Evaluation of Crack Width Based on the Actual Bond Stress-Slip Relationship in Structural Concrete Members

부착응력-미끌림 관계에 기반한 철근콘크리트 부재의 균열폭 산정

  • Kim, Woo (Dept. of Civil Engineering, Chonnam National University) ;
  • Lee, Ki-Yeol (Dept. of Civil Engineering, Chonnam National University) ;
  • Kim, Jang-Hyun (Dept. of Civil Engineering, Chonnam National University)
  • 김우 (전남대학교 토목공학과) ;
  • 이기열 (전남대학교 토목공학과) ;
  • 김장현 (전남대학교 토목공학과)
  • Published : 2006.02.28


This paper presents an analytical model for evaluation of crack widths in structural concrete members. The model is mathematically derived from the actual bond stress-slip relationships between the reinforcement and the surrounding concrete, and the relationships summarized in CEB-FIP Model Code 1990 are employed in this study together with the assumption of a linear slip distribution along the interface at the stabilized cracking stage. With these, the actual strains of the steel and the concrete are integrated respectively along the embedment length between the adjacent cracks so as to obtain the difference in the axial elongation. The model is applied to the test specimens available in literatures, and the predicted values are shown to be in good agreement with the experimentally measured data.


  1. Goto, Y. and Otsuka, K., 'Studies on Internal Cracks Forrned in Concrete Around Defonned Tension Bars', ACI Structural Journal, Vol.68, No.4, April 1971, pp.244-251
  2. Leonhardt, F., Crack Control in Concrete Structures, IABSE Surveys No.S-4177, Zurich, 1977
  3. Broms, B. B., 'Crack Width and Crack Spacing in Reinforced Concrete Members', ACI Structural Journal, Vol.62, No.9, October, 1965, pp.1237-1256
  4. Chan, H. C., Cheung, Y. K., and Huang, Y. P., 'Crack Analysis of Reinforced Concrete Tension Members', ASCE Journal of Structural Engineering, Vol.18, No.8, August 1992, pp.2118-2131
  5. Gergely, P. and Lutz, L.A., Maximum Crack Width in Reinforced Concrete Flexural Members, Causes, Mechanism, and Control of Cracking in Concrete ACI Special Publication SP-20, ACI, Michigan, 1968, pp.87-117
  6. ACI Committee 318, Building Code Requirement for Structural Concrete and Commentary, ACI, Detroit, 2002
  7. European Committee for Standardization, Eurocode 2-Design of Concrete Structures, CEN, Brussels, 2002
  8. CEB-FIP, CEB-PIP Model Code 1990, Comite Euro-International Du Beton, Paris, 1991
  9. 한국콘크리트학회, 건설교통부제정 콘크리트구조설계 기준 해설, 한국콘크리트학회, 2003
  10. Balazs, G., 'Cracking Analysis Based on Slip and Bond Stresses', ACI Material Journal, Vol.90, No.4, July- August 1993. pp.340- 348
  11. Shunsheng, Y. and Jiakui, C., 'Bond Slip and Crack Width Calculations of Tension Members', ACI Structural Journal, Vol.85, No.4, July-August 1988, pp.414-422
  12. Russo, G. and Romano, F., 'Cracking Response of RC Members Subjected to Uniaxial Tension', ASCE Journal of Structural Engineering, Vol.118, No.5, May 1992, pp.1172-1190
  13. Beeby, A. W., 'Predicting of Crack Width in Hardened Concrete', Structural Engineer, Vol.57A, No.1, January 1979, pp.9-17
  14. Lorrain, M., Maurel, O., and Seffo, M., 'Cracking Behavior of Reinforced High-Strength Concrete Tension Ties', ACI Structural Journal, Vol.95, No. 5, September-October 1998, pp.626-635
  15. Jaccoud, J.P., Charit, H., and Farra, B., 'Cracking Behavior of HSC Structures and Practical Consequences for Design', 3'rd International Symposium on Utilization of High-Strength Concrete, CEB-FIP, Lillehanmmer, 1992, pp.225-232
  16. Nawy, E. G., 'Crack Control in Reinforced Concrete Structures', ACI Structural Journal, Vol.65, No.10, October 1968, pp.825-836
  17. fib Task Group Bond Model, 'Bond of Reinforcement in Concrete', State-of-Art Report Bulletin 10, International Federation for Structural Concrete(fib), Switzerland, 2000
  18. Huang, Z., Engstrom, B., and Magnusson, J., 'Experimental Investigation of the Bond and Anchorage Behavior of Deformed Bar in High Strength Concrete', Fourth International Symposium on the Utilization of High Strength/ Performance Concrete, Paris, 1996, PP.1115-1124
  19. Jiang, D. H., Shah, S. P., and Andonian, A. T., 'Study of the Transfer of Tensile Forces by Bond', ACI Structural Journal, Vol.81, No.3, May-June 1984, pp.251 -259
  20. Scott, R. H. and Gill, P. A. T., 'Short-Term Distributions of Strain and Bond Stress along Tension Reinforcement', Structural Engineer, Vol. 65B, No.2, June 1987, pp.39-43
  21. Yannopoulos, P. J., 'Variation of Concrete Crack Width Through the Concrete Cover to Reinforcement', Magazine of Concrete Research, Vol.41, No.147, June 1989, pp.63-68
  22. Bilal, S. H. and Mohamad, H. H., 'Effect of Fiber Reinforcement on Bond Strength of Tension Lap Splices in High-Strength Concrete', ACI Structural Journal, Vol.98, No.5, September-October 2001, pp.638-647
  23. 강영진, 오병환, '철근콘크리트 휨부재의 균열폭 및 균열간격의 결정', 대한토목학회 논문집, 5권 4호, 1985, pp.103-111
  24. 고원준, 박선규, '부착특성을 고려한 철근콘크리트 부재의 휨 균열폭 산정', 대한토목학회 논문집, 22권 4-A호, 2002, pp.825-835
  25. fib, Structural Concrete - Manual Textbook Volume 2, International Federation for Structural Concrete (fib), Switzerland, 1999

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