Tangent Geometric Stiffness of Inclined Cables Under Self-Weight
Publication: Journal of Structural Engineering
Volume 131, Issue 6
Abstract
An exact formula is derived for the tangent geometric stiffness of inclined cables under self-weight. Comparisons are made with the well-known approximate formula by Ernst. It is found that the accuracy of Ernst’s formula deteriorates with increasing cable slackness and inclination. The error can be significant for certain configurations of the cable that are commonly used in such structures as cable-stayed bridges, guyed towers, electric transmission lines, and conductor cables connecting electrical substation equipment. An accurate and simple approximate formula is developed, which is applicable to a wide range of parameter values.
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Acknowledgments
This study was supported primarily by the Pacific Gas & Electric Company and the California Energy Commission through a grant to the Pacific Earthquake Engineering Research Center. Partial support was also provided by the Earthquake Engineering Research Centers Program of the National Science Foundation under Award No. UNSPECIFIEDEEC-9701568. The writers wish to thank an anonymous reviewer of an earlier paper who brought Ernst’s formula to their attention, and the reviewers of this paper, who helped them improve the paper by pointing out certain omissions and important earlier work they had missed.
References
Ernst, H.-J. (1965). “Der -modul von seilen unter berucksichtigung des durchhanges.” Bauingenieur, 40(2), 52–55.
Gimsing, N. J. (1997). Cable supported bridges, 2nd Ed., Wiley, New York.
Goto, S. (1978). “Tangent stiffness equation of flexible cable and some considerations.” Proc., JSCE, 270, 41–49 (in Japanese).
Irvine, H. M. (1981). Cable structures, MIT University Press, Cambridge, Mass.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 131 • Issue 6 • June 2005
Pages: 941 - 945
Copyright
© 2005 ASCE.
History
Received: May 18, 2001
Accepted: Oct 28, 2004
Published online: Jun 1, 2005
Published in print: Jun 2005
Notes
Note. Associate Editor: Marc I. Hoit
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