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Modeling of Tension Stiffening Effect Based on Nonlinear Bond Characteristics in Structural Concrete Members

비선형 부착 특성에 기반한 철근콘크리트 부재의 인장증강효과 모델

  • Lee, Gi-Yeol (Dept. of Civil Engineering, Chonnam National University) ;
  • Ha, Tae-Gwan (Hanyang Corporation) ;
  • Kim, Woo (Dept. of Civil Engineering, Chonnam National University)
  • Published : 2007.12.31

Abstract

This paper presents a unified modeling technique for tension stiffening effect in structural concrete members. The model is mathematically derived from the bond stress-slip relationships which account for splitting crack. The relationships in CEB-FIP Model Code 1990 and Eurocode 2 are employed together with the assumptions of a linear slip distribution along the interface and the uniform condition of concrete tensile contribution for the mid section of cracked member at the stabilized cracking stage. With these assumptions, a model of tension stiffening effect is proposed by accounting for the force equilibrium and strain compatibility condition associated to the steel strain and concrete contribution by bond stress. The model is applied to the test results available in literatures, and the predicted values are shown to be in good agreement with the experimentally measured behavior.

이 논문은 철근콘크리트 구조 부재의 인장증강효과에 대한 해석적 모델을 제안한 것이다. 이 모델의 정식화를 위해 철근과 콘크리트 경계면에서 발생하는 실제와 유사한 형태의 부착응력과 미끌림 특성과 쪼갬균열의 영향을 고려하였다. 균열 안정화 단계에서의 철근 경계면 미끌림 분포를 선형으로 가정하고, 균열이 발생한 부재의 중앙 단면에서 콘크리트의 분담력이 일정하다는 조건을 CEB-FIP Model Code 1990 및 Eurocode 2에서 제시하고 있는 부착응력-미끌림 관계에 적용하였다. 이로부터 균열 안정화단계에서 부착응력에 의해 철근의 매입길이 방향으로 변화하는 철근의 변형률과 콘크리트 분담력을 계산할 수 있는 평형방정식을 유도하고, 변형적합조건을 고려하여 철근의 평균 변형률과 콘크리트 평균 분담력으로 동시에 표현이 가능한 인장강성 계수를 제안하였다. 이로부터 새롭게 정식화된 인장증강효과 모델을 기존 문헌에 발표된 여러 연구자들의 실험 자료에 적용하여 그 정확성을 검증한 결과, 제안식에 의한 예측값은 실험값을 비교적 정확하게 예측하는 것으로 나타났다.

Keywords

References

  1. Kelvin, F. and Peter, H. B., 'Tension Stiffening and Cracking of High-Strength Reinforced Concrete Tension Members', ACI Structural Journal, Vol.101, No.4, 2004, pp.447-456
  2. Fib, Structural Concrete-Volume 2, International Federation for Structural Concrete, Switzerland, 1999, pp. 75-91
  3. CEB-FIP, CEB-FIP Model Code for Concrete Structures, Comite Euro-International Du Beton, Paris, 1978, 378pp
  4. CEB-FIP, CEB-FIP Model Code 1990, Comite Euro-International Du Beton, Paris, 1991, pp.87-109
  5. European Committee for Standardization, Eurocode 2-Design of Concrete Structures, European Committee for Standardization, Brussels, 2002, 130pp
  6. Collins M. P. and Mitchell D., Prestressed Concrete Structures, Prentice Hall, New Jersey, 1996, 146pp
  7. Belarbi, A. and Hsu, T. T. C., 'Constitutive Laws of Concrete in Tension and Reinforcing Bars Stiffened by Concrete', ACI Structural Journal, Vol.91, No.4, 1994, pp. 465-474
  8. Johnson, A. I., Deformation of Reinforced Concrete, International Association for Bridge and Structural Engineering Publications, Vol.11, 1951, pp.253-290
  9. Leonhardt, F., Crack Control in Concrete Structures, IABSE Surveys No.S-4/77, Zurich, 1977, 26pp
  10. Balazs, G, 'Cracking Analysis Bases on Slip and Bond Stresses', ACI Materials Journal, Vol.90, No.4, 1993, pp.340-348
  11. Russo, G. and Romano, F., 'Cracking Response of RC Members Subject to Uniaxial Members', ASCE Journal of Structural Engineering, Vol.118, No.5, 1992, pp.1172-1190 https://doi.org/10.1061/(ASCE)0733-9445(1992)118:5(1172)
  12. Mirza, M. S. and Houde, J., 'Study of Bond Stress-Slip Relationships in Reinforced Concrete', ACI Journal, Vol.76, No.1, 1979, pp.19-46
  13. Jiang, D. H., Shah, S. P., and Andonian, A. T., 'Study of the Transfer of Tensile Force by Bond', ACI Journal, Vol.81, No.3, 1984, pp.251-259
  14. Harajli, M. H., Hout, M., and Jalkh, W., 'Local Bond Stress-Slip Behavior of Reinforcing Bars Embedded in Plain and Fiber Concrete', ACI Materials Journal, Vol.92, No.4, 1995, pp.343-354
  15. Huang, Z., Engstrm, B., and Magnusson, J., 'Experimental and Analytical Studies of the Bond Behavior of Deformed Bars in High Strength Concrete', 4th International Symposium on Utilization of High Strength/High Performance Concrete, Paris, 1996, pp.1115-1124
  16. Goto, Y. and Otsuka, K., 'Studies on Internal Cracks Formed in Concrete Around Deformed Tension Bars', ACI Journal, Vol.68, No.4, 1971, pp.244-251
  17. Jaccoud, J. P., Charif, 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
  18. Kim, W., Lee, K. Y., and Yum, H. S., 'Tension Stiffening Effect of High-Strength Concrete in Axially Loaded Members', KCI Concrete Journal, Vol.15, No.6, 2003, pp.915-923 https://doi.org/10.4334/JKCI.2003.15.6.915
  19. Homayoun, H. A. and Mitchell D., 'Influence of Splitting Cracks on Tension Stiffening', ACI Structural Journal, Vol.93, No.6, 1996, pp.703-710
  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, 1987, pp.39-43
  21. Yannopou1os, P. J., 'Variation of Concrete Crack Width Through the Concrete Cover to Reinforcement', Magazine of Concrete Research, Vol.41, No.147, 1989, pp.63-68 https://doi.org/10.1680/macr.1989.41.147.63
  22. Broms, B. B., 'Crack Width and Crack Spacing in Reinforced Concrete Members', ACI Journal, Vol.62, No.9, 1965, pp.1237-1256
  23. Lorrain, M., Maure1, O., and Seffo, M., 'Cracking Behavior of Reinforced High-Strength Concrete Tension Ties', ACI Structural Journal, Vol.95, No.5, 1998, pp.626-635
  24. Rizkalla, S. H. and Hwang, L. S., 'Crack Prediction for Members in Uniaxial Tension', ACI Journal, Vol.81, No.6, 1984, pp.572-579

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  2. Influence of Tension Stiffening Effect on Deflection and Crack Width in RC Members vol.22, pp.6, 2010, https://doi.org/10.4334/JKCI.2010.22.6.761
  3. Tension Stiffening Effect Considering Cover Thickness in Reinforced Concrete Tension Members vol.23, pp.6, 2011, https://doi.org/10.4334/JKCI.2011.23.6.791