Research Article
Apr 1963
Network-Topological Formulation of Structural Analysis
This article has a reply.
VIEW THE REPLYThis article has a reply.
VIEW THE REPLYPublication: Journal of the Structural Division
Volume 89, Issue 4
Abstract
Structural analysis is formulated using topological and algebraic laws which are counterparts of those used in treating electric network problems. The structural problem has three aspects: Topological interconnections, geometric relationship, and mechanical properties of members. Formulation as a network problem follows directly once these aspects have been identified and characterized by matrix equations. Thus, a unified and generalized approach to structural analysis is obtained. Geometric manipulations and load-deflection relationships of structural members are reviewed, and abstract topological and algebraic properties of the network problem are described. Then, equilibrium, continuity, and load-deflection relationships are shown to correspond to basic network properties. Force and displacement methods of analyzing linear, framed structures are developed as counterparts of mesh and node methods of network analysis. This formulation, adaptable to a digital computer, paves the way for applying to structural problems many existing and future developments in network analysis, design, and synthesis. Specifically, it permits the use of Kron's method of piecewise analysis.
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 89 • Issue 4 • April 1963
Pages: 483 - 514
Copyright
© 1963 American Society of Civil Engineers.
History
Published in print: Apr 1963
Published online: Feb 1, 2021
Permissions
Request permissions for this article.
Authors
Affiliations
Steven J. Fenves, AM.ASCE
Assoc. Prof. of Civ. Engrg., Univ. of Illinois, Urbana, Ill. Currently, visiting Assoc. Prof., Massachusetts Inst. of Tech., Cambridge, Mass.
Franklin H. Branin Jr.
Development Engr., Development Lab., Data Systems Div., International Business Machines Corp., Poughkeepsie, N.Y.
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.