Research Article
Apr 1975
Gradient Methods in Optimum Structural Design
Publication: Journal of the Structural Division
Volume 101, Issue 4
Abstract
The paper presents two new gradient-based methods for the optimum design of skeletal structures. Both methods can accommodate stress, member size, and displacement constraints and can converge to an optimum that is either a vertex or a nonvertex of the feasible region. The Method of Incomplete Gradients uses the dominant terms of the active constraint gradients and converges rapidly for normal acting structures. The Method of Auxiliary Gradients augments active constraints with auxiliary constraints when necessary, uses the full gradients, and converges rapidily for structures with normal or hybrid action. The two methods, together with the Stress Ratio Method, are arranged into an efficient automatic design technique that can start at any initial design. The technique is applied to the design of two rigid frames having displacement constraints and multiple loadings.
Get full access to this article
View all available purchase options and get full access to this article.
Information & Authors
Information
Published In
Journal of the Structural Division
Volume 101 • Issue 4 • April 1975
Pages: 939 - 956
Copyright
© 1975 American Society of Civil Engineers.
History
Published in print: Apr 1975
Published online: Feb 1, 2021
Permissions
Request permissions for this article.
Authors
Affiliations
Emil O. Frind, AM.ASCE
Asst. Prof., Dept. of Earth Sciences, Univ. of Waterloo, Waterloo, Ontario, Canada
Peter M. Wright, M.ASCE
Assoc. Prof., Dept. of Civ. Engrg., Univ. of Toronto, Toronto, Ontario, Canada
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.
Cited by
View Options
Get Access
Access content
Please select your options to get access
Log in/Register
Log in via your institution (Shibboleth)
ASCE Members:
Please log in to see member pricing
Purchase
Save for later Item saved, go to cart Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
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.
Get Access
Access content
Please select your options to get access
Log in/Register
Log in via your institution (Shibboleth)
ASCE Members:
Please log in to see member pricing
Purchase
Save for later Item saved, go to cart Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
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.