Analysis of Symmetrical Wires Breaking in Unbonded Prestressed Steel Strand Considering Bending Deformation
Publication: Journal of Bridge Engineering
Volume 28, Issue 1
Abstract
To more accurately describe the mechanical behavior of prestressed steel strands with symmetrical wires breaking in unbonded post-tensioned concrete beam, this paper establishes the equilibrium equation after the bending deformation of the broken wire, taking into consideration bending deformation of the broken wires and the friction between wires and duct. The results derived from this equation fit well with the experimental data. The increase of friction between the center and outer wire and the friction between the broken wire and duct can reduce the recovery length and the strain ratio of the unbroken wire within the recovery length. The increase of axial force before wires breaking will increase the recovery length and the strain ratio of the unbroken wire within the recovery length. The rise in the number of broken wires can reduce the strain the broken wire fully recovers to and recovery length and increase the strain ratio of unbroken wires within the recovery length. In addition, we find that the stress of the unbroken wires near the breaking end becomes greater after symmetrical wires breaking, which is harmful to the structural safety. If there is corrosion in the unbroken wires near the breaking ends, these wires are likely to break immediately following the symmetrically broken wires.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
References
Abdel-Jaber, H., and B. Glisic. 2019. “Monitoring of prestressing forces in prestressed concrete structures—An overview.” Struct. Control Health Monit. 26 (8): e2374. https://doi.org/10.1002/stc.2374.
Abdullah, A. B. M., J. A. Rice, H. R. Hamilton, and G. R. Consolazio. 2016a. “Experimental and numerical evaluation of unbonded posttensioning tendons subjected to wire breaks.” J. Bridge Eng. 21 (10): 04016066. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000940.
Abdullah, A. B. M., J. A. Rice, H. R. Hamilton, and G. R. Consolazio. 2016b. “An investigation on stressing and breakage response of a prestressing strand using an efficient finite element model.” Eng. Struct. 123: 213–224. https://doi.org/10.1016/j.engstruct.2016.05.030.
Beltrán, J. F., and T. Bravo. 2020. “Evaluation of the coupled effect of strain localization and asymmetric damage distribution on rope response: Numerical approach based on a nonlinear cable-beam element.” Eng. Struct. 207: 110258. https://doi.org/10.1016/j.engstruct.2020.110258.
Beltrán, J. F., N. Ramirez, and E. Williamson. 2017. “Simplified analysis of the influence of strain localization and asymmetric damage distribution on static damaged polyester rope behavior.” Ocean Eng. 145: 237–249. https://doi.org/10.1016/j.oceaneng.2017.09.006.
Beltrán, J. F., and D. Vargas. 2012. “Effect of broken rope components distribution throughout rope cross-section on polyester rope response: Numerical approach.” Int. J. Mech. Sci. 64 (1): 32–46. https://doi.org/10.1016/j.ijmecsci.2012.08.005.
Campione, G. 2021. “Simplified model of PC concrete beams with corroded strands in highway viaduct: Case study and analytical modeling.” J. Perform. Constr. Facil 35 (5): 04021069. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001639.
Chien, C.-H., and G. A. Costello. 1985. “Effective length of a fractured wire in wire rope.” J. Eng. Mech. 111 (7): 952–961. https://doi.org/10.1061/(ASCE)0733-9399(1985)111:7(952).
Ghoreishi, S. R., T. Messager, P. Cartraud, and P. Davies. 2007. “Validity and limitations of linear analytical models for steel wire strands under axial loading, using a 3D FE model.” Int. J. Mech. Sci. 49 (11): 1251–1261. https://doi.org/10.1016/j.ijmecsci.2007.03.014.
Gjelsvik, A. 1991. “Development length for single wire in suspension bridge cable.” J. Struct. Eng. 117 (4): 1189–1200. https://doi.org/10.1061/(ASCE)0733-9445(1991)117:4(1189).
Li, H., J. Ou, and Z. Zhou. 2009. “Applications of optical fibre Bragg gratings sensing technology-based smart stay cables.” Opt. Lasers Eng. 47 (10): 1077–1084. https://doi.org/10.1016/j.optlaseng.2009.04.016.
Lin, T. Y., and N. H. Burns. 1981. Design of prestressed concrete bridges. New York: Wiley.
MacDougall, C., and F. M. Bartlett. 2005. “Mechanical model for unbonded seven-wire tendon with symmetric wire breaks.” J. Eng. Mech. 131 (12): 1239–1247. https://doi.org/10.1061/(ASCE)0733-9399(2005)131:12(1239).
MacDougall, C., and F. M. Bartlett. 2006. “Mechanical model for unbonded seven-wire tendon with single broken wire.” J. Eng. Mech. 132 (12): 1345–1353. https://doi.org/10.1061/(ASCE)0733-9399(2006)132:12(1345).
MacDougall, C., and S. Li. 2007. “Determining broken wires in unbonded seven-wire strands using penetration tests.” PCI J. 52 (5): 96–104. https://doi.org/10.15554/pcij.09012007.96.104.
MacDougall, C. C. 2001. Behaviour of monostrand tendons with broken wires. London, Ontario, Canada: The University of Western Ontario (Canada).
Machida, S., and A. J. Durelli. 1973. “Response of a strand to axial and torsional displacements.” J. Mech. Eng. Sci. 15 (4): 241–251. https://doi.org/10.1243/JMES_JOUR_1973_015_045_02.
Minaei, A., F. Daneshjoo, and J. M. Goicolea. 2020. “Experimental and numerical study on cable breakage equivalent force in cable-stayed structures consisting of low-relaxation seven-wire steel strands.” Structures 27: 595–606. https://doi.org/10.1016/j.istruc.2020.05.028.
Nazarian, E., F. Ansari, X. Zhang, and T. Taylor. 2016. “Detection of tension loss in cables of cable-stayed bridges by distributed monitoring of bridge deck strains.” J. Struct. Eng. 142 (6): 04016018. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001463.
Pape, T. M., and Melchers, R. E. (2008). “Investigating the effects of corrosion on 45-year-old prestressed concrete bridge beams.” In Life-cycle civil engineering, edited by Fabio Biondini, Dan Frangopol, 421. London: CRC Press.
Raoof, M., and Y. P. Huang. 1991. “Upper-bound prediction of cable damping under cyclic bending.” J. Eng. Mech. 117 (12): 2729–2747. https://doi.org/10.1061/(ASCE)0733-9399(1991)117:12(2729).
Sprinkel, M. M., and S. S. G. Balakumaran. 2017. “Problems with continuous spliced posttensioned-prestressed concrete Bulb-Tee girder center spans at West Point, Virginia.” Transp. Res. Rec. 2642: 46–54. https://doi.org/10.3141/2642-06.
Sun, H., J. Xu, W. Chen, and J. Yang. 2018. “Time-dependent effect of corrosion on the mechanical characteristics of stay cable.” J. Bridge Eng. 23 (5): 04018019. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001229.
Utting, W. S., and N. Jones. 1984. “Survey of literature on the behaviour of wire ropes.” Wire Ind. 51 (609): 623–629.
Utting, W. S., and N. Jones. 1987a. “The response of wire rope strands to axial tensile loads—Part I. Experimental results and theoretical predictions.” Int. J. Mech. Sci. 29 (9): 605–619. https://doi.org/10.1016/0020-7403(87)90033-6.
Utting, W. S., and N. Jones. 1987b. “The response of wire rope strands to axial tensile loads—Part II. Comparison of experimental results and theoretical predictions.” Int. J. Mech. Sci. 29 (9): 621–636. https://doi.org/10.1016/0020-7403(87)90034-8.
Utting, W. S., and N. Jones. 1987c. “Wire tensions and bending moments in axially loaded seven wire strand.” Strain 23 (3): 109–116. https://doi.org/10.1111/j.1475-1305.1987.tb00629.x.
Utting, W. S., and N. Jones. 1988. “Axial–torsional interactions and wire deformation in 19-wire spiral strand.” J. Strain Anal. Eng. Des. 23 (2): 79–86. https://doi.org/10.1243/03093247V232079.
Xu, J., H. Sun, and S. Cai. 2019. “Effect of symmetrical broken wires damage on mechanical characteristics of stay cable.” J. Sound Vib. 461: 114920. https://doi.org/10.1016/j.jsv.2019.114920.
Yu, Y., Z. Chen, and H. Liu. 2017. “Advanced approaches to calculate recovery length and force redistribution in semi-parallel wire cables with broken wires.” Eng. Struct. 131: 44–56. https://doi.org/10.1016/j.engstruct.2016.10.017.
Information & Authors
Information
Published In
Journal of Bridge Engineering
Volume 28 • Issue 1 • January 2023
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Mar 18, 2022
Accepted: Aug 7, 2022
Published online: Oct 21, 2022
Published in print: Jan 1, 2023
Discussion open until: Mar 21, 2023
ASCE Technical Topics:
- Axial forces
- Beams
- Bending (structural)
- Continuum mechanics
- Deformation (mechanics)
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering mechanics
- Forces (type)
- Friction
- Material mechanics
- Materials engineering
- Materials processing
- Mathematics
- Prestressing
- Solid mechanics
- Steel beams
- Strain
- Structural dynamics
- Structural engineering
- Structural mechanics
- Structural members
- Structural systems
- Symmetry
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