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A new approach to the design of RC structures based on concrete mix characteristic length

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An Erratum to this article was published on 01 April 2015

Abstract

A new approach to the design of reinforced concrete (RC) structures is proposed. It does not rely on the traditional characteristic compressive strength of the concrete mix which is the basis of all current codes for the design of RC structures. Instead, the approach is based on the characteristic length of the concrete mix that has its origins in the concepts of fracture mechanics. Based on the research done in Cardiff University over the past 6 years on long and short beams and slender columns, it is shown that this new approach leads to a substantial reduction in the amount of reinforcing steel needed in RC structures made from high strength concrete mixes without jeopardising their ductility. This provides conclusive evidence that the current design code provisions for reinforcement based on the mix characteristic compressive strength grossly overestimate the requirements for high strength mixes leading to wastage of steel, reinforcement congestion and high cost of construction. The adoption of this new design approach, which is based on sound physical principles, should help promote the use of high performance, durable and sustainable concrete in the construction industry without increasing the cost of construction or compromising the safety of structures.

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References

  • Abdalla HM, Karihaloo BL (2003) Determination of size-independent specific fracture energy of concrete from three-point bend and wedge splitting tests. Mag Concr Res 55:133–142

    Article  Google Scholar 

  • Bache HH (1986) Fracture mechanics in design of concrete and concrete structures. In: Wittmann FH (ed) Fracture toughness and fracture energy of concrete. Elsevier, Amsterdam, pp 577–586

    Google Scholar 

  • Bosco C, Carpinteri A (1992) Fracture mechanics evaluation of minimum reinforcement in concrete structures. In: Carpinteri A (ed) Applications of fracture mechanics to reinforced concrete. Elsevier, London, pp 347–377

    Google Scholar 

  • British Standard BS 1881–121:1983 (1983) Testing concrete: method of determination of static modulus of elasticity in compression. British Standards Institution, London

  • British Standard BS EN 12390–3:2009 (2009) Testing hardened concrete: compressive strength of test specimens. British Standards Institution, London

  • British Standard BS EN 12390–6:2009 (2009) Testing hardened concrete: tensile splitting strength of test specimens. British Standards Institution, London

  • Cifuentes H, Karihaloo BL (2013) Determination of size-independent specific fracture energy of normal- and high-strength self-compacting concrete from wedge splitting tests. J Constr Build Mater 48:548–553

    Article  Google Scholar 

  • Committee ACI 446 Report ACI 446–2R (1992) Fracture mechanics: application to concrete structures and implications with regard to the code. American Concrete Institute, Detroit

  • European Committee for Standardization (2004) ES EN 1992-1-1 Eurocode 2: design of concrete structures—part 1–1: general rules and rules for buildings. Brussels

  • Gougoulias S, Konstantinides N, Triantafyllidis I (2012) Design of RC beams based on the concrete mix characteristic length. MSc thesis, Cardiff University, UK

  • Hawkins NM (1985) The role of fracture mechanics in conventional reinforced concrete design. In: Shah SP (ed) Application of fracture mechanics to cementitious composites (NATO Advanced Research Workshop, Evanston, USA 1984). Martinus Nijhoff, Dordrecht, pp 639–666

    Chapter  Google Scholar 

  • Hawkins NM, Hjorteset K (1992) Minimum reinforcement requirements for concrete flexural members. In: Carpinteri A (ed) Applications of fracture mechanics to reinforced concrete. Elsevier, London, pp 379–412

  • Hillerborg A, Modeer M, Petersson PE (1976) Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cem Concr Res 6:773–782

    Article  Google Scholar 

  • Karihaloo BL (1995) Fracture mechanics and structural concrete. Addison Wesley Longman, Harlow

    Google Scholar 

  • Khan MZN, Wong C, Yan L (2009) Design of long RC beams based on concrete mix characteristic length. MSc thesis, Cardiff University, UK

  • Pei, Y, Rubel A, Yan T (2010) Design of short span RC beams based on the concrete mix characteristic length. MSc thesis, Cardiff University, UK

  • Qiu L, Zhang K (2013) Design of slender RC columns based on the concrete mix characteristic length. MSc thesis, Cardiff University, UK

  • Qureshi TS, Sagyndykov DT, Li X, Wahab F (2011) Reinforced concrete structure design based on concrete mix characteristic length. MSc thesis, Cardiff University, UK

  • Ramachandra Murthy A, Karihaloo BL, Iyer NR, Raghu Prasad BK (2013) Determination of size-independent specific fracture energy of concrete mixes by two methods. Cem Concr Res 50:19–25

    Article  Google Scholar 

  • Wei X (2007) Design of RC structures based on concrete mix characteristic length. MSc thesis, Cardiff University, UK

Download references

Acknowledgments

The work reported here would not have been possible without the enthusiastic and willing cooperation of my former MSc students, named in references 8–13. I am most grateful to all of them.

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Correspondence to B. L. Karihaloo.

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It had been planned to report this work for the first time at the 20th European Conference on Fracture (ECF20, Trondheim, July 2014) but that was not possible. However, a brief summary of some of the results that had been submitted to this Conference appears in Procedia Materials Science, Elsevier, vol 3, 2014, pp 369–377.

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Karihaloo, B.L. A new approach to the design of RC structures based on concrete mix characteristic length. Int J Fract 191, 147–165 (2015). https://doi.org/10.1007/s10704-015-0009-2

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  • DOI: https://doi.org/10.1007/s10704-015-0009-2

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