Analytical solutions attempt for lateral torsional buckling of doubly symmetric web-tapered I-beams

•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...

Full description

Saved in:
Bibliographic Details
Published in:Engineering structures 2013-11, Vol.56, p.1207-1219
Main Authors: Benyamina, Abdelrahmane Bekaddour, Meftah, Sid Ahmed, Mohri, Foudil, Daya, El Mostafa
Format: Article
Language:English
Subjects:
Algebra
Applied sciences
Beams (structural)
Buckling
Building structure
Buildings. Public works
Chemical Sciences
Computation methods. Tables. Charts
Construction (buildings and works)
Engineering Sciences
Exact sciences and technology
H beams
I beams
Lateral-torsional buckling
Material chemistry
Mathematical analysis
Mathematical models
Metal structure
Non-linear
Ritz’s method
Strength of materials (elasticity, plasticity, buckling, etc.)
Structural analysis. Stresses
Tapering
Web-tapered
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:•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. 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.
ISSN:0141-0296
1873-7323
DOI:10.1016/j.engstruct.2013.06.036