DOI QR코드

DOI QR Code

Proposals for flexural capacity prediction method of externally prestressed concrete beam

  • Yan, Wu-Tong (School of Civil Engineering, Beijing Jiaotong University) ;
  • Chen, Liang-Jiang (China Railway Economic and Planning Research Institute Co., Ltd.) ;
  • Han, Bing (School of Civil Engineering, Beijing Jiaotong University) ;
  • Wei, Feng (China State Railway Group Co., Ltd.) ;
  • Xie, Hui-Bing (School of Civil Engineering, Beijing Jiaotong University) ;
  • Yu, Jia-Ping (School of Civil Engineering, Beijing Jiaotong University)
  • 투고 : 2022.03.25
  • 심사 : 2022.05.21
  • 발행 : 2022.08.10

초록

Flexural capacity prediction is a challenging problem for externally prestressed concrete beams (EPCBs) due to the unbonded phenomenon between the concrete beam and external tendons. Many prediction equations have been provided in previous research but typically ignored the differences in deformation mode between internal and external unbonded tendons. The availability of these equations for EPCBs is controversial due to the inconsistent deformation modes and ignored second-order effects. In this study, the deformation characteristics and collapse mechanism of EPCB are carefully considered, and the ultimate deflected shape curves are derived based on the simplified curvature distribution. With the compatible relation between external tendons and the concrete beam, the equations of tendon elongation and eccentricity loss at ultimate states are derived, and the geometric interpretation is clearly presented. Combined with the sectional equilibrium equations, a rational and simplified flexural capacity prediction method for EPCBs is proposed. The key parameter, plastic hinge length, is emphatically discussed and determined by the sensitivity analysis of 324 FE analysis results. With 94 collected laboratory-tested results, the effectiveness of the proposed method is confirmed, and comparisons with the previous formulas are made. The results show the better prediction accuracy of the proposed method for both stress increments and flexural capacity of EPCBs and the main reasons are discussed.

키워드

과제정보

The authors would like to acknowledge the following financial supports: the Funds of China Railway Economic Planning and Research Institute (Grant No. 2021BSH01); Project of Science and Technology Research Development Plan of China Railway (Grant No. K2021G013 and N2021G046); Project from Key Laboratory of Transport Industry of Bridge Detection Reinforcement Technology (Beijing) (Grant No. C21M00030).

참고문헌

  1. AASHTO (1994), LRFD Bridge Design Specifications, American Association of State Highway and Transportation Officials, Washington, DC, USA.
  2. AASHTO (2017), AASHTO LRFD Bridge Design Specifications, American Association of State Highway and Transportation Officials, Washington, DC, USA.
  3. ACI 318 (2014), Building Code Requirements for Reinforced Concrete, American Concrete Institute, Farmington Hills, MI, USA.
  4. Alqam, M. and Alkhairi, F. (2019), "Numerical and analytical behavior of beams prestressed with unbonded internal or external steel tendons: a state-of-the-art review", Arab. J. Sci. Eng., 44(10), 8149-8170. https://doi.org/10.1007/s13369-019-03934-3.
  5. Aparicio, A.C., Ramos, G. and Casas, J.R. (2002), "Testing of externally prestressed concrete beams", Eng. Struct., 24(1), 73-84. https://doi.org/10.1016/S0141-0296(01)00062-1.
  6. Au, F.T.K. and Du, J. (2004), "Prediction of ultimate stress in unbonded prestressed tendons", Mag. Concrete Res., 56(1), 1-11. https://doi.org/10.1680/macr.56.1.1.36288.
  7. Au, F.T.K., Su, R.K.L., Tso, K. and Chan, K.H.E. (2008), "Behaviour of partially prestressed beams with external tendons", Mag. Concrete Res., 60(6), 455-467. https://doi.org/10.1680/macr.2008.60.6.455.
  8. Chan, K.H.E. and Au, F.T.K. (2015), "Behaviour of continuous prestressed concrete beams with external tendons", Struct. Eng. Mech., 55(6), 1099-1120. https://doi.org/10.12989/sem.2015.55.6.1099.
  9. Dai, L., Bian, H., Wang, L., Potier-Ferry, M. and Zhang, J. (2020), "Prestress loss diagnostics in pretensioned concrete structures with corrosive cracking", J. Struct. Eng., 146(3), 04020013. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002554.
  10. Du, J.S., Yang, D., Ng, P.L. and Au, F.T.K. (2011), "Response of concrete beams partially prestressed with external unbonded carbon fiber-reinforced polymer tendons", Adv. Mater. Res., 150, 344-349. https://doi.org/10.4028/www.scientific.net/AMR.150-151.344.
  11. Fang, D.P. (2014), "Second order effects of external prestress on frequencies of simply supported beam by energy method", Struct. Eng. Mech., 52(4), 687-699. https://doi.org/10.12989/sem.2014.52.4.687.
  12. Ghallab, A. and Beeby, A.W. (2005), "Factors affecting the external prestressing stress in externally strengthened prestressed concrete beams", Cement Concrete Compos., 27(9-10), 945-957. https://doi.org/10.1016/j.cemconcomp.2005.05.003.
  13. Halder, R., Yuen, T.Y.P., Chen, W.W., Zhou, X., Deb, T., Zhang, H.X. and Wen, T.H. (2021), "Tendon stress evaluation of unbonded post-tensioned concrete segmental bridges with two-variable response surfaces", Eng. Struct., 245, 112984. https://doi.org/10.1016/j.engstruct.2021.112984.
  14. Harajli, M.H. (1993), "Strengthening of concrete beams by external prestressing", PCI J., 38(6), 76-88. https://doi.org/10.15554/pcij.11011993.76.88.
  15. Harajli, M.H. (2011), "Proposed modification of AASHTO-LRFD for computing stress in unbonded tendons at ultimate", J. Bridge Eng., 16(6), 828-838. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000183.
  16. Harajli, M.H., Khairallah, N. and Nassif, H. (1999), "Externally prestressed members: Evaluation of second-order effects", J. Struct. Eng., 125(10), 1151-1161. https://doi.org/10.1061/(ASCE)0733-9445(1999)125:10(1151).
  17. He, Z.Q. and Liu, Z. (2010), "Stresses in external and internal unbonded tendons-unified methodology and design equations", J. Struct. Eng., 136(9), 1055-1065. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000202.
  18. Lee, S.H., Shin, K.J. and Thomas, H.K.K. (2014), "Non-iterative moment capacity equation for reinforced concrete beams with external post-tensioning", ACI Struct. J., 111(5), 1111-1121. https://doi.org/10.14359/51686815.
  19. Li, G. (2006), "Calculating method for design of external prestressed concrete bridges", Ph.D. Dissertation, Tongji Univerisity, Shanghai, China. (in Chinese)
  20. Maguire, M., Chang, M., Collins, W.N. and Sun, Y. (2017), "Stress increase of unbonded tendons in continuous posttensioned members", J. Bridge Eng., 22(2), 04016115. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000991.
  21. Mohammed, A.H. and Taysi, N. (2017), "Modelling of bonded and unbonded post-tensioned concrete flat slabs under flexural and thermal loading", Struct. Eng. Mech., 62(5), 595-606. https://doi.org/10.12989/sem.2017.62.5.595.
  22. Mutsuyoshi, H., Tsuchida, K., Machida, A. and Matupayont, S. (1995), "Flexural behavior and proposal of design equation for flexural strength of externally PC members", Proc. JSCE, 1995(508), 67-77. https://doi.org/10.2208/jscej.1995.508_67.
  23. Naaman, A.E. and Alkhairi, F.M. (1991), "Stress at ultimate in unbonded post-tensioning tendons: Part 2-Proposed methodology", ACI Struct. J., 88(6), 683-692. https://doi.org/10.14359/1288.
  24. Ng, C.K. (2003), "Tendon stress and flexural strength of externally prestressed beams", ACI Struct. J., 100(5), 644-653. https://doi.org/10.14359/12806.
  25. Ng, C.K. and Tan, K.H. (2006), "Flexural behaviour of externally prestressed beams. Part II: Experimental investigation", Eng. Struct., 28(4), 622-633. https://doi.org/10.1016/j.engstruct.2005.09.016.
  26. Niu, B. (1999), "The analysis of flexural behavior of external prestressed concrete beams", Chin. Civil Eng. J., 32(4), 37-44. (in Chinese) https://doi.org/10.3321/j.issn:1000-131X.1999.04.006
  27. OpenSees (2022), Open System for Earthquake Engineering Simulation, Berkeley, CA, USA.
  28. Peng, F. and Xue, W. (2019), "Calculating method for ultimate tendon stress in internally unbonded prestressed concrete members", ACI Struct. J., 116(15), 225-234. https://doi.org/10.14359/51716842.
  29. Peng, F., Xue, W. and Tan, Y. (2018), "Design approach for flexural capacity of prestressed concrete beams with external tendons", J. Struct. Eng., 144(12), 04018215. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002208.
  30. Roberts-Wollmann, C.L., Kreger, M.E., Rogowsky, D.M. and Breen, J.E. (2005), "Stresses in external tendons at ultimate", ACI Struct. J., 102(2), 206-213. https://doi.org/10.14359/14271.
  31. Schmidt, J.W., Bennitz, A., Nilimaa, J., Goltermann, P. and Tajlsten, B. (2012), "Reinforced concrete T-beams externally prestressed with unbonded carbon fiber-reinforced polymer tendons", ACI Struct. J., 109(4), 521-530. https://doi.org/10.14359/51683871.
  32. Tahar, H.D., Tayeb, B., Abderezak, R. and Tounsi, A. (2021), "New approach of composite wooden beam- reinforced concrete slab strengthened by external bonding of prestressed composite plate: analysis and modeling", Struct. Eng.Mech., 78(3), 319-332. https://doi.org/10.12989/sem.2021.78.3.319.
  33. Tam, A. and Pannell, F.N. (1976), "Ultimate moment resistance of unbonded partially prestressed reinforced concrete beams", Mag. Concrete Res., 28(97), 203-208. https://doi.org/10.1680/macr.1976.28.97.203.
  34. Tan, K.H. and Ng, C.K. (1997), "Effects of deviators and tendon configuration on behavior of externally prestressed beams", ACI Struct. J., 94(1), 13-22. https://doi.org/10.14359/456.
  35. Tan, K.H., Farooq, A.A. and Ng, C.K. (2001), "Behavior of simple-span reinforced concrete beams locally strengthened with external tendons", ACI Struct. J., 98(2), 174-183. https://doi.org/10.14359/10185.
  36. Wang, L., Dai, L., Bian, H., Ma, Y. and Zhang, J. (2019), "Concrete cracking prediction under combined prestress and strand corrosion", Struct. Infrastr. Eng., 15(3), 285-295. https://doi.org/10.1080/15732479.2018.1550519.
  37. Xin, W., Jianzhe, S., Gang, W., Long, Y. and Zhishen, W. (2015), "Effectiveness of basalt FRP tendons for strengthening of RC beams through the external prestressing technique", Eng. Struct., 101, 34-44. https://doi.org/10.1016/j.engstruct.2015.06.052.
  38. Yan, W.T., Han, B., Xie, H.B., Li, P.F. and Zhu, L. (2020), "Research on numerical model for flexural behaviors analysis of precast concrete segmental box girders", Eng. Struct., 219, 110733. https://doi.org/10.1016/j.engstruct.2020.110733.
  39. Yang, K.H., Lee, K.H. and Yoon, H.S. (2019), "Flexural tests on two-span unbonded post-tensioned lightweight concrete beams", Struct. Eng. Mech., 72(5), 631-642. https://doi.org/10.12989/sem.2019.72.5.631.
  40. Yang, X., Zohrevand, P., Mirmiran, A., Arockiasamy, M. and Potter, W. (2016), "Effect of elastic modulus of carbon fiber-reinforced polymer strands on the behavior of posttensioned segmental bridges", J. Compos. Constr., 20(5), 04016030. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000680.
  41. Yuan, A., He, Y., Dai, H. and Cheng, L. (2015), "Experimental study of precast segmental bridge box girders with external unbonded and internal bonded posttensioning under monotonic vertical loading", J. Bridge Eng., 20(4), 04014075. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000663.
  42. Zhou, H.T., Li, S.Y. and Naser, M.Z. (2021), "Modeling fire performance of externally prestressed steel-concrete composite beams", Steel Compos. Struct., 41(5), 625-636. https://doi.org/10.12989/scs.2021.41.5.625.