Structural Engineering and Mechanics

  • 제15권2호
  • /
  • Pages.159-180
  • /
  • 2003
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Determination of crack spacing and crack width in reinforced concrete beams

  • Piyasena, R. (School of Engineering, Griffith University-Gold Coast Campus) ;
  • Loo, Yew-Chaye (School of Engineering, Griffith University-Gold Coast Campus) ;
  • Fragomeni, Sam (School of Engineering, Griffith University-Gold Coast Campus)
  • 투고 : 2001.10.10
  • 심사 : 2002.12.05
  • 발행 : 2003.02.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper spacing and width of flexural cracks in reinforced concrete beams are determined using two-dimensional finite element analysis. At early loading stages on the beam the primary crack spacing is based on the slip length, which is the development length required to resist the steel stress increment that occurs at a cracked section on the formation of the first flexural crack. A semi-empirical formula is presented in this paper for the determination of the slip length for a given beam. At higher load levels, the crack spacing is based on critical crack spacing, which is defined as the particular crack spacing that would produce a concrete tensile stress equal to the flexural strength of concrete. The resulting crack width is calculated as the relative difference in extensions of steel reinforcement and adjacent concrete evaluated at the cracked section. Finally a comparative study is undertaken, which indicates that the spacing and width of cracks calculated by this method agree well with values measured by other investigators.

키워드

참고문헌

  1. ACI Committee 224 (1972), "Control of cracking in concrete structures", Proc. J., ACI, 69(12).
  2. ACI Committee 318 (1995), Building Code Requirements for Reinforced Concrete (ACI 318-95), American Concrete Institute, Detriot.
  3. Bazant, Z.P. and Oh, B.H. (1983), "Spacing of cracks in reinforced concrete", J. Struct. Eng., American Society of Civil Engineers, 109(9), 2066-2085.
  4. Beeby, A.W. (1970), "An investigation of cracking in slabs spanning one way", Cement and Concrete Association, Technical Report 42.433, London.
  5. Beeby, A.W. (1971), "An investigation of cracking on the side faces of beams", Cement and Concrete Association, Technical Report 42.466, London.
  6. Broms, B.B. (1965), "Stress distribution in reinforced concrete members with tension cracks", ACI J., Proceedings, 62(9), 1095-1108.
  7. Chi, M. and Kirstein, A.F. (1958), "Flexural cracks in reinforced concrete beams", Proc. J., ACI, 54(10), 865-878.
  8. Clark, A.P. (1956), "Cracking in reinforced concrete flexural members", Proc. J., ACI, 52(8), 851-862.
  9. Cook, R.D., Malkus, D.S. and Plesha, M.E. (1989), Concepts and Applications of Finite Element Analysis, Third Edition, J. Willey.
  10. Eligehausen, R., Bertero, V.V. and Popov, E.P. (1983), "Local bond stress-slip relationships of deformed bars under generalized excitations; Tests and analytical model", Report No. UCB/EERC-83, Earthquake Engineering Research Center, University of California, Berkeley, California.
  11. Gergely, P. and Lutz, L.A. (1968), "Maximum crack width in reinforced concrete flexural members", Causes, Mechanism, and Control of Cracking in Concrete, SP-20, American Concrete Institute, 87-117.
  12. Giuriani, E., Plizzari, G. and Schumm, C. (1991), "Role of stirrups and residual tensile strength of cracked concrete on bond", J. Struct. Eng., ASCE, 117(1), 1-18. https://doi.org/10.1061/(ASCE)0733-9445(1991)117:1(1)
  13. Jiang, D.H., Shah, S.P. and Andonian, A.T. (1984), "Study of the transfer of tensile forces by bond", Proc. J., ACI, 81(3), 251-259.
  14. Mains, R.M. (1951), "Measurement of the distribution of tensile and bond stresses along reinforcing bars", Proc. J., ACI, 48(3), 225-252.
  15. Nilson, A.H. (1972), "Internal measurement of bond slip", Proc. J., ACI, 69(7), 439-441.
  16. Standards Australia International (2001), Concrete Structures (AS3600-2001), Sydney, Australia.
  17. STRAND6 (1993), Finite Element Analysis System, G+D Computing Pty Ltd, New South Wales, Australia.
  18. Stewart, R.A. (1997), "Crack widths and cracking characteristics of simply supported and continuous reinforced concrete box beams", B. Eng Thesis, School of Engineering, Griffith University, Gold Coast, Australia.
  19. Venkateswarlu, B. and Gesund, H. (1972), "Cracking and bond slip in concrete beams", J. Struct. Div., Proceedings, American Society of Civil Engineers, 98(ST11), 2663-2885.
  20. Watstein, D. and Parsons, D.E. (1943), "Width and spacing of tensile cracks in axially reinforced concrete cylinders", Journal of Research, National Bureau of Standards, 31(RP1545), 1-24. https://doi.org/10.6028/jres.031.001
  21. Zienkiewicz, O.C. (1977), The Finite Element Method, Third Edition, McGraw-Hill.

피인용 문헌

  1. Crack width in concrete using artificial neural networks vol.52, 2013, https://doi.org/10.1016/j.engstruct.2013.03.020
  2. Modelling the degradation of vibration characteristics of reinforced concrete beams due to flexural damage vol.22, pp.6, 2015, https://doi.org/10.1002/stc.1726
  3. Advances in serviceability and strength of normal- and high-strength concrete structures vol.8, pp.4, 2006, https://doi.org/10.1002/pse.220
  4. Factors Influencing Spacing and Width of Cracks in Reinforced Concrete; New Prediction Formulae vol.7, pp.1, 2004, https://doi.org/10.1260/136943304322985756
  5. Fracture energy-based model for average crack spacing of reinforced concrete considering size effect and concrete strength variation vol.148, 2017, https://doi.org/10.1016/j.conbuildmat.2017.05.082
  6. Crack Width and Propagation in Recycled Coarse Aggregate Concrete Beams Reinforced with Steel Fibres vol.10, pp.21, 2020, https://doi.org/10.3390/app10217587