Vol. 1, No. 8, 2006

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ISSN: 1559-3959
A direct one-dimensional beam model for the flexural-torsional buckling of thin-walled beams

Giuseppe Ruta, Marcello Pignataro and Nicola Rizzi

Vol. 1 (2006), No. 8, 1479–1496
Abstract

In this paper, the direct one-dimensional beam model introduced by one of the authors is refined to take into account nonsymmetrical beam cross-sections. Two different beam axes are considered, and the strain is described with respect to both. Two inner constraints are assumed: a vanishing shearing strain between the cross-section and one of the two axes, and a linear relationship between the warping and twisting of the cross-section. Considering a grade one mechanical theory and nonlinear hyperelastic constitutive relations, the balance of power, and standard localization and static perturbation procedures lead to field equations suitable to describe the flexural-torsional buckling. Some examples are given to determine the critical load for initially compressed beams and to evaluate their post-buckling behavior.

Keywords
thin-walled beams, direct one-dimensional models, flexural-torsional buckling
Milestones
Received: 13 January 2006
Accepted: 5 May 2006
Published: 1 December 2006
Authors
Giuseppe Ruta
Dipartimento di Ingegneria Strutturale e Geotecnica
Università “La Sapienza”
via Eudossiana 18
00184 Rome
Italy
http://w3.disg.uniroma1.it/GiusseppeRuta
Marcello Pignataro
Dipartimento di Ingegneria Strutturale e Geotecnica
Università “La Sapienza”
via Eudossiana 18
00184 Rome
Italy
Nicola Rizzi
Dipartimento di Strutture
Università Roma Tre
via Vito Volterra 62
00146 Rome
Italy