TECHNICAL PAPERS
May 1, 1984

Superelement Stiffness Matrix for Space Trusses

Publication: Journal of Structural Engineering
Volume 110, Issue 5

Abstract

The techniques of discrete field analysis are used to analyze a class of longitudinally oriented space trusses. These trusses consist of three planar trusses which make up the faces of the space truss and are combined to form a triangular cross section with common chords. Three types of configurations are considered: (1) X‐braced; (2) Warren (with verticals); and (3) Vierendeel. The approach used here is to treat a truss segment having regular repetitive properties over an arbitrary number of panels as a superelement. Difference equations for each of the three truss configurations are derived and deflections found using finite fourier series. Based on these solution forms, stiffness coefficients are derived. The results are exact in the classical sense and enables a space truss with a large number of joints to be accurately reduced to a single member defined by beam type stiffness coefficients. This superelement can be used in conjunction with other elements to analyze complex truss systems such as guyed towers and space truss roof systems.

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References

1.
Avent, R. R., “Deflection and Ponding of Steel Joists,” Journal of the Structural Division, ASCE, Vol. 102, No. ST7, Paper 12241, July, 1976, pp. 1399–1410.
2.
Avent, R. R., and Issa, Raja, R. A., “X‐Braced Truss Stiffness Matrix Analysis of Roofs,” Symposium on Long Span Roof Structures, ASCE National Convention, St. Louis, Mo., Oct., 1981.
3.
Avent, R. R., and Issa, Raja, R. A., “Beam Element Stiffness Matrix for Xbraced Truss,” Journal of Structural Division, ASCE, Vol. 108, No. ST10, Oct., 1982, pp. 2191–2210.
4.
Dean, D. L., “Analysis of Curved Lattices with Generalized Joint Loadings,” Publications, International Association for Bridge and Structural Engineering, Vol. 20, 1960, pp. 43–74.
5.
Dean, D. L., discussion of “Behavior of Howe, Pratt, and Warren Trusses” (by John D. Renton), Journal of the Structural Division, ASCE, Sept., 1969, pp. 1997–2000.
6.
Dean, D. L., and Avent, R. R., “Design Formulas for Deep Space Trusses,” Proceeding IASS World Congress on Space Enclosures, Building Research Center, Concordia University, Montreal, Canada, July, 1976.
7.
Kardestuncer, H., Elementary Matrix Analysis of Structures, McGraw‐Hill Book Company, New York, N.Y., 1974.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 110Issue 5May 1984
Pages: 1163 - 1179

History

Published online: May 1, 1984
Published in print: May 1984

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Raja R. A. Issa, A. M. ASCE
Former Grad. Asst., Mississippi State Univ., Mississippi State, Miss.
R. Richard Avent, M. ASCE
Prof. of Civ. Engrg., Louisiana State Univ., Baton Rouge, La.

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