Research Article
Jan 1947
Matrix Analysis of Continuous Beams
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VIEW THE REPLYPublication: Transactions of the American Society of Civil Engineers
Volume 112, Issue 1
Abstract
An introduction to the use of matrix algebra. in the development and explanation of various methods of structural analysis is presented in this paper. The possibilities of making rapid design calculations by matrix methods are also illustrated. The paper is divided into four parts: In the first part an explanation is given of the elementary operations of addition, subtraction, multiplication, and division of matrices; in the second part a general formula is derived for the solution of any continuous beam (on unyielding supports) in matrix notation; in the third part the moment distribution process is developed by matrix algebra; and in the fourth part two successive correction methods of computation which may be regarded as variations of the method of moment distribution are illustrated and discussed.
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© 1947 American Society of Civil Engineers.
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Published in print: Jan 1947
Published online: Feb 10, 2021
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Stanley U. Benscoter, AM.ASCE
Aeronautical Engr., Bureau of Aeronautics, Washington, D. C.
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