_primary_10_1016_j_jcsr_2023_107775 crossref_primary_10_3390_ma13173881 |
| Cites_doi | 10.1016/j.tws.2014.01.013 10.1061/(ASCE)0733-9445(2003)129:11(1503) 10.1016/0143-974X(84)90004-X 10.1016/j.tws.2008.08.003 10.1016/S0143-974X(00)00035-3 10.1016/j.jcsr.2010.08.009 10.1016/j.tws.2009.05.001 10.1016/j.jcsr.2010.12.012 10.1016/0263-8231(86)90005-4 10.1016/j.tws.2010.04.012 10.1016/0263-8231(90)90003-H 10.1016/0263-8231(94)90027-2 10.1016/j.jcsr.2011.10.016 10.1002/stco.201310021 10.1016/0143-974X(92)90037-F 10.1016/j.jcsr.2011.02.004 10.1061/(ASCE)0733-9445(1998)124:10(1202) 10.1016/j.tws.2017.12.002 10.1016/0143-974X(93)90050-3 10.1016/j.compstruct.2017.09.027 |
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10.1016/j.engstruct.2019.02.034_b0080 article-title: On the local and global buckling behaviour of angle, T-section and cruciform thin-walled members publication-title: Thin-Walled Struct doi: 10.1016/j.tws.2010.04.012 contributor: fullname: Dinis – volume: 10 start-page: 13 issue: 1 year: 1990 ident: 10.1016/j.engstruct.2019.02.034_b0075 article-title: Lateral-distortional buckling of tee-section beams publication-title: Thin-Walled Struct doi: 10.1016/0263-8231(90)90003-H contributor: fullname: Bradford – year: 1961 ident: 10.1016/j.engstruct.2019.02.034_b0085 contributor: fullname: Timoshenko – year: 1939 ident: 10.1016/j.engstruct.2019.02.034_b0115 contributor: fullname: Stowell – year: 1957 ident: 10.1016/j.engstruct.2019.02.034_b0110 contributor: fullname: Gerard – ident: 10.1016/j.engstruct.2019.02.034_b0130 – volume: 19 start-page: 161 issue: 2–4 year: 1994 ident: 10.1016/j.engstruct.2019.02.034_b0135 article-title: Generalized beam theory — an adequate method for coupled stability problems publication-title: Thin-Walled Struct doi: 10.1016/0263-8231(94)90027-2 contributor: fullname: Schardt – ident: 10.1016/j.engstruct.2019.02.034_b0090 – volume: 70 start-page: 101 year: 2012 ident: 10.1016/j.engstruct.2019.02.034_b0045 article-title: Nonlinear FE analysis of the ultimate behavior of steel castellated beams publication-title: J Constr Steel Res doi: 10.1016/j.jcsr.2011.10.016 contributor: fullname: Soltani – volume: 6 start-page: 117 issue: 2 year: 2013 ident: 10.1016/j.engstruct.2019.02.034_b0140 article-title: Buckling analysis of thin-walled steel structures using generalized beam theory (GBT): state-of-the-art report publication-title: Steel Construct doi: 10.1002/stco.201310021 contributor: fullname: Camotim – volume: 23 start-page: 73 issue: 1–3 year: 1992 ident: 10.1016/j.engstruct.2019.02.034_b0005 article-title: Plate slenderness limits for high strength steel sections publication-title: J Constr Steel Res doi: 10.1016/0143-974X(92)90037-F 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| Snippet | •Explicit equations for ‘tee’ buckling are developed using energy method.•Influence of transverse bending of web is considered.•Parametric analysis is carried... This work presents the development of explicit equations for the prediction of elastic local buckling critical stress of castellated beams subjected to pure... |
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| SubjectTerms | Beam theory (structures) Buckling Castellated beams Compression Eigenvalues Elastic buckling Finite element method High strength steels Litzka beams Local buckling Mathematical analysis Parametric statistics Steel Stiffness Stress Stresses Webs |
| Title | Elastic flexural local buckling of Litzka castellated beams: Explicit equations and FE parametric study |
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