Nonlinear Analytical Solution for Cable Truss
Publication: Journal of Engineering Mechanics
Volume 132, Issue 1
Abstract
In this technical note the nonlinear closed-form static solution of the suspended biconvex and biconcave cable trusses with unmovable, movable, or elastic yielding supports subjected to vertical distributed load applied over the entire span is presented. Irvine’s linearized forms of the deflection and the cable equations are modified because the effects of the nonlinear truss behavior needed to be incorporated in them. The concrete form of the system of two nonlinear cubic cable equations is derived and presented. From a solution of a nonlinear vertical equilibrium equation for a loaded cable truss, the additional vertical deflection is determined. The transformation analytical model serves to determine the response, i.e., horizontal components of cable forces and deflection of the geometrically nonlinear truss, due to the applied loading, considering effects of elastic deformations, temperature changes, and elastic supports. The deflection of asymmetric prestressed cable trusses has been compared with Irvine’s linear solution as well as the nonlinear finite element model results.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This work is a part of Research Project No. UNSPECIFIED1/0357/03, partially founded by the Scientific Grant Agency of the Ministry of Education of Slovak Republic and the Slovak Academy of Sciences.
References
Buchholdt, H. A. (1999). Introduction to cable roof structures, 2nd Ed., Thomas Telford Ltd., London.
COSMOS/M user’s manual, version Geostar 2.8. (2002). Structural Research Analysis Centre, Los Angeles.
Gasparini, D., and Gautam, V. (2002). “Geometrically nonlinear static behavior of cable structures.” J. Struct. Eng., 128(10), 1317–1329.
Irvine, H. M. (1981). Cable structures, MIT Press, Cambridge, Mass.
Kanno, Y., Ohsaki, M., and Ito, J. (2002). “Large-deformation and friction analysis of non-linear elastic cable networks by second-order cone programming.” Int. J. Numer. Methods Eng., 55(9), 1079–1114.
Kassimali, A., and Parsi-Feraidoonian, H. (1987). “Strength of cable trusses under combined loads.” J. Struct. Eng., 113(5), 907–924.
Krishna, P., Gupta, V. K., Ahuja, A. K., and Mittal, A. K. (1982). “Performance of cable trusses under static loads.” J. Struct. Div. ASCE, 108(1), 265–282.
Møllmann, H. (1974). Analysis of hanging roofs by the displacement method, Chap. 5, Polyteknisk Forlag, Lyngby, Denmark.
Moskalev, N. S. (1980). Constructions of suspension roofs, Strojizdat, Moskva, Russia (in Russian).
Rakowski, J. (1983). “Contribution on nonlinear solution of cable systems.” Bauingenieur, 58(2), 57–65 (in German).
Schleyer, F. K. (1969). Tensile structures, Vol. 2, Chap. 4, MIT Press, Cambridge, Mass.
Talvik, I. (2001). “Finite element modelling of cable networks with flexible supports.” Comput. Struct. 79(26–28), 2443–2450.
Urelius, D. E., and Fowler, D. W. (1974). “Behaviour of prestressed cable truss structures.” J. Struct. Div. ASCE, 100(8), 1627–1641.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 132 • Issue 1 • January 2006
Pages: 119 - 123
Copyright
© 2006 ASCE.
History
Received: Mar 29, 2004
Accepted: Mar 22, 2005
Published online: Jan 1, 2006
Published in print: Jan 2006
Notes
Note. Associate Editor: Ronald Y. S. Pak
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.