TECHNICAL PAPERS
Feb 1, 2005

Using Rotations to Obtain Compatibility Equations for Statically Indeterminate Trusses

Publication: Journal of Structural Engineering
Volume 131, Issue 2

Abstract

This paper presents a new way of determining the compatibility conditions for statically indeterminate trusses. It is based on equations relating the angular displacements (rotations) of truss elements to the corresponding extensions obtained by requiring the displacements of the truss structure to be compatible, i.e., single valued. This new angular displacement method is likely to be most advantageous for planar trusses, but less likely so for three-dimensional structures.

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References

Charlton, T. M. (1982). A history of theory of structures in the nineteenth century, Cambridge University Press, Cambridge, U.K.
Dym, C. L. (1997). Structural modeling and analysis, Cambridge University Press, New York.
Levy, M. (1886). La statique graphique et ses applications aux constructions, Part 2, Gauthier-Villars, Paris.
Martin, H. C. (1966). Introduction to matrix methods of structural analysis, McGraw–Hill, New York.
Pellegrino, S. (1990). “Analysis of prestressed mechanisms.” Int. J. Solids Struct., 26(12), 1329–1350.
Pellegrino, S., and Calladine, C. R. (1986). “Matrix analysis of statically and kinematically indeterminate frameworks.” Int. J. Solids Struct., 22(4), 409–428.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 131Issue 2February 2005
Pages: 353 - 358

History

Received: Aug 20, 2003
Accepted: Apr 27, 2004
Published online: Feb 1, 2005
Published in print: Feb 2005

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Notes

Note. Associate Editor: Marc I. Hoit

Authors

Affiliations

Harry E. Williams harry̱[email protected]
Professor Emeritus, Dept. of Engineering, Harvey Mudd College, Claremont, CA 91711. E-mail: harry̱[email protected]
Clive L. Dym, F.ASCE clive̱[email protected]
P.E.
Fletcher Jones Professor of Engineering Design, Dept. of Engineering, Harvey Mudd College, Claremont, CA 91711. E-mail: clive̱[email protected]

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