Research Article
Sep 1958
Analysis of Rigid Frames by Successive Replacement
Publication: Journal of the Structural Division
Volume 84, Issue 5
Abstract
An analytical method is developed for the calculation of moments at the supports or joints of rigid frames by replacing a portion of a structure with a member of its equivalent in stiffness or in rigidity. The derivation of formulas in this pape is based on the concept that when a member continuous over several supports or rigid joints is cut at any of its supports or joints the equilibrium of the two portions of the member is unaltered if the slope at the section is preserved. Thus either its left or its right portion can be replaced by any such torsion or flexure member that fulfills this requirements. This facilitates the transformation of a complicated plane or space frame into a much simpler type of plane structures for analysis.
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Information
Published In
Journal of the Structural Division
Volume 84 • Issue 5 • September 1958
Pages: 1761-1 - 1761-18
Copyright
© 1958 American Society of Civil Engineers.
History
Published in print: Sep 1958
Published online: Feb 1, 2021
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Authors
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Chen Loh-Kwan, M.ASCE
Lecturer, Civ. Eng. Dept., Univ. of Hong Kong, Hong Kong, China
Li Seung Ping, JM.ASCE
Demonstrator, Civ. Eng. Dept., Univ. of Hong Kong, Hong Kong, China
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