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Flexural Behavior of Unbonded Post-Tensioned Concrete T-Beams Externally Bonded With CFRP Sheets Under Static Loading

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Abstract

This paper presents a study on flexural behavior of unbonded post-tensioned concrete T-beams (UPC) externally strengthened by CFRP sheets under static loading with or without the presence of U-strip CFRP anchorage systems. A total of nine UPC T-beams in large size including one control unstrengthened beam and eight beams externally strengthened with varied number of CFRP sheets (2, 4, and 6 plies) were tested. Two types of transverse CFRP U-strip anchorage system were also retrofitted in the shear span. The results showed that CFRP sheets significantly increased the flexural capacity (up to 37%), decreased deflection in serviceability state, improved ductility, and reduced crack width (up to 48%) of the tested beams. The maximum strain in CFRP sheets in strengthened UPC T-beams ranged from 38.7 to 69.3% of the rupture strain of the CFRP sheets and tended to decrease with a large number of CFRP sheets. Strain in tendons of strengthened beams was significantly affected by the CFRP sheets and transverse U-strip anchorage system.

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Abbreviations

AN1:

U-strip anchorage system with one 300-mm-wide strip and three 100-mm-wide strips installed within the distance of L/4 = 1350 mm from each end of CFRP sheet

AN2:

U-strip anchorage system with six 100-mm-wide strips evenly spaced within the distance of L/4 = 1350 mm from each end of CFRP sheet

an :

number of CFRP U-strip 100-mm-wide anchorage

a cr,exp :

crack width of tested beam, mm

a cr,u,CFRP :

maximum crack width of FRP-strengthened beam, mm

a cr,u,0 :

maximum crack width of the control beam, mm

t f :

thickness of one ply of the CFRP sheet, mm

a cr,CFRP :

crack width of FRP-strengthened beam, mm

a f :

width of the CFRP reinforcing plies, mm

n :

number of plies of CFRP sheet

s f :

spacing of CFRP U-strip, mm

w f :

width of CFRP U-strip anchors, mm

P cr,exp :

cracking load of test beam, kN

P exp :

test load, kN

P u,0,exp :

ultimate load of the control beam, kN

P u,exp :

ultimate load of test beam, kN

δ u,exp :

maximum displacement at midspan of test beam, mm

δ exp,mid :

displacement at midspan of test beam, mm

ε ten,u,mid :

maximum tensile strain in unbonded tendon at midspan, ‰

δ u,0 :

maximum displacement at midspan of the control beam, mm

ε cu :

maximum concrete strain, ‰

ε CFRP :

tensile strain in CFRP sheets, ‰

ε su :

maximum tensile strain in non-prestressed reinforcement at the ultimate load, ‰

ε fu,end :

maximum tensile strain in CFRP sheets at the ends of the bond length, ‰

ε fu,L/3 :

maximum tensile strain in CFRP sheets of test beam at the loading locations, ‰

ε fu,mid :

maximum tensile strain in CFRP sheets of test beam at midspan, ‰

References

  1. Reed CE, Peterman RJ (2004) Evaluation of prestressed concrete girders strengthened with carbon fiber reinforced polymer sheets. J Bridge Eng 9:185–192

    Article  Google Scholar 

  2. Rosenboom O, Hassan TK, Rizkalla S (2006) Flexural behavior of aged prestressed concrete girders strengthened with various FRP systems. Constr Build Mater 21(4):764–776

    Article  Google Scholar 

  3. Ludovico MD, Prota A, Manfredi G, Cosenza E (2010) FRP strengthening of full-scale PC girders. J Compos Constr 14(5):510–520

    Article  Google Scholar 

  4. Kasan JL, Harries KA, Miller R, Brinkman RJ (2012) Limits of application of externally bonded CFRP repairs for impact-damaged prestressed concrete girders. J Compos Constr 18(3):A4013013

    Article  Google Scholar 

  5. Afefy HM, Sennah K, Cofini A (2015) Retrofitting actual-size precracked precast prestressed concrete double-Tee girders using externally bonded CFRP sheets. J Perform Constr Facil 30(2):04015020

    Article  Google Scholar 

  6. Pino V, Nanni A, Arboleda D, Roberts-Wollmann C, Cousins T (2016) Repair of damaged prestressed concrete girders with FRP and FRCM composites. J Compos Constr 21(3):04016111

    Article  Google Scholar 

  7. Chakrabari PR (2005) Behavior of un-bonded post-tensioned beams repaired and retrofitted with composite materials. In: ASCE structures congress: metropolis and beyond, pp 1–11

    Google Scholar 

  8. Meski FE, Harajli M (2013) Flexural behavior of unbonded posttensioned concrete members strengthened using external FRP composites. J Compos Constr 17(2):197–207

    Article  Google Scholar 

  9. Meski FE, Harajli M (2014) Evaluation of the flexural response of CFRP-strengthened unbonded posttensioned members. J Compos Constr 19(3):04014052

    Article  Google Scholar 

  10. Ghasemi S, Maghsoudi AA, Bengar HA, Ronagh HR (2015) Sagging and hogging strengthening of continuous unbonded posttensioned HSC beams by NSM and EBR. J Compos Constr 20(2):04015056

    Article  Google Scholar 

  11. ACI Committee 440 (2008) Guide for the design and construction of externally bonded FRP systems for strengthening of concrete structures (ACI 440.2R-08). American Concrete Institute, Farmington Hills, Michigan, USA

    Google Scholar 

  12. Concrete Society Committee (2012) Design guidance for strengthening concrete structures using fibre composite materials. Technical report No. 55, 3rd edn. Camberley, Surrey

    Google Scholar 

  13. Advisory Committee on Technical Recommendations for Construction (2013) Guide for the Design and Construction of externally bonded FRP systems for strengthening existing structures (CNR-DT 200R1/2004). National Research Council, Rome

    Google Scholar 

  14. Rabczuk T, Akkermann J, Eibl J (2005) A numerical model for reinforced concrete structures. Int J Solids Struct 42(5–6):1327–1354

    Article  MATH  Google Scholar 

  15. Rabczuk T, Zi G, Bordas S, Nguyen-Xuan H (2008) A geometrically non-linear three dimensional cohesive crack method for reinforced concrete structures. Eng Fract Mech 75(16):4740–4758

    Article  Google Scholar 

  16. Rabczuk T, Zi G, Bordas S, Nguyen-Xuan H (2010) A simple and robust threedimensional cracking-particle method without enrichment. Comput Methods Appl Mech Eng 199(37–40):2437–2455

    Article  MATH  Google Scholar 

  17. Rabczuk T, Belytschko T (2004) Cracking particles: a simplified meshfree method for arbitrary evolving cracks. Int J Numer Meth Eng 61(13):2316–2343

    Article  MATH  Google Scholar 

  18. Rabczuk T, Belytschko T (2006) Application of particle methods to static fracture of reinforced concrete structures. Int J Fract 137(1–4):19–49

    Article  MATH  Google Scholar 

  19. Rabczuk T, Belytschko T (2007) A three dimensional large deformation meshfree method for arbitrary evolving cracks. Comput Methods Appl Mech Eng 196(29–30):2777–2799

    Article  MathSciNet  MATH  Google Scholar 

  20. RILEM Technical Committee 50 (Draft Recommendation) (1985) Determination of the fracture energy of mortar and concrete by means of three-point bend tests on notched beams. Mater Struct 18:287–290

    Article  Google Scholar 

Download references

Acknowledgements

This research was funded by Dong Thap province’s Department of Science and Technology and Department of Transport.

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Correspondence to L. Nguyen-Minh .

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Truong, Q.P.T., Phan-Vu, P., Tran-Thanh, D., Dang, T.D., Nguyen-Minh, L. (2018). Flexural Behavior of Unbonded Post-Tensioned Concrete T-Beams Externally Bonded With CFRP Sheets Under Static Loading. In: Nguyen-Xuan, H., Phung-Van, P., Rabczuk, T. (eds) Proceedings of the International Conference on Advances in Computational Mechanics 2017. ACOME 2017. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-7149-2_19

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  • DOI: https://doi.org/10.1007/978-981-10-7149-2_19

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  • Online ISBN: 978-981-10-7149-2

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