Statical Indeterminacy and Stability of Structuresby Frank L. Di-Maggio,
Serial Information: Journal of the Structural Division, 1963, Vol. 89, Issue 3, Pg. 63-76
Document Type: Journal Paper
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.
Subject Headings: Structural stability | Matrix (mathematics) | Linear functions | Geometrics | Rigid frames | Hinges
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