Research Article
Dec 1963
Matrix Analysis of Semi-Rigidly Connected Frames
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VIEW THE REPLYAuthors: G. R. Monforton and T. S. Wu, AM.ASCEAuthor Affiliations
Publication: Journal of the Structural Division
Volume 89, Issue 6
Abstract
Frames with semi-rigid connections are investigated. Relationships between forces and displacements at the ends of a member with elastically restrained ends are derived. The force components, in terms of the end displacements, are arranged in matrix form. Stiffness matrices of a member with elastic restraint at the ends are presented, in the form of the stiffness matrices for members with rigid connections, modified by a correction matrix whose elements are functions of parameters, designated as fixity factors of the member. A formula for the force components at the ends of all the members of a frame is established. The matrix operations involved are conveniently performed by any digital computer, and problems ranging from rigid frames to pin-connected trusses can be solved by the same systematic approach. Several numerical examples are solved.
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Published In
Journal of the Structural Division
Volume 89 • Issue 6 • December 1963
Pages: 13 - 42
Copyright
© 1963 American Society of Civil Engineers.
History
Published in print: Dec 1963
Published online: Feb 1, 2021
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G. R. Monforton
Lecturer, Dept. of Civ. Engrg., Univ. of Windsor, Windsor, Ontario, Canada
T. S. Wu, AM.ASCE
Assoc. Prof. of Civ. Engrg., Univ. of Windsor, Windsor, Ontario, Canada
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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.