Short-Term Performance of New Composite Anchorage with Multiple CFRP Tendons
Publication: Journal of Composites for Construction
Volume 27, Issue 2
Abstract
The relatively low shear strength of carbon fiber-reinforced polymers (CFRPs) makes it difficult to anchor CFRP tendons. Although many anchorages with CFRP tendons have been developed, few studies have been conducted on composite anchorages with multi-CFRP tendons. In this study, four groups of new mechanical clamping–bonding composite anchorages with multi-CFRP tendons were designed, and the stress of each component of the anchorage was analyzed to reveal the force transmission mechanism of the anchorage. Moreover, the short-term performance of the anchorages was experimentally investigated. The key parameters, including the elastic modulus of the bonding medium, preloading force, cone angle, and bond length, were further analyzed using the finite-element method. The results showed that the composite anchorage reliably anchored multiple CFRP tendons, and the efficiency coefficients of the four anchorages were greater than 0.95. The suggested minimum bond length was approximately 35 times the diameter of the CFRP tendon when anchoring fewer than five tendons. Finally, a sufficient preloading force could effectively reduce the initial slip, whereas increasing the cone angle and elastic modulus could reduce the final slip.
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Acknowledgments
The authors express their gratitude for the financial support provided by the China National Key Research and Development (No. 2021YFB2601000) and the National Natural Science Foundation of China (No. 51778059).
Notation
The following symbols are used in this paper:
- Apk
- effective cross-sectional area of single CFRP tendon;
- a
- inner radius of the cylinder;
- b
- outer radius of the cylinder;
- D0
- outer diameter of the steel sleeve;
- D1
- inner diameter of the steel sleeve at free end;
- D2
- outer diameter of the aluminum tube at free end;
- D1(x)
- inner diameter of the steel sleeve at any longitudinal position;
- D2(x)
- inner diameter of the clamps at any longitudinal position;
- E
- elastic modulus of the cylinder;
- Eb
- elastic modulus of the steel sleeve;
- Fptk
- theoretical ultimate tensile strength of the anchorage;
- F1
- radial pressure at Interface I;
- F2
- radial pressure at Interface II;
- fptk
- tensile strength of a single CFRP tendon;
- f2
- friction force at Interface II;
- l
- displacement of the clamp along the x-axis under preloading force and external loads;
- n
- number of CFRP tendons in the anchorage;
- q
- internal pressure of the thick-walled cylinder;
- r
- distance from a point on the cylinder cross section to the center of the section;
- u
- radial displacement from a point on the cylinder cross section to the center of the section;
- ν
- Poisson’s ratio of the cylinder;
- νb
- Poisson’s ratio of the steel sleeve;
- α
- cone angle of the outer surface of the aluminum tube;
- β
- cone angle of the outer surface of the steel clamps;
- Δb(x)
- radial displacement of the steel sleeve at any point in the x-axis;
- Δg(x)
- total radial displacement of the aluminum tube, bonding medium, and CFRP tendons;
- δ2
- longitudinal slip of the aluminum tube relative to the clamps;
- circumferential strain from a point on the cylinder cross section to the center of the section;
- circumferential strain at the outer surface of the steel sleeve;
- ηa
- anchoring efficiency coefficient of the anchorage;
- μ2
- friction coefficient between the clamps and the aluminum tube;
- σ1(x)
- radial uniform compressive stress at Interface I; and
- σ2(x)
- radial uniform compressive stress at Interface II.
References
Ai, P., P. Feng, H. Liu, P. Zhu, and G. Ding. 2021. “Novel self-anchored CFRP cable system: Concept and anchorage behavior.” Compos. Struct. 263 (2): 113736. https://doi.org/10.1016/j.compstruct.2021.113736.
Al-Mayah, A., K. Soudki, and A. Plumtree. 2006. “FEM and mathematical models of the interfacial contact behaviour of CFRP–metal couples.” Compos. Struct. 73 (1): 33–40. https://doi.org/10.1016/j.compstruct.2005.01.024.
Al-Mayah, A., K. Soudki, and A. Plumtree. 2013. “Towards simplified anchor system for CFRP rods.” J. Compos. Constr. 17 (5): 584–590. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000367.
Al-Mayah, A., K. A. Soudki, and A. Plumtree. 2001. “Experimental and analytical investigation of a stainless steel anchorage for CFRP prestressing tendons.” PCI J. 46 (2): 88–100. https://doi.org/10.15554/pcij.03012001.88.100.
Benmokrane, B., B. Zhang, and A. Chennouf. 2000. “Tensile properties and pullout behavior of AFRP and CFRP rods for grouted anchor applications.” Constr. Build. Mater. 14 (3): 157–170. https://doi.org/10.1016/S0950-0618(00)00017-9.
Burgoyne, C. J. 1999. “Advanced composites in civil engineering in Europe.” Struct. Eng. Int. 9 (4): 267–273. https://doi.org/10.2749/101686699780481682.
Cai, D., Z. Xu, J. Yin, R. Liu, and G. Liang. 2016. “A numerical investigation on the performance of composite anchors for CFRP tendons.” Constr. Build. Mater. 112: 848–855. https://doi.org/10.1016/j.conbuildmat.2016.02.202.
Cai, D., J. Yin, and R. Liu. 2015. “Experimental and analytical investigation into the stress performance of composite anchors for CFRP tendons.” Composites, Part B 79: 530–534. https://doi.org/10.1016/j.compositesb.2015.05.014.
Campbell, T. I., N. G. Shrive, K. A. Soudki, A. Al-Mayah, P. J. Keatley, and M. M. Reda. 2011. “Design and evaluation of a wedge-type anchor for fibre reinforced polymer tendon.” Can. J. Civ. Eng. 27 (5): 985–992. https://doi.org/10.1139/l00-048.
Chen, B., S. Li, R. Liu, G. Xie, and N. Zang. 2015. “The static test of the composite anchorage for CFRP tendons and the analysis of the bond stress distribution.” [In Chinese.] Compos. Sci. Eng. 11: 5–8.
Chen, M. 2007. Elasticity and plasticity: Thick-walled cylinder subjected to uniform pressure, 106–107. [In Chinese.] Beijing: Science Press.
Cheng, D. 2010. Handbook of mechanical design (fifth edition): Common information and formulas. [In Chinese.] Beijing: Chemical Industry Press.
Fan, H., A. P. Vassilopoulos, and T. Keller. 2017a. “Pull-out behavior of CFRP ground anchors with two-strap ends.” Compos. Struct. 160: 1258–1267. https://doi.org/10.1016/j.compstruct.2016.10.048.
Fan, H., A. P. Vassilopoulos, and T. Keller. 2017b. “Pull-out behavior of CFRP single-strap ground anchors.” J. Compos. Constr. 21 (3): 04016102. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000760.
Fang, Z., K. Zhang, and B. Tu. 2013. “Experimental investigation of a bond-type anchorage system for multiple FRP tendons.” Eng. Struct. 57: 364–373. https://doi.org/10.1016/j.engstruct.2013.09.038.
Feng, B., X. Wang, and Z. Wu. 2019. “Evaluation and prediction of carbon fiber–reinforced polymer cable anchorage for large capacity.” Adv. Struct. Eng. 22 (8): 1952–1964. https://doi.org/10.1177/1369433219829806.
Feng, P., P. Zhang, X. Meng, and L. Ye. 2014. “Mechanical analysis of stress distribution in a carbon fiber-reinforced polymer rod bonding anchor.” Polymers 6 (4): 1129–1143. https://doi.org/10.3390/polym6041129.
Jiang, T., and Z. Fang. 2010. “Experimental investigation on the performance of wedge-bond anchors for CFRP tendons.” [In Chinese.] China Civ. Eng. J. 43 (2): 79–87.
Li, S., B. Chen, and G. Xie. 2015. “Finite element analysis of anchorage structure for FRP tendon.” Adv. Mater. Res. 1088: 858–861. https://doi.org/10.4028/www.scientific.net/AMR.1088.858.
Liu, Y., B. Zwigmann, and M. Schlaich. 2015. “Carbon fiber reinforced polymer for cable structures—A review.” Polymers 7 (10): 2078–2099. https://doi.org/10.3390/polym7101501.
Mei, K., X. Li, Y. Li, L. Xing, and S. Sun. 2022. “Study on static performance of large-tonnage anchorage system with CFRP cable.” [In Chinese.] China J. Highway Transp. 35 (2): 76–87. https://doi.org/10.19721/j.cnki.1001-7372.2022.02.006.
Mei, K., R. Seracino, and Z. Lv. 2016. “An experimental study on bond-type anchorages for carbon fiber-reinforced polymer cables.” Constr. Build. Mater. 106: 584–591. https://doi.org/10.1016/j.conbuildmat.2015.12.059.
Mei, K., S. Sun, L. Bo, Y. Sun, and G. Jin. 2018. “Experimental investigation on the mechanical properties of a bond-type anchor for carbon fiber reinforced polymer tendons.” Compos. Struct. 201: 193–199. https://doi.org/10.1016/j.compstruct.2018.05.153.
Mei, K., Y. Sun, S. Sun, X. Ren, and J. Zhao. 2020. “Experimental investigation on the mechanical properties of a novel anchorage for carbon fiber reinforced polymer (CFRP) tendon.” Compos. Struct. 234: 11704. https://doi.org/10.1016/j.compstruct.2019.111704.
Meier, U. 2012. “Carbon fiber reinforced polymer cables: Why? Why not? What if?” Arabian J. Sci. Eng. 37 (2): 399–411. https://doi.org/10.1007/s13369-012-0185-6.
Puigvert, F., A. D. Crocombe, and L. Gil. 2014. “Static analysis of adhesively bonded anchorages for CFRP tendons.” Constr. Build. Mater. 14: 206–215. https://doi.org/10.1016/j.conbuildmat.2014.02.072.
SAC (Standardization Administration of the P.R.C.). 2015. Anchorage, grip and coupler for prestressing tendons. GB/T 14370-2015. Beijing: SAC.
Saeed, Y. M., S. M. Al-Obaidi, E. G. Al-Hasany, and F. N. Rad. 2020. “Evaluation of a new bond-type anchorage system with expansive grout for a single FRP rod.” Constr. Build. Mater. 261: 120004. https://doi.org/10.1016/j.conbuildmat.2020.120004.
Sayed-Ahmad, F., G. Foret, and R. Le-Roy. 2011. “Bond between carbon fibre-reinforced polymer (CFRP) bars and ultra high performance fibre reinforced concrete (UHPFRC): Experimental study.” Constr. Build. Mater. 25 (2): 479–485. https://doi.org/10.1016/j.conbuildmat.2010.02.006.
Sayed-Ahmed, E. Y., and N. G. Shrive. 1998. “A new steel anchorage system for post-tensioning applications using carbon fibre reinforced plastic tendons.” Can. J. Civ. Eng. 25: 113–127. https://doi.org/10.1139/cjce-25-1-113.
Schlaich, M., and A. Bleicher. 2007. “Carbon fibre stress-ribbon bridge.” Bautechnik 84: 311–319. https://doi.org/10.1002/bate.200710028.
Schmidt, J. W., A. Bennitz, B. Taljsten, P. Goltermann, and H. Pendersen. 2012. “Mechanical anchorage of FRP tendons—A literature review.” Constr. Build. Mater. 32: 110–121. https://doi.org/10.1016/j.conbuildmat.2011.11.049.
Shi, J., P. Xu, Z. Wu, and X. Wang. 2015. “A novel anchor method for multi-tendon FRP cable: Manufacturing and experimental study.” J. Compos Constr. 19 (6): 04015010. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000563.
Taha, M. M. R., and N. G. Shrive. 2003. “New concrete anchors for carbon fiber-reinforced polymer post-tensioning tendons—Part 1: State-of-the-art review/design.” ACI Struct. J. 100 (1): 86–95. https://doi.org/10.1016/S0886-7798(03)00002-6.
Wang, L., J. Zhang, J. Xu, and Q. Han. 2018. “Anchorage systems of CFRP cables in cable structures—A review.” Constr. Build. Mater. 160: 82–99. https://doi.org/10.1016/j.conbuildmat.2017.10.134.
Wang, X. 2007. Numerical analysis of ANSYS engineering structure. [In Chinese.] Beijing: China Communications Press.
Wang, X., Z. Wu, G. Wu, H. Zhu, and F. Zen. 2013. “Enhancement of basalt FRP by hybridization for long-span cable-stayed bridge.” Composites, Part B 44 (1): 184–192. https://doi.org/10.1016/j.compositesb.2012.06.001.
Xie, G., R. Liu, B. Chen, M. Li, and T. Shi. 2015. “Synergistic effect of a new wedge-bond type anchor for CFRP tendons.” [In Chinese.] J. Cent. South Univ. 22 (6): 2260–2266. https://doi.org/10.1007/s11771-015-2750-0.
Xie, X., X. Li, and Y. Shen. 2014. “Static and dynamic characteristics of a long-span cable-stayed bridge with CFRP cables.” Materials 7 (6): 4854–4877. https://doi.org/10.3390/ma7064854.
Zhang, K., Z. Fang, A. Nanni, J. Hu, and G. Chen. 2015. “Experimental study of a large-scale ground anchor system with FRP tendon and RPC grout medium.” J. Compos. Constr. 19 (4): 04014073. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000537.
Zhu-Ge, P., S. Qiang, and S. Hou. 2010. “Experimental investigation of wedge-anchor parameters for CFRP tendons.” [In Chinese.] J. South Jiaotong Univ. 45 (4): 514–520.
Zhu-Ge, P., Y. Yu, C. S. Cai, Z. Zhang, and Y. Ding. 2019. “Mechanical behavior and optimal design method for innovative CFRP cable anchor.” J. Compos. Constr. 23 (1): 04018067. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000900.
Zhu-Ge, P., Z. Zhang, Y. Ding, and P. Lu. 2014. “Tensile performance with bending of CFRP tendon used in civil engineering.” [In Chinese.] Acta Mater. Compos. Sin. 31 (5): 1300–1305.
Zwingmann, B., Y. Liu, M. Schlaich, and S. Janetzko. 2017. “The sling anchorage: Approach to anchor the full load bearing capacity of pin-loaded straps.” Compos. Struct. 178: 110–118. https://doi.org/10.1016/j.compstruct.2017.06.057.
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© 2023 American Society of Civil Engineers.
History
Received: Jul 5, 2022
Accepted: Dec 15, 2022
Published online: Feb 10, 2023
Published in print: Apr 1, 2023
Discussion open until: Jul 10, 2023
ASCE Technical Topics:
- Anchorages
- Anchors
- Bonding
- Carbon fibers
- Composite materials
- Engineering fundamentals
- Engineering materials (by type)
- Equipment and machinery
- Fiber reinforced polymer
- Fibers
- Hydraulic engineering
- Hydraulic structures
- Materials engineering
- Materials processing
- Polymer
- Ports and harbors
- Structural engineering
- Structural members
- Structural systems
- Synthetic materials
- Tendons
- Water and water resources
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