Research Article
Jan 1958
Truss Analysis by Stiffness Considerations
Publication: Transactions of the American Society of Civil Engineers
Volume 123, Issue 1
Abstract
A general method of analysis, which is particularly advantageous for redundant structures, is developed for pin-connected trusses. The proposed method enables deflections, member forces, and reactions for any arbitrary set of applied loads to be determined.
It is shown that equilibrium and continuity requirement s can be satisfied by use of a simple tabular procedure for writing the stiffness matrix of the entire structure. This is the principal task of the analyst and is sufficiently simple to be performed by nonengineering personnel. No extra complications arise from the subsequent introduction of additional redundant members or reactions. Once the table representing the stiffness of the structure has been obtained, the complete solution follows from numerical computation. This computation can be performed with a slide rule, desk calculator, or digital computer.
Changes in design are accounted for by locally correcting the stiffness matrix. Changes in external forces do not affect the analysis. Any determinate or indeterminate structure may be solved by the suggested method. The basic procedure is explained and then applied to several examples.
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Published In
Transactions of the American Society of Civil Engineers
Volume 123 • Issue 1 • January 1958
Pages: 1182 - 1194
Copyright
© 1958 American Society of Civil Engineers.
History
Published in print: Jan 1958
Published online: Feb 10, 2021
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Authors
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Harold C. Martin
Prof. and Chairman, Dept. of Aeronautical Eng., Univ. of Washington, Seattle, Wash.; Structural Dynamics Unit, Boeing Airplane Co., Seattle Div., Seattle, Wash.
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