Research Article
Jun 1963
Statical Indeterminacy and Stability of Structures
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VIEW THE REPLYPublication: Journal of the Structural Division
Volume 89, Issue 3
Abstract
Elements of linear graph theory are presented and used to generate a matrix whose dimensions and rank are necessary and sufficient for describing the static stability and indeterminacy of skeletal structures. It is demonstrated that for rigid frame with fixed supports, only one topological quantity, the first Betti number, is sufficient. When hinges, free ends, or other nonrigid connections or supports are present, geometrical information is also required.
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Published In
Journal of the Structural Division
Volume 89 • Issue 3 • June 1963
Pages: 63 - 76
Copyright
© 1963 American Society of Civil Engineers.
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Published in print: Jun 1963
Published online: Feb 1, 2021
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Frank L. Di-Maggio, M.ASCE
Assoc. Prof., Dept. of Civ. Engrg. and Engrg. Mech., Columbia Univ, New York, N.Y.
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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.