Force-Chain Superposition Method for Interface Force Conditions on the Cross Section of Parallel Steel Wire Strands
Publication: Journal of Structural Engineering
Volume 150, Issue 1
Abstract
The interface force condition on the cross section of parallel steel wire strands is an important basis for studying the longitudinal friction and slip behavior of wires. In this study, force-chain superposition was proposed to solve the transmission and distribution of transverse forces between parallel wires. The calculation rules for the basic parameters in the solution were determined, and a wire-drawing experiment was designed to verify their applicability. A two-dimensional discrete model corresponding to the cable cross section was established. According to the source and characteristics of the transverse load, the force system is decomposed into two directions to form two force chain analysis paths so that the model assumptions can be applied properly. A recursive algorithm was proposed to solve the two force chains, and symmetry conditions were applied at the coupling position to make the system self-consistent. The normal forces acting on the interface points were obtained by superimposing the results onto the two force chains and were verified against finite element analysis (FEA) results. A long-span cable-stayed bridge was considered as an example to investigate the interface force condition of its cables, based on which the approximate development length of the broken wires and the interface extrusion force of the multilayered beam model were established. The results indicate that the slight twisting of the parallel wire strands under the action of a large cable force provides 85% of the total interface forces, and the normal force is significantly concentrated in the central area of the cross section. The approximate development length of the central wire is only 25.9% of that of the outermost wire, and the minimum slip friction force between the layers accounts for only 21.2% of the maximum value for the multilayered beam model, confirming that the interface force condition has a significant impact on the longitudinal friction and slip behavior of cable wires.
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Data Availability Statement
The data that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The authors acknowledge the financial support from the National Natural Science Foundation of China (Grant Nos. 52178138 and 51908382), the Natural Science Foundation of Guangdong Province (Grant No. 2021A1515012064), the Guangdong Basic and Applied Basic Research Foundation (Grant No. 2020A1515110240), and the Innovation Research Group Project of the Natural Science Foundation of Hebei Province (E2022210078).
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Published In
Journal of Structural Engineering
Volume 150 • Issue 1 • January 2024
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Dec 13, 2022
Accepted: Sep 13, 2023
Published online: Nov 8, 2023
Published in print: Jan 1, 2024
Discussion open until: Apr 8, 2024
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