Deformable Stiffener Welded to an Elastic Plate
Publication: Journal of Engineering Mechanics
Volume 140, Issue 10
Abstract
An approximate solution to the nonlinear problem of an elastic stiffener welded to an elastic plate is obtained in the form of a finite sum of Chebyshev polynomials. To an exact first-order approximation, the deformed length of the stiffener is proved to be greater than its undeformed length. Other conclusions show that the longitudinal force decreases when elongation of the stiffener is included, whereas the concentration coefficient, defined in terms of the singular behavior of the interactive force between the stiffener and the plate that occurs at either end, decreases when the elongation is sufficiently large.
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Acknowledgments
The authors are grateful to M. Venutelli for help in preparing the manuscript.
References
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© 2014 American Society of Civil Engineers.
History
Received: Dec 1, 2013
Accepted: Feb 20, 2014
Published online: Apr 3, 2014
Discussion open until: Sep 3, 2014
Published in print: Oct 1, 2014
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