Research Article
Jul 1969
Flexibility Influence Functions for Curved Beams
Publication: Journal of the Structural Division
Volume 95, Issue 7
Abstract
The curve representing the elastic axis may consist of straight sections, curved sections, or both, and may have a locus of points lying in a plane or in three-space. Each differential element of the elastic axis is given six degrees of freedom, namely, three translations and three rotations. Three shears and three moments are assumed to act at each point of the elastic axis. In passing to the limit as all segment lengths simultaneously approach zero, the general element becomes a flexibility influence function. The results of the method are illustrated through the derivation of the flexibility influence functions associated with a circular beam with uniform stiffness. Mention is also made of how the procedure presented may be applied to special beam problems.
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Published In
Journal of the Structural Division
Volume 95 • Issue 7 • July 1969
Pages: 1407 - 1429
Copyright
© 1969 American Society of Civil Engineers.
History
Published in print: Jul 1969
Published online: Feb 1, 2021
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Authors
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Myron C. Young
Research Engr., Structures Research Staff, The Boeing Co. Commerical Airplane Div., Renton, Wash.
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