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Analytical solutions attempt for lateral torsional buckling of doubly symmetric web-tapered I-beams
Highlights New non-linear kinematical model which is more consistent for web tapered I-beam is proposed, New geometrical parameters related to the tapering effect are considered in this work. Non-linear analysis for large torsions by Ritz method is developed. New formula for calculation of the critical moment of flexural-torsional buckling is proposed.
Abstract The elastic lateral torsional buckling behavior of doubly symmetric web tapered thin-walled beams is investigated in this work. For the purpose, a non-linear model is developed in large torsion context according to a new kinematics proposed model. Firstly, the elastic equilibrium governing equations are carried out from the stationary condition. Secondly, the Ritz’s method is deployed in order to derive the algebraic equilibrium equations. From this system, an analytical formula is proposed for the lateral buckling strength of web tapered beams in function of the classical stiffness terms, the load height position and the tapering parameter. The proposed formula is simple and gives accurate results when compared to finite element simulations. For this aim some numerical examples are considered in the validation process.
Analytical solutions attempt for lateral torsional buckling of doubly symmetric web-tapered I-beams
Highlights New non-linear kinematical model which is more consistent for web tapered I-beam is proposed, New geometrical parameters related to the tapering effect are considered in this work. Non-linear analysis for large torsions by Ritz method is developed. New formula for calculation of the critical moment of flexural-torsional buckling is proposed.
Abstract The elastic lateral torsional buckling behavior of doubly symmetric web tapered thin-walled beams is investigated in this work. For the purpose, a non-linear model is developed in large torsion context according to a new kinematics proposed model. Firstly, the elastic equilibrium governing equations are carried out from the stationary condition. Secondly, the Ritz’s method is deployed in order to derive the algebraic equilibrium equations. From this system, an analytical formula is proposed for the lateral buckling strength of web tapered beams in function of the classical stiffness terms, the load height position and the tapering parameter. The proposed formula is simple and gives accurate results when compared to finite element simulations. For this aim some numerical examples are considered in the validation process.
Analytical solutions attempt for lateral torsional buckling of doubly symmetric web-tapered I-beams
Benyamina, Abdelrahmane Bekaddour (author) / Meftah, Sid Ahmed (author) / Mohri, Foudil (author) / Daya, El Mostafa (author)
Engineering Structures ; 56 ; 1207-1219
2013-06-25
13 pages
Article (Journal)
Electronic Resource
English
Analytical solutions attempt for lateral torsional buckling of doubly symmetric web-tapered I-beams
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