Large Deflection of Beams under Moment Gradient
Publication: Journal of Engineering Mechanics
Volume 120, Issue 9
Abstract
Two different approaches are presented for the large‐deflection analysis of an inextensible elastic beam under moment gradient. One end of the beam is hinged and at a fixed distance away from this end is a frictionless support where the beam can slide freely. In the first approach, the differential equation based on elastica theory is formulated and solved by using elliptic integrals; which yield a closed‐form solution. In the second approach, the governing differential equations are solved numerically by the shooting‐optimization technique in which the fourth‐order Runge‐Kutta algorithm and an optimization algorithm are employed. Comparison studies of the results obtained from the two methods are made and the results are found to be in very good agreement.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 120 • Issue 9 • September 1994
Pages: 1848 - 1860
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Aug 8, 1993
Published online: Sep 1, 1994
Published in print: Sep 1994
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