Abstract
This paper presents analysis of cables’ tension of steel cable-stayed footbridge using their field-test natural frequencies. A vibration method is usually used for the measured cable tension during the construction of cable systems stiffened with inclined cables. Practical formulas for the vibration method applied herein, mainly based on cable-sag and vertical angle effects (a survey measurement), have been verified on the one-tower steel cable-stayed bridge. The bridge is situated in Sieradz (Poland) and it was the structure with the longest span concerning all the cable-stayed bridges in Poland until 1999. The obtained cable axial forces for estimated natural frequencies of low- and high-order modes are verified using FEM models. The final conclusions drawn on the basis of conducted studies can be useful for technical diagnosis, monitoring programs and repair works of similar class of cable-stayed bridges.
Highlights
A knowledge of cable tensions is very important concerning suitable geometry of the cablestayed bridges and it allows to create their detailed calculation models [1]
According horizontal cable configuration with relatively small sag the cable tension F we can obtain from well known formula F = AUL2f2/g (A - cross section area, U - material density, L - length, f – natural frequency, g - gravitational acceleration) applicable for firstorder mode only, but the result may be burden with error concerning longer tendons [2]
Called vibration method proposed by Zui, Shinke and Namita [3] is briefly described with unification of practical formulas, and applied to the results of natural frequencies obtained from the measurement conducted on a cable-stayed pedestrian bridge in Sieradz (Poland) and the accuracy is confirmed using FEM models [4]
Summary
A knowledge of cable tensions is very important concerning suitable geometry of the cablestayed bridges and it allows to create their detailed calculation models [1]. According horizontal cable configuration with relatively small sag the cable tension F we can obtain from well known formula F = AUL2f2/g (A - cross section area, U - material density, L - length, f – natural frequency, g - gravitational acceleration) applicable for firstorder mode only, but the result may be burden with error concerning longer tendons [2]. Considering the very slender tendons, i.e. those that are the structural members in the cable-stayed bridges for instance is difficult to excite the cable artificially to first or secondorder mode oscillation. In this case, one should use the results obtained from stationary vibrations, in which modes of high order are usually dominant. Called vibration method proposed by Zui, Shinke and Namita [3] is briefly described with unification of practical formulas, and applied to the results of natural frequencies obtained from the measurement conducted on a cable-stayed pedestrian bridge in Sieradz (Poland) and the accuracy is confirmed using FEM models [4]
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