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Computational Science, Engineering & Technology Series
ISSN 1759-3158
Edited by: J. Kruis, Y. Tsompanakis and B.H.V. Topping
Chapter 16

On the Modelling of Thin Walled Beams

N.L. Rizzi

Modelling and Simulation Laboratory, "Roma Tre" University, Italy

Full Bibliographic Reference for this chapter
N.L. Rizzi, "On the Modelling of Thin Walled Beams", in J. Kruis, Y. Tsompanakis and B.H.V. Topping, (Editors), "Computational Techniques for Civil and Structural Engineering", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 16, pp 367-388, 2015. doi:10.4203/csets.38.16
Keywords: thin walled beams, one-dimensional beam models, buckling and post-buckling analysis, nonlinear elasticity.

Thin walled beams can be modelled as three-dimensional bodies, shell, folded plates or, as their shape seems to suggest, as one-dimensional continua. In the last case it must be pointed out that, also in the framework of the linear elasticity, the Saint- Venant solutions cannot apply, in most of the cases. This essentially is because, generally speaking, they do not obey the Saint-Venant principle. Starting from the beginning of the twentieth century, many attempts have been made to generate handy and reliable one-dimensional models for thin walled beams in both linear and nonlinear fields. These proposals are examined by considering the cases in which the starting point is a three-dimensional body, a two-dimensional (plate or shell) model, a direct one-dimensional continuum. The most relevant features of the structural behaviour of thin walled beams are discussed and some results obtained by using one-dimensional models in both linear and nonlinear analyses, are reported.

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