%0 Journal Article %J Math. Models Methods Appl. Sci. 22, 1150016 (2012) %D 2012 %T Nonlinear thin-walled beams with a rectangular cross-section-Part I %A Lorenzo Freddi %A Maria Giovanna Mora %A Roberto Paroni %X Our aim is to rigorously derive a hierarchy of one-dimensional models for thin-walled beams with rectangular cross-section, starting from three-dimensional nonlinear elasticity. The different limit models are distinguished by the different scaling of the elastic energy and of the ratio between the sides of the cross-section. In this paper we report the first part of our results. %B Math. Models Methods Appl. Sci. 22, 1150016 (2012) %I World Scientific %G en_US %U http://hdl.handle.net/1963/4104 %1 300 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2010-11-17T08:45:48Z\\r\\nNo. of bitstreams: 1\\r\\nFreddi_79M.pdf: 331698 bytes, checksum: 3b0d6e3d51984a8e8222753a57064ee9 (MD5) %R 10.1142/S0218202511500163