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A one‐dimensional theory of thin‐walled curved rectangular box beams under torsion and out‐of‐plane bending

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.