Three Dimensional Absolute Nodal Coordinate Formulation for Beam Elements: Theory

[+] Author and Article Information
Ahmed A. Shabana, Refaat Y. Yakoub

Department of Mechanical Engineering, University of Illinois at Chicago, 842 West Taylor St., Chicago, IL 60607-7022

J. Mech. Des 123(4), 606-613 (May 01, 2000) (8 pages) doi:10.1115/1.1410100 History: Received May 01, 2000
Copyright © 2001 by ASME
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Grahic Jump Location
Beam represented by its centerline
Grahic Jump Location
Rotation of the beam cross section
Grahic Jump Location
Definition of the torsion and shear (a) Rotation of beam cross section about its normal (b) Rotation of beam cross section due to shear βy (c) Rotation of beam cross section due to shear βz
Grahic Jump Location
Different beam shapes using cubic polynomials
Grahic Jump Location
Discontinuity of the slopes



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