Lateral-torsional buckling of steel beams with simultaneously tapered flanges and web

Kuś, Juliusz

doi:10.1201/b21417-25

Cited by 3 publications

(4 citation statements)

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“…Figure (3) shows a steel plate of 25×50 mm was used in introducing the vertical point load at the mid-span of the beam [21]. The load was applied in increments as static point load using the RIKS method available in [23] library.…”

Section: Loads and Boundary Conditionsmentioning

confidence: 99%

“…When the load is placed above the shear center of the cross-section, the LTB capacity is smaller than in the case when loaded directly in the shear center. When the loads are applied below the shear center, the converse behavior takes place Kuś [3]. For flexural members having a non-uniform distribution of bending moments, it is possible to employ the equivalent uniform moment factor , defined as in the Eurocode 3 Code [4], providing the ratio of the critical moments between a specific variable and uniform distribution of bending moments.…”

Section: Introductionmentioning

confidence: 99%

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Generalized formula of moment gradient lateral torsional buckling factor for monosymmetric steel beams

Sharaf

Sayed²,

El-Ghandour³

et al. 2023

Port-Said Engineering Research Journal

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The lateral-torsional buckling (LTB) behavior of steel beams has been extensively reported. Most reports have been limited to study the doubly-symmetric beams besides a few other standard geometries. On the other hand, not so much research exists for monosymmetric steel beams, and LTB is one of the most critical design aspects for this type of beams. Codes allow the researchers to relate the critical moment to any in-plane loading to the standard uniform moment and members using the moment gradient factor. The moment gradient factor is an essential parameter in the design of steel cross-sections. Yet, it needs more to be applicable for cross-section shapes and boundary conditions. In this paper, a numerical model based on finite element analysis is presented, which is adopted to investigate the values of the moment gradient factor for different loading configurations. The model is developed to investigate the influence of load location with respect to the shear center of the beam section as well as the flange width ratio on the critical moment causing LTB. The numerical analysis results were validated, and new general equations for the moment gradient factor were developed to consider the effect of the different parameters.

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Section: Loads and Boundary Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Generalized formula of moment gradient lateral torsional buckling factor for monosymmetric steel beams

Sharaf

Sayed²,

El-Ghandour³

et al. 2023

Port-Said Engineering Research Journal

View full text Add to dashboard Cite

show abstract

“…In this paper the functional for the total potential energy of the beam, commonly available in the literature [1], [2], [3], [4] was used. Important element of present paper is now an introduction of the parameters defining the tapering of the web TP and flanges βTP into the integrands of the potential energy.…”

Section: Total Potential Energy For Beam With Tapered Cross-sectionmentioning

confidence: 99%

05.19: Lateral‐torsional buckling of steel beams with tapered flanges and web

Kuś

2017

ce papers

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Tapered steel beams are commonly applied in modern steel structures due to their less weight and more optimal solutions of the structural designs. That is why effective engineering solutions of the problem of their lateral-torsional buckling is expected. In the paper a procedure to solve the problem of calculating critical buckling moment of a tapered beam is proposed with the application of potential energy calculations using Ritz method. Respective solution allows to obtain critical moments initiating lateral buckling of the simply supported, modestly tapered steel I-beams. In particular, lateral-torsional buckling of beams with tapered flanges and the web are considered. Detailed, numerical, parametric analyses are carried out. Typical engineering, uniformly distributed design loads are considered for load applied to the top flange, shear centre, as well as to the bottom flange. The parametric analysis of beam with tapered cross-section, demonstrates that tapering of flanges influences much more the critical moments than tapering of the web. critical buckling moment depending on these parameters is derived and applied in detailed parametric study.

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“…A estabilidade não linear é considerada como base para a derivação das soluções matemáticas. (KUŚ, 2015) apresenta um procedimento para o cálculo do momento crítico de flambagem de uma viga cônica com a aplicação de conceitos da minimização da energia potencial, usando o método de Ritz. Os resultados obtidos permitem obter momentos críticos iniciando a flambagem lateral das vigas I de aço bem afuniladas e simplesmente apoiadas.…”

Section: Revisão Bibliográficaunclassified

Cálculo fracionário aplicado à avaliação de efeitos estruturais na deflexão de vigas biapoiadas

Ivelton Siqueira Lustosa

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Agradeço primeiramente a Deus, ser maior do Universo, por me dar força, saúde e disposição todos os dias para lutar pelos meus objetivos e me conceder esta importante vitória em mais essa etapa de busca pelo aperfeiçoamento profissional.Ao Prof. Dr. Flávio de Campos Bannwart, por aceitar orientar-me e pela disposição e apoio na orientação em todos os momentos que precisei durante o desenvolvimento do trabalho.Ao Prof. Dr. Edmundo Capelas de Oliveira, por confiar na minha pessoa e ter me orientado desde que o procurei inicialmente, indicando o Prof. Dr. Flávio e auxiliando na orientação durante todas as etapas do trabalho.À minha esposa e à minha filha, Maria Socorro e Maria Emília, pela paciência e apoio demonstrado durante todo o curso.A todos os membros da minha família, em especial à minha mãe Maria, ao meu pai, José e meus irmãos Eliane, Maria, João Batista e Antônio.A todos os professores que fazem parte do programa de Matemática aplicada -IMECC, pelos ensinamentos e orientação durante todo o desenvolvimento do curso.Aos meus colegas de turma, em especial a Michele, José Ronaldo, Heron, José Eduardo, André e José Manuel, pela união em longos momentos de estudos, que foram fundamentais para essa vitória.

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Lateral-torsional buckling of steel beams with simultaneously tapered flanges and web

Cited by 3 publications

References 1 publication

Generalized formula of moment gradient lateral torsional buckling factor for monosymmetric steel beams

Generalized formula of moment gradient lateral torsional buckling factor for monosymmetric steel beams

05.19: Lateral‐torsional buckling of steel beams with tapered flanges and web

Cálculo fracionário aplicado à avaliação de efeitos estruturais na deflexão de vigas biapoiadas

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