Research Article
Feb 1974
Elastic Analysis with Indeterminate Boundary Conditions
Publication: Journal of the Engineering Mechanics Division
Volume 100, Issue 1
Abstract
Elastic analysis of structures with boundary conditions where each may assume either of two configurations is considered. A trial and error approach is shown to be unreliable. It is proved that the principles of minimum potential energy and minimum complementary potential can be generalized to account for this type of boundary condition. These generalizations are used to formulate the analysis as a nonlinear programming problem in general, and as a quadratic programming problem for a linear material. Numerical examples of simple structures illustrate this approach.
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Published In
Journal of the Engineering Mechanics Division
Volume 100 • Issue 1 • February 1974
Pages: 49 - 62
Copyright
© 1974 American Society of Civil Engineers.
History
Published in print: Feb 1974
Published online: Feb 3, 2021
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Authors
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Antone F. Sayegh
Sr. Engr., C. F. Braun and Co., Alhambra, Calif.
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.