Discrete Field Stability Analysis of Planar Trusses
Publication: Journal of Structural Engineering
Volume 117, Issue 2
Abstract
The techniques of discrete field mechanics are used to perform an elastic stability analysis of planar X‐braced columns. Closed‐form analytical formulas are derived that are independent of the number of joints in the system; thus, the solution of large, simultaneous equations is avoided. The explicit formula derived is used to develop a series of curves showing the critical buckling load for various planar, X‐braced, truss configurations and geometries. A comparison of critical buckling loads for the X‐braced truss indicates that the modified Euler critical load may very up to 85% from the loads obtained by the discrete field analysis method. The study also shows that as the number of panels increases from four to 32, the buckling‐load ratios also increase. The X‐braced truss depth has a direct relationship to the shearing force, which in turn will affect the buckling load of the truss system. Variations in chord member areas create variations in buckling‐load ratios. The effects on the buckling ratios of the last two factors tend to diminish as the number of panels increases.
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References
1.
Avent, R. R., and Issa, R. R. A. (1981). “X‐braced truss stiffness matrix analysis of roofs.” Symp. Long Span Roof Trusses, ASCE, 149–178.
2.
Avent, R. R., and Issa, R. R. A. (1982). “Beam element stiffness matrix for X‐braced truss.” J. Struct. Div., ASCE, 108(10), 2192–2210.
3.
Bleich, F. (1952). Buckling strength of metal structures. 1st Ed., McGraw‐Hill Book Co., Inc., New York, N.Y.
4.
Dean, D. L. (1969). Discussion of “Behavior of Howe, Pratt, and Warren trusses” by John. D. Renton. J. Struct. Div., ASCE, 95(9), 1997–2000.
5.
Dean, D. L., (1976). “Discrete field analysis of structural systems.” CISM Lectures No. 203, Springer‐Verlag, New York, N.Y.
6.
Dean, D. L., and Jete, F. R. (1972). “Analysis for truss buckling.” J. Struct. Div., ASCE, 98(8), 1893–1897.
7.
Issa, R. R. A., and Avent, R. R. (1984). “Superelement stiffness matrix for space trusses,” J. Struct. Engrg., ASCE, 110(5), 1163–1179.
8.
Noor, A. K., and Weistein, L. S. (1981). “Stability analysis of beamlike lattice trusses.” Computer Meth. in Appl. Mech. and Engrg., 25(2), 179–193.
9.
Renton, J. D. (1973). “Buckling of long, regular trusses.” Int. J. Solids and Struct., 9(12), 1498–1500.
10.
Timonshenko, S., and Gere, J. M. (1961). Theory of elastic stability. 2nd Ed., McGraw‐Hill Book Co., Inc., New York, N.Y., 144–149.
Information & Authors
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Published In
Journal of Structural Engineering
Volume 117 • Issue 2 • February 1991
Pages: 423 - 439
Copyright
Copyright © 1991 ASCE.
History
Published online: Feb 1, 1991
Published in print: Feb 1991
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