Fully Coupled 10-Degree-of-Freedom Beam Theory for Piecewise Straight Thin-Walled Beams with General Quadrilateral Cross Sections
Publication: Journal of Structural Engineering
Volume 136, Issue 12
Abstract
A fully coupled 10-degree-of-freedom (DOF) beam theory is developed for the analysis of thin-walled closed piecewise straight beams of general quadrilateral cross sections. The developed beam theory can predict the structural response of arbitrarily shaped thin-walled quadrilateral sectioned beams that are curved or connected to each other through a number of angled joints. For accurate prediction, the local effects by four beam sectional deformations such as torsional warping, torsional distortion, bending warping, and bending distortion must be taken into account in addition to the structural responses by standard six translational and rotational DOFs of the Timoshenko beam theory. When two straight beams of general quadrilateral sections meet at an angle, all 10 DOF deformations become fully coupled. Furthermore, it is not easy to derive the exact interface conditions at the angled joint because 10 DOFs have different physical behavior. For the analysis of the beam system in consideration, the section deformation patterns corresponding to all of the 10 DOFs are presented. In particular, the cross-sectional shape functions for bending distortion and bending warping for general quadrilateral sections are derived for the first time. Then, a systematic method to match 10 DOFs of two straight quadrilateral beams meeting at a joint of an arbitrary angle is developed. Several numerical case studies are considered to check the validity of the developed beam analysis.
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Acknowledgments
The first writer was supported by the National Research Foundation of Korea (Grant No. UNSPECIFIED2009-0065925). The second writer was supported by the National Creative Research Initiatives Program (National Research Foundation of Korea, Grant No. UNSPECIFIED2009-0083279) contracted through the Institute of Advanced Machinery and Design at Seoul National University and by the WCU (World Class University) program (Grant No. R31-2008-000-10083-0) through the Korea Research Foundation funded by the Ministry of Education, Science, and Technology.
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Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 136 • Issue 12 • December 2010
Pages: 1596 - 1607
Copyright
© 2010 ASCE.
History
Received: Jun 24, 2009
Accepted: May 22, 2010
Published online: May 28, 2010
Published in print: Dec 2010
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