Optimizing Structures Subject to Multiple Deflection Constraints and Load Cases Using the Principle of Virtual Work
Publication: Journal of Structural Engineering
Volume 136, Issue 11
Abstract
This paper presents an iterative automated method for optimizing structures with multiple deflection criteria and load cases. The method is based on the principle of virtual work. Discrete sections are selected for structures with fixed geometries. An optimal structure is one which meets all strength and deflection criteria using minimal material. Four case studies are considered in this paper. A simple portal frame is presented to show how the method works. A 60-story frame is optimized to demonstrate the effectiveness of the method for large structures. A warehouse designed by professional engineers is presented to show how the method can be used for structures subjected to complex loading conditions and deflection criteria. The automated method’s solution is 4.5% lighter than the engineers’. Finally, a stepped cantilever is optimized and compared to results in literature. Material savings of up to 14.4% are realized.
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Acknowledgments
This research was supported in part by the Southern African Institute of Steel Construction (SAISC). The writers would like to thank Mr. Spencer Erling of SAISC for his helpful comments and suggestions.
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Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 136 • Issue 11 • November 2010
Pages: 1444 - 1452
Copyright
© 2010 ASCE.
History
Received: Oct 23, 2009
Accepted: May 9, 2010
Published online: May 28, 2010
Published in print: Nov 2010
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