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Reliability of Shear Strength Models for Fibre Reinforced Concrete Members Without Shear Reinforcement

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Fibre Reinforced Concrete: Improvements and Innovations II (BEFIB 2021)

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Abstract

The scope and amount of fibre reinforced concrete (FRC) structural applications have seen significant increases. This means that safe and reliable ultimate limit state (ULS) models are necessary for FRC structural members. Among these, shear strength of FRC members without shear reinforcement is highly important due to the brittleness of shear failure. Because of this, the fib Model Code 2010 introduced two shear strength models: an empirical model based on Eurocode 2 and a physical model based on the Modified Compression Field Theory. However, a comprehensive reliability assessment of these models has been lacking. Therefore, in this study, the safety format of these models is assessed and the partial safety factors for FRC in shear, γc and γF are updated. As a first step, a large database of experimental results on FRC beams is used to determine model uncertainties. Following this, a comprehensive parametric probabilistic analysis is performed using the First Order Reliability Method to determine the adequate values of γc for different target reliability indices β. The results of this study show that in order to reach typical reliability indices used in ULS design, γc and γF values need to be increased for FRC members without shear reinforcement for both models proposed by the fib Model Code 2010.

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References

  1. de la Fuente, A., Blanco, A., Armengou, J., Aguado, A.: Sustainability based-approach to determine the concrete type and reinforcement configuration of TBM tunnels linings. Case study: Extension line to Barcelona Airport T1. Tunn. Undergr. Sp. Technol. 61, 179–88 (2017). https://doi.org/10.1016/j.tust.2016.10.008.

  2. de La Fuente, A., Casanovas-Rubio, M.D.M., Pons, O., Armengou, J.: Sustainability of column-supported RC Slabs: fiber reinforcement as an alternative. J. Constr. Eng. Manag. 145, 1–12 (2019). https://doi.org/10.1061/(ASCE)CO.1943-7862.0001667

    Article  Google Scholar 

  3. Winkler, A., Edvardsen, C., Kasper, T.: Examples of bridge, tunnel lining and foundation design with Steel-fibre-reinforced concrete. Am. Concr. Institute, ACI Spec. Publ., 451–60 (2014). https://doi.org/10.35789/fib.bull.0079.ch42

  4. Parra-Montesinos, G.J., et al.: Earthquake-resistant fibre-reinforced concrete coupling beams without diagonal bars. Am. Concr. Institute, ACI Spec. Publ. 461–70 (2014). https://doi.org/10.35789/fib.bull.0079.ch43

  5. Cugat, V., Cavalaro, S.H.P., Bairán, J.M., de la Fuente, A.: Safety format for the flexural design of tunnel fibre reinforced concrete precast segmental linings. Tunn Undergr Sp Technol. 103, 103500 (2020). https://doi.org/10.1016/j.tust.2020.103500

    Article  Google Scholar 

  6. Balász, G.: A historical review of shear. Shear punching Shear RC FRC Elem., Salò: International Federation for Structural Concrete (fib), pp. 1–14 (2010)

    Google Scholar 

  7. FIB Bulletin 85: Towards a rational understanding of shear in beams and slabs. Lausanne (2018)

    Google Scholar 

  8. EN 1992-1-1: Eurocode 2: Design of concrete structures - Part 1-1: General rules and rules for buildings. CEN, Brussels (2004)

    Google Scholar 

  9. FIB: fib Model Code for Concrete Structures 2010. Lausanne: International Federation for Structural Concrete (fib) (2013). https://doi.org/10.1002/9783433604090

  10. Meda, A., Minelli, F., Plizzari, G.A., Riva, P.: Shear behaviour of steel fibre reinforced concrete beams. Mater. Struct. Constr. 38, 343–351 (2005). https://doi.org/10.1617/14112

    Article  Google Scholar 

  11. Minelli, F., Plizzari, G.A.: On the effectiveness of steel fibers as shear reinforcement. ACI Struct. J. 110, 2013 (2013). https://doi.org/10.14359/51685596

  12. Minelli, F.: Plain and fiber reinforced concrete beams under shear loading: structural behavior and design aspects. University of Brescia (2005)

    Google Scholar 

  13. di Prisco, M., Plizzari, G., Vandewalle, L.: MC2010: overview on the shear provisions for FRC. Shear punching Shear RC FRC Elem., Salò: International Federation for Structural Concrete (fib); pp. 61–76 (2010)

    Google Scholar 

  14. Vecchio, F.J., Collins, M.P.: The modified compression-field theory for reinforced concrete elements subjected to shear. J. Am. Concr. Inst. 83, 219–31 (1986). https://doi.org/10.14359/10416

  15. Sykora, M., Holicky, M., Prieto, M., Tanner, P.: Uncertainties in resistance models for sound and corrosion-damaged RC structures according to EN 1992-1-1. Mater. Struct. 48(10), 3415–3430 (2014). https://doi.org/10.1617/s11527-014-0409-1

    Article  Google Scholar 

  16. Reineck, K.H., Kuchma, D.A., Kim, K.S., Marx, S.: Shear database for reinforced concrete members without shear reinforcement. ACI Struct. J. 100, 240–249 (2003)

    Google Scholar 

  17. Marì Bernat, A., Spinella, N., Recupero, A., Cladera, A.: Mechanical model for the shear strength of steel fiber reinforced concrete (SFRC) beams without stirrups. Mater. Struct. 53(2), 1–20 (2020). https://doi.org/10.1617/s11527-020-01461-4

    Article  Google Scholar 

  18. Conforti, A., Minelli, F., Plizzari, G.A.: Shear behaviour of prestressed double tees in self-compacting polypropylene fibre reinforced concrete. Eng. Struct. 146, 93–104 (2017). https://doi.org/10.1016/j.engstruct.2017.05.014

    Article  Google Scholar 

  19. Conforti, A., Minelli, F., Tinini, A., Plizzari, G.A.: Influence of polypropylene fibre reinforcement and width-to-effective depth ratio in wide-shallow beams. Eng. Struct. 88, 12–21 (2015). https://doi.org/10.1016/j.engstruct.2015.01.037

    Article  Google Scholar 

  20. EN 14651: Test method for metallic fibred concrete — Measuring the flexural tensile strength (limit of proportionality (LOP), residual). Br Stand Inst (2005). 9780580610523

    Google Scholar 

  21. Lantsoght, E.O.L.: Database of shear experiments on steel fiber reinforced concrete beams without stirrups. Materials (Basel) 12, 917 (2019). https://doi.org/10.3390/ma12060917

    Article  Google Scholar 

  22. Lantsoght, E.: Database of experiments on SFRC beams without stirrups failing in shear (Version 1.0). Zenodo (2019). https://doi.org/10.5281/ZENODO.2578061

  23. Venkateshwaran, A., Tan, K.H., Li, Y.: Residual flexural strengths of steel fiber reinforced concrete with multiple hooked-end fibers. Struct. Concr. 19, 352–365 (2018). https://doi.org/10.1002/suco.201700030

    Article  Google Scholar 

  24. Tiberti, G., Germano, F., Mudadu, A., Plizzari, G.A.: An overview of the flexural post-cracking behavior of steel fiber reinforced concrete. Struct. Concr. 19, 695–718 (2018). https://doi.org/10.1002/suco.201700068

    Article  Google Scholar 

  25. Galeote, E., Blanco, A., Cavalaro, S.H.P., de la Fuente, A.: Correlation between the Barcelona test and the bending test in fibre reinforced concrete. Constr. Build. Mater. 152, 529–538 (2017). https://doi.org/10.1016/j.conbuildmat.2017.07.028

    Article  Google Scholar 

  26. Melchers, R.E.: Structural Reliability Analysis and Prediction. Ellis Horwood (1987)

    Google Scholar 

  27. Madsen, H.O., Krenk, S., Lind, N.C.: Methods of structural safety. Dover, New York (2006)

    Google Scholar 

  28. JCSS. Probabilistic Model Code (2001)

    Google Scholar 

  29. EN 1990. Eurocode - Basis of structural design. Brussels: CEN (2002)

    Google Scholar 

Download references

Acknowledgements

This study has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 836270. This support is gratefully acknowledged. The authors also wish to express their acknowledgement to the Ministry of Economy, Industry and Competitiveness of Spain for the financial support received under the scope of the projects PID2019-108978RB-C32. Any opinions, findings, conclusions, and/or recommendations in the paper are those of the authors and do not necessarily represent the views of the individuals or organizations acknowledged.

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Correspondence to Nikola Tošić .

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Tošić, N., Bairán, J.M., de la Fuente, A. (2022). Reliability of Shear Strength Models for Fibre Reinforced Concrete Members Without Shear Reinforcement. In: Serna, P., Llano-Torre, A., Martí-Vargas, J.R., Navarro-Gregori, J. (eds) Fibre Reinforced Concrete: Improvements and Innovations II. BEFIB 2021. RILEM Bookseries, vol 36. Springer, Cham. https://doi.org/10.1007/978-3-030-83719-8_48

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  • DOI: https://doi.org/10.1007/978-3-030-83719-8_48

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  • Online ISBN: 978-3-030-83719-8

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