A Novel Straight Beam Element for Lateral-Distortional Deformation Analysis of Frames and Curved Beams Made of Monosymmetric I-Sections

Author:

Liu Y. Z.1ORCID,Yang Y. B.23ORCID,Liu X. H.2,Guo D. Z.2,Xu H.2

Affiliation:

1. Department of Civil Engineering, Tsinghua University, Beijing 100084, P. R. China

2. School of Civil Engineering, Chongqing University, Chongqing 400045, P. R. China

3. School of Civil Engineering and Architecture, Chongqing University of Science and Technology, Chongqing 401331, P. R. China

Abstract

Conventional beam elements ignoring distortion may overestimate the lateral resistance of frames and curved beams made of monosymmetric I-sections. This paper introduces two new distortional modes represented by mechanical couples relative to twisting and shearing of the two flanges that are opposite in directions but unequal in magnitudes. A straight beam element with nine degrees of freedom (DOFs) per node, including the conventional three translations, three rotations, warping and the new two distortions, is newly derived. This allows all the DOFs of the connected elements at a common joint to be easily transformed to the global coordinates for stiffness assembly. As a result, the warping–distortion compatibility problem that occurs in frames and curved beams is resolved. In the numerical examples, the results produced by the present beam element is demonstrated to agree excellently with the shell-element solutions for the lateral-distortional deformation of the angled frame and curved beam. It is observed that the cross-sectional distortion effect becomes extremely significant for angled frames of short unbraced length and for curved beams of high curvature.

Funder

National Natural Science Foundation of China

Chongqing Science and Technology Commission

China Postdoctoral Science Foundation

Publisher

World Scientific Pub Co Pte Ltd

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