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Elastic buckling of I-beams under linear moment gradient
Affiliation:1. L''orme des merisiers – Immeuble Apollo, 91193 Saint-Aubin, France;2. University Laval, Canada;3. University of Lorraine, France;4. Steel Research Department CTICM, France;1. Department of Civil Engineering, State University of Maringá, Brazil;2. Department of Civil Engineering, Federal University of Rio Grande do Sul, Brazil
Abstract:This paper investigates the elastic lateral–torsional buckling of I-beams under linear moment gradient that very precisely incorporates the effects of moment gradient and various end restraints. The elastic critical buckling moments are obtained independently by using: (1) the Bubnov–Galerkin method and (2) the finite element method. The present formula of the moment gradient correction factor cannot satisfactorily predict the buckling capacities of doubly symmetric and monosymmetric I-beams with various end restraints. We propose alternative equations for evaluating the moment gradient correction factor, considering end restraint conditions.
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