Curved Beam Elements for Nonlinear Analysis
Publication: Journal of Engineering Mechanics
Volume 115, Issue 4
Abstract
Two curved beam elements are derived for the buckling and nonlinear analyses of horizontally curved I‐beams. Starting from a continuum mechanics basis, the incremental equation of equilibrium is established for a bar in its deformed state using an updated Lagrangian formulation. The curved beam elements presented herein are advantageous in that the effects of curvature and warping are consistently considered. Difference in the performance of each element is primarily due to the use of different shape functions. Numerical examples will be given to illustrate the applicability of the two elements and the inconsistencies of modeling a curved beam with chordwise straight beam elements.
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Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 115 • Issue 4 • April 1989
Pages: 840 - 855
Copyright
Copyright © 1989 ASCE.
History
Published online: Apr 1, 1989
Published in print: Apr 1989
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