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A platform for research: civil engineering, architecture and urbanism
Formulation of the critical lateral buckling moment of steel beams under asymmetric loadings
https://orcid.org/0000-0002-2038-0421
https://orcid.org/0000-0002-7709-141X
Abstract This article investigates the elastic lateral buckling of unrestrained beams. According to the design code, the beam strength is function of the lateral buckling moment. In literature, the buckling moment is function on bending distribution, load height position and the monosymmetry cross section shape. The coefficients are affected to these parameters in the solution. However, no formula or table is available for the case of beams subjected to nonsymmetrical loading. This article proposes an analytical formulation for the critical moment for lateral–torsional buckling of steel beams under asymmetrical loading. The expression of the critical buckling moment, which is based on the Galerkin method, as well as the coefficients (3C) that affect the intensity of the critical moment for asymmetric loading cases, are then proposed. The present method is compared to numerical simulations and available solutions in literature. The results obtained allowed concluding that in the case of asymmetrical loading, the application of the loading cases proposed by the CCM 97 remains unsafe.
Highlights An analytical formulation for the critical moment of steel beams under asymmetrical loading is developed. The moment gradient factor for beams under linear moment gradient is presented. The obtained results are discussed and compared to available solutions. Different design codes may give different results.
Formulation of the critical lateral buckling moment of steel beams under asymmetric loadings
https://orcid.org/0000-0002-2038-0421
https://orcid.org/0000-0002-7709-141X
Abstract This article investigates the elastic lateral buckling of unrestrained beams. According to the design code, the beam strength is function of the lateral buckling moment. In literature, the buckling moment is function on bending distribution, load height position and the monosymmetry cross section shape. The coefficients are affected to these parameters in the solution. However, no formula or table is available for the case of beams subjected to nonsymmetrical loading. This article proposes an analytical formulation for the critical moment for lateral–torsional buckling of steel beams under asymmetrical loading. The expression of the critical buckling moment, which is based on the Galerkin method, as well as the coefficients (3C) that affect the intensity of the critical moment for asymmetric loading cases, are then proposed. The present method is compared to numerical simulations and available solutions in literature. The results obtained allowed concluding that in the case of asymmetrical loading, the application of the loading cases proposed by the CCM 97 remains unsafe.
Highlights An analytical formulation for the critical moment of steel beams under asymmetrical loading is developed. The moment gradient factor for beams under linear moment gradient is presented. The obtained results are discussed and compared to available solutions. Different design codes may give different results.
Formulation of the critical lateral buckling moment of steel beams under asymmetric loadings
https://orcid.org/0000-0002-2038-0421
https://orcid.org/0000-0002-7709-141X
Abstract This article investigates the elastic lateral buckling of unrestrained beams. According to the design code, the beam strength is function of the lateral buckling moment. In literature, the buckling moment is function on bending distribution, load height position and the monosymmetry cross section shape. The coefficients are affected to these parameters in the solution. However, no formula or table is available for the case of beams subjected to nonsymmetrical loading. This article proposes an analytical formulation for the critical moment for lateral–torsional buckling of steel beams under asymmetrical loading. The expression of the critical buckling moment, which is based on the Galerkin method, as well as the coefficients (3C) that affect the intensity of the critical moment for asymmetric loading cases, are then proposed. The present method is compared to numerical simulations and available solutions in literature. The results obtained allowed concluding that in the case of asymmetrical loading, the application of the loading cases proposed by the CCM 97 remains unsafe.
Highlights An analytical formulation for the critical moment of steel beams under asymmetrical loading is developed. The moment gradient factor for beams under linear moment gradient is presented. The obtained results are discussed and compared to available solutions. Different design codes may give different results.
Formulation of the critical lateral buckling moment of steel beams under asymmetric loadings
Belaid, Toufik (author) / Slimani, Adel (author) / Ammari, Fatiha (author) / Boukhalfa, Dalila (author) / Adman, Redouane (author)
Thin-Walled Structures ; 182
2022-09-14
Article (Journal)
Electronic Resource
English
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