Research Article
Apr 1963

Analysis of Rigid Frames by Difference Equations

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Publication: Journal of the Structural Division
Volume 89, Issue 2

Abstract

An ideal, symmetrical, three-span, multi-story frame illustrates the applicability of the finite difference equation to structural problems with more than one set of unknowns. The mathematical solution of the latter is evaluated and generalized to m-span, multi-story frames. Empirical rules are developed for stress and deflection analysis of a general category of irregular building frames that will fit most practical cases. Several examples show the magnitude of error as compared to exact solutions. A procedure of successive approximation by correcting joint rotations insures against unforeseen conditions.

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Journal of the Structural Division
Volume 89Issue 2April 1963
Pages: 127 - 159

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Published in print: Apr 1963
Published online: Feb 1, 2021

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Hsien-San Tsang, M.ASCE
Senior Engr., Bechtel Corp., San Francisco, Calif.

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