Research Article
Jan 1937
Simultaneous Equations in Mechanics Solved by Iteration
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VIEW THE REPLYPublication: Transactions of the American Society of Civil Engineers
Volume 102, Issue 1
Abstract
Iteration (meaning “repetition”) stands for the process of successive approximations applied to the solution of simultaneous equations. A set of simultaneous equations may be characterized by a single equation such as, for instance, the well known equation of three moments for a continuous beam. Such an equation, with given boundary values, is easily solved by elimination or by determinants when the number of unknowns is small, say, eight or less, but requires less unwieldy methods when the number of unknowns is greater than eight.
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© 1937 American Society of Civil Engineers.
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Published in print: Jan 1937
Published online: Feb 10, 2021
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W. L. Schwalbe
Asst. Prof. of Theoretical and Applied Mechanics, Univ. of Illinois, Urbana, Ill.
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