Research Article
Jan 1980
Constraints for Axial Strains in Frames
Publication: Journal of the Structural Division
Volume 106, Issue 1
Abstract
In the stiffness method of analysis, as applied to plane and space frames, axial strains in members may be systematically omitted using constraint conditions that prohibit length changes. With these conditions it is possible to solve for some of the unknown joint translations in terms of others. The number of dependent joint translations is equal to the rank of the coefficient matrix for the constraint equations. When these equations are combined with joint equilibrium equations, the number of the latter is reduced by eliminating the dependent joint translations and retaining the independent joint translations and rotations. A further reduction in the number of equilibrium equations is also accomplished by eliminating the joint rotations and keeping only the remaining joint translations as unknowns in the solution. The procedure developed pertains to both two- and three- dimensional frames and is suitable for automation on a digital computer.
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Published In
Journal of the Structural Division
Volume 106 • Issue 1 • January 1980
Pages: 199 - 209
Copyright
© 1980 American Society of Civil Engineers.
History
Published in print: Jan 1980
Published online: Feb 1, 2021
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Authors
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William Weaver Jr., M.ASCE
Prof. of Struct. Engrg., Dept. of Civ. Engrg., Stanford Univ., Stanford, Calif.
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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.