Effect of Wrapping Force on the Effective Stiffness of Packed Parallel Wire Cables with Elastoplastic Contacts
Publication: Journal of Engineering Mechanics
Volume 150, Issue 10
Abstract
When cables use many wires packed in a hexagonal pattern wrapped by bands around the surface, effective stiffness plays an important role in structural integrity and safety. This paper studies cylindrical wires packed in a hexagonal lattice tightened up by wrapping bands. When a transverse load is applied, the stress transferred through the contacts between the wires can be represented by a center-center force network with the Hertz contact theory. When yielding is considered in the contact zone, an elastoplastic contact model is developed. The Singum model simulates the singular forces by the stress between continuum particles. The effective stress-strain relationship changes with the stress of the wrapping bands and exhibits isotropic behavior in the cross section. Therefore, the overall elastic behavior of the cable is transversely isotropic with a tailorable stiffness in the cross section by the wrapping force. This method is general for mechanical modeling of packed parallel wire cables, and its application to bridge cable testing and repair with development length prediction is underway.
Practical Applications
This study introduces a novel approach, the Singum model, for analyzing the overall mechanical properties of packed wire cables, which are crucial for ensuring structural integrity and safety in various engineering applications. By investigating the effective transverse stiffness of packed wire cables through a combination of theoretical modeling, finite element analysis (FEM), and experimental tests, this research provides valuable insights into optimizing cable design and performance across diverse engineering applications such as cable domes, electric transmission lines, tramways, cable-stayed bridges, and suspension bridges. The findings highlight the significant impact of wrapping force on the effective stiffness of packed cylinders, offering engineers a means to tailor the stiffness of cable cross sections for specific requirements in these applications. This study provides a robust framework for advancing the understanding and optimization of packed wire cable systems in engineering practice with reasonable assumptions and simplifications, which can be tailored for specific materials or applications.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The authors thank Dr. Steve “Seonghyeok” Song for the fruitful discussion about the bridge cable inspection and repair. This work is sponsored by the National Science Foundation IIP No. 1738802, IIP No. 1941244, CMMI No. 1762891, and US Department of Agriculture NIFA #2021-67021-34201, whose support is gratefully acknowledged. We thank Dr. Liming Li, Dr. Will Hunnicutt, and Mr. James Basirico for their help with the experiments.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 150 • Issue 10 • October 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Dec 4, 2023
Accepted: May 7, 2024
Published online: Jul 23, 2024
Published in print: Oct 1, 2024
Discussion open until: Dec 23, 2024
ASCE Technical Topics:
- Bridge engineering
- Bridges
- Bridges (by type)
- Cable stayed bridges
- Cables
- Continuum mechanics
- Deformation (mechanics)
- Design (by type)
- Elastoplasticity
- Engineering fundamentals
- Engineering mechanics
- Equipment and machinery
- Hysteresis
- Isotropy
- Material mechanics
- Material properties
- Materials characterization
- Materials engineering
- Rheology
- Solid mechanics
- Stiffening
- Strain
- Stress (by type)
- Stress strain relations
- Structural analysis
- Structural behavior
- Structural design
- Structural engineering
- Structural mechanics
- Structural safety
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