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A one‐dimensional theory of thin‐walled curved rectangular box beams under torsion and out‐of‐plane bending
Author(s) -
Kim Yoon Young,
Kim Youngkyu
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.357
Subject(s) - image warping , torsion (gastropod) , curvature , timoshenko beam theory , degrees of freedom (physics and chemistry) , bending , beam (structure) , structural engineering , distortion (music) , mathematics , geometry , physics , classical mechanics , engineering , computer science , medicine , amplifier , surgery , cmos , optoelectronics , quantum mechanics , artificial intelligence
Abstract A new five degree‐of‐freedom one‐dimensional theory is proposed for the analysis of thin‐walled curved rectangular box beams subjected to torsion and out‐of‐plane bending. In addition to the usual three degrees of freedom used for solid curved beams, two additional degrees corresponding to warping and distortion are included in the present theory. The coupling between the deformations corresponding to five degrees of freedom due to the curvature of the beam is carefully treated in the present work. The superior behaviour of the present beam theory is verified through numerical examples. Copyright © 2001 John Wiley & Sons, Ltd.