Vibration-Based Estimation of Tension Stress in Steel Eyebars
Publication: Journal of Structural Engineering
Volume 142, Issue 12
Abstract
To support the repair and maintenance of steel eyebars in bridges, tension stresses are sometimes estimated from the observed member natural frequencies. Although the ends of such eyebars are often essentially fixed, a pin-ended model has typically been used to predict tensions because closed-form solutions do not exist for any other end conditions. An approximation that reflects vibrating stretched wires with fixed ends has also been used, but this still incurs considerable error at lower member slenderness and stress levels. To provide for better estimates of eyebar tensions from observed vibrations, this paper presents exact tabular solutions for determining the direct tension stress in undamped steel bars, generalized for any length or thickness, where both ends of the member are fixed or where one end is fixed and the other pinned. Approximation equations derived from these exact solutions are also developed. Examples demonstrate the application of these new tools and the potential increase in accuracy over the former methods.
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References
AREA (American Railway Engineering Association). (1946). “The shortening of eyebars to equalize the stress.”, Chicago, 969–986.
AREMA (American Railway Engineering and Maintenance-of-Way Association). (2015). “Section 8.2: Method of shortening of eyebars to equalize the stress.” Lanham, MD.
Bokaian, A. (1990). “Natural frequencies of beams under tensile axial loads.” J. Sound Vibr., 142(3), 481–498.
Liu, X. Q., Ertekin, R. C., and Riggs, H. R. (1996). “Vibration of a free-free beam under tensile axial loads.” J. Sound Vibr., 190(2), 273–282.
Main, J. A., and Jones, N. P. (2007). “Vibration of tensioned beams with intermediate damper. I: Formulation, influence of damper location.” J. Eng. Mech., 369–378.
Mazurek, D. F. (2011). “Measuring dead load stress of eyebars in steel railroad bridges.” Proc., 2011 AREMA Annual Conf., American Railway Engineering and Maintenance-of-Way Association, Lanham, MD.
Rayleigh, J. W. S. (1944). The theory of sound, Macmillan, London.
Timoshenko, S., and MacCullough, G. H. (1962). Elements of strength of materials, Van Nostrand, New York.
Timoshenko, S., Young, D. H., and Weaver, W. (1974). Vibration problems in engineering, Wiley, New York.
Ulstrup, C. C. (1978). “Natural frequencies of axially loaded bridge members.” J. Struct. Eng., 104(2), 357–364.
Wittrick, W. H. (1986). “On the vibration of stretched strings with clamped ends and nonzero flexural rigidity.” J. Sound Vibr., 110(1), 79–85.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 142 • Issue 12 • December 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Oct 2, 2015
Accepted: May 23, 2016
Published online: Jul 11, 2016
Published in print: Dec 1, 2016
Discussion open until: Dec 11, 2016
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