Research Article
Jan 1952
Limit Design of Beams and Frames
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VIEW THE REPLYAuthors: H. J. Greenberg, ASCE, and W. PragerAuthor Affiliations
Publication: Transactions of the American Society of Civil Engineers
Volume 117, Issue 1
Abstract
The paper is concerned with the limit design of statically indeterminate beams or frames under the action of given loads. The limit moments· under which individual sections act as yield hinges are supposed to be known throughout the structure and the safety factor against collapse is sought. This safety factor is defined as. the multiple to which the actual loads must be increased before yield. hinges develop in a number sufficient to render the structure unstable. Two extremum principles are established for the safety factor. With these principles two estimates of the safety factor can, be obtained, one of which is known to be too small whereas the other is known to be too large. The gap between these estimates can be reduced by a repeated application of the extremum principles.
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© 1952 American Society of Civil Engineers.
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Published in print: Jan 1952
Published online: Feb 10, 2021
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H. J. Greenberg, ASCE
Asst. Prof. of Math., Carnegie Inst. of Tech., Pittsburgh, Pa.
W. Prager
Prof. of Applied Mechanics, Brown Univ., Providence, R. I.
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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.