Estimation of Tension in Cables with Intermediate Elastic Supports Using Finite-Element Method
Publication: Journal of Bridge Engineering
Volume 16, Issue 5
Abstract
Cables with intermediate elastic supports are widely used in bridge engineering, but there is a lack of effective methods for estimating the tensions in these cables. In this paper, an analytical form of the equilibrium equation for a tension bar has been used to provide a shape function to develop a suitable finite-element model for a cable. A program for estimating the tension in cables with intermediate elastic supports has been developed in which the bending stiffness of the cable, the stiffness of the end restraints, and the stiffness of the intermediate supports are taken into account by using this element and MATLAB. The program has been verified by comparison of the results from laboratory experiments. The method has been applied to compute the tension in the tie bars of a concrete-filled steel tube arch bridge. This demonstrates that the cable tension estimated by the present method is suitably accurate.
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Acknowledgments
Support from the Natural Science Foundation of China (NSFC) under Grant No. NSFC50978105 and the Science & Technology Project of the Guangdong Transportation Department under Grant No. UNSPECIFIED2009-02-21 is gratefully acknowledged.
References
Humar, J. L. (1990). Dynamics of structures, Prentice Hall, Englewood Cliffs, NJ.
Irvine, H. M. (1981). Cable structures, MIT Press, Cambridge, MA.
Kim, B. H., and Park, T. (2007). “Estimation of cable tension force using the frequency-based system identification method.” J. Sound Vib., 304(3-5), 660–676.
Krenk, S. (2001). Mechanics and analysis of beams, columns and cables, 2nd Ed., Springer, New York.
Main, J. A., and Jones, N. P. (2007a). “Vibration of tensioned beams with intermediate damper. I: Formulation, influence of damper location.” J. Eng. Mech., 133(4), 369–378.
Main, J. A., and Jones, N. P. (2007b). “Vibration of tensioned beams with intermediate damper. II: Damper near a support.” J. Eng. Mech., 133(4), 379–388.
Ren, W. X., Chen, G., and Hu, W. H. (2005). “Empirical formulas to estimate cable tension by cable fundamental frequency.” Struct. Eng. Mech., 20(3), 363–380.
Skallerud, B., and Amdahl, J. (2002). Nonlinear analysis of offshore structures, Research Studies Press, Baldock, Hertfordshire, England.
Zui, H., Shinke, T., and Namita, Y. (1996). “Practical formulas for estimation of cable tension by vibration method.” J. Struct. Eng., 122(6), 651–656.
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© 2011 American Society of Civil Engineers.
History
Received: Jan 7, 2010
Accepted: Oct 9, 2010
Published online: Oct 19, 2010
Published in print: Sep 1, 2011
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