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A Characteristic Study on Shear Strength of Reinforced Concrete Beams according to Shear Reinforcement Ratio and Beam Section Size

전단철근비와 보의 단면크기에 따른 철근콘크리트 보의 전단강도 특성 연구

  • 노형진 (금오공과대학교 건축학부) ;
  • 유인근 (금오공과대학교 건축학부) ;
  • 이호경 (금오공과대학교 건축학부) ;
  • 백승민 (금오공과대학교 건축학부) ;
  • 김우석 (금오공과대학교 건축학부) ;
  • 곽윤근 (금오공과대학교 건축학부)
  • Received : 2019.03.19
  • Accepted : 2019.05.30
  • Published : 2019.06.30

Abstract

The purpose of this study is to investigate the shear strength of reinforced concrete beam according to beam section size and shear reinforcement ratio. A total of nine specimens were tested and designed concrete compressive strength is 24 MPa. The main variables are shear reinforcement ratio and beam section size fixed with shear span to depth ratio (a/d = 2.5), the tensile reinforcement ratio (${\rho}=0.013$) and width to depth ratio (h/b = 1.5). The test specimens were divided into three series of S1 ($225{\times}338mm$), S2 ($270{\times}405mm$) and S3 ($315{\times}473mm$), respectively. The experimental results show that all specimens represent diagonal tensile failure. For $S^*-1$ specimens (d/s=0), the shear strength decreased by 33% and 46% with increasing the beam effective depth, 26% and 33% for $S^*-2$ specimens (d/s=1.5) and 16% and 20% for $S^*-3$ specimens (d/s=2.0) respectively. As the shear reinforcement ratio increases, the decrease range in shear strength decreases. In other words, this means that as the shear reinforcement ratio increases, the size effect of concrete decreases. In the S1 series, the shear strength increased by 39% and 41% as the shear reinforcement ratio increased, 54% and 76% in the S2 series and 66% and 100% in the S3 series, respectively. As the effective depth of beam increases, the increase range of shear strength increases. This means that the effect of shear reinforcement increases as the beam effective depth increases. As a result of comparing experimental values with theoretical values by standard equation and proposed equation, the ratio by Zsutty and Bazant's equation is 1.30 ~ 1.36 and the ratio by KBC1 and KBC2 is 1.55~.163, respectively. Therefore, Zsutty and Bazant's proposed equation is more likely to reflect the experimental data. The current standard for shear reinforcement ratio (i.e., $S_{max}=d/2$) is expected to be somewhat relaxed because the ratio of experimental values to theoretical values was found to be 1.01 ~ 1.44 for most specimens.

Keywords

Acknowledgement

Supported by : 한국연구재단

References

  1. ACI Committee 318. (2014) Building Code Requirements for Structural Concrete (ACI 318-14). American Concrete Institute.
  2. Architectural Institute of Korea. (2016) Korean building Code and Commentary.
  3. Bazant Z. P. (1997). Fracturing Truss Model Size Effect in Shear Failure of Reinforced Concrete, Journal of Engineering Mechanics Vol. 123, No. 12. 1276-1288 https://doi.org/10.1061/(ASCE)0733-9399(1997)123:12(1276)
  4. Baek, S. M., Kim, W. S., Kang, H. K., & Kwak, Y. K. (2013). An Experimental Assessment on Shear Behavior of High Strength Recycled Coarse Aggregate Concrete Beams, Journal of the Architectural Institute of Korea Structure & Construction, Vol. 29, No. 4, 27-36 https://doi.org/10.5659/JAIK_SC.2013.29.4.27
  5. Bazant, Z. P., & Yu, Q. (2005). Designing Against Size Effect on Shear Strength of Reinforced Concrete Beams without Stirrups I. Formulation, ASCE Journal of Structural Engineering, Vol. 131, NO. 12, 1877-1885 https://doi.org/10.1061/(ASCE)0733-9445(2005)131:12(1877)
  6. CSA. (2014) Design of Concrete Structures (CSA A23.3-14), Canadian Standards Association.
  7. Chung, H. S. (2003). A Study on the Shear Behavior and Size Effects of Reinforced High-Strength Concrete Deep Beams, Final Report of Specific Fundamental Research, Korea Science and Engineering Foundation, 145
  8. Jeong, C. Y. (2016). Prediction of Shear Strength of Reinforced Concrete Beams without Shear Reinforcement considering Bond Action of Longitudinal Bars and Size Effect, Ph.D Thesis. Kongju University.
  9. Kani, G. N. J. (1967). How Safe Are Our Large Reinforced Concrete Beams?, Journal of American Concrete Institute, Vol. 64, No. 12, 129-141
  10. Kim, S. W., Jeong, C. Y., Jung, C. K., & Kim, K. H. (2012). Shear Behavior of Reinforced Concrete Beams according to Replacement Ratio of Recycled Coarse Aggregate, Journal of the Korea Concrete Institute, Vol. 24, No. 2, 157-164 https://doi.org/10.4334/JKCI.2012.24.2.157
  11. Kim, W. S., Lee, H. K., Baek, S. M., & Kwak, Y. K. (2014). Evaluation of Shear Performance According to Size Effect of Recycled Aggregate RC Members, Architectural Institute of Korea Conference proceedings, Vol. 34, No. 1, 305-306
  12. Kim, B. P., Shin, W. C., Lee, H. K., Baek, S. M., Kim, W. S., & Kwak, Y. K. (2017). Evaluation of Shear Behavior According to Size Effect of Reinforced Concrete Beams Using Recycled Coarse Aggregates, Journal of the Architectural Institute of Korea Structure & Construction, Vol. 33, No. 10, 3-11 https://doi.org/10.5659/JAIK_SC.2017.33.10.3
  13. Lee, H. K., Gong, H. M., Baek, S. M., Kim, W. S., & Kwak, Y. K. (2017). An Experimental Study on the Size Effect of Reinforced Concrete Members with Stirrups using Recycled Coarse Aggregates, J. of Korea Society of Waste Management, Vol. 34, No. 2, 188-198 https://doi.org/10.9786/kswm.2017.34.2.188
  14. Lee, Y. J., Seo, W. M., Kim, J. K., & Park, C. J. (1996). Effect of Concrete Strength on Stirrup Effectiveness in Shear Behavior of Concrete Beams, Journal of the Korea Concrete Institute, Vol. 8, No. 6, 173-182
  15. Park, K. B. (2016). The Size Effect of Reinforced Concrete Beams Using High-Strength Stirrups, Master Thesis. Yeungnam University.
  16. Park, K. H., & Yeom, D. W. (1996). Size Effect on the Shear Strength of High Strength Reinforced Concrete Short Beams without Stirrup, Journal of the Architectural Institute of Korea, Vol. 16, No. 2, 529-536
  17. Rhee, C. S., Shin, G. O., & Kim, W. (2006). Decomposition of Shear Resistance Components in Reinforced Concrete Beams, Journal of the Korea Concrete Institute, Vol. 18. No. 6, 819-825 https://doi.org/10.4334/JKCI.2006.18.6.819
  18. Rios R. D., & Riera, J. D. (2004). Size effects in the analysis of reinforced concrete structures, Engineering Structures 26, 1115-1125 https://doi.org/10.1016/j.engstruct.2004.03.012
  19. Sin, J. L., Kwon, W. H., Kwon, K. H., Kwak, Y. K., & Roh, H. I. (1996). An Experimental Study on the Shear Behavior of Reinforced High Strength Lightweight Concrete Beams, Architectural Institute of Korea, Vol. 16, No. 1, 297-301
  20. Song, H. W., Ha, J. H., & Byun, K. J. (1998). Size Effects in Shear Strength of Reinforced Concrete Beams without Web Reinforcement, Journal of the Korea Concrete Institute, Vol. 10, No. 6, 179-190
  21. Yang, K. H., & Shim, H. J. (2006). Size Effects in Reinforced Concrete Continuous Deep Beams without Shear Reinforcements, Journal of the Architectural Institute of Korea, Vol. 22, No. 1, 3-10
  22. Yang, K. H., Eun, H. C., & Chung, H. S. (2001). The Prediction on the Shear Strength of Reinforced Concrete Deep Beams Included Size Effect, Journal of the Architectural Institute of Korea, Vol. 17, No. 12, 35-44
  23. Zararis, P. D., & Papadakis, G. C. (2001). Diagonal Shear Failure and Size Effect in RC Beams without Web Reinforcement, Journal of Structural Engineering, Vol. 127, No. 7, 733-742 https://doi.org/10.1061/(ASCE)0733-9445(2001)127:7(733)
  24. Zsutty, T. C. (1971). Shear Strength Prediction for Separate Categories of Simple Beam Tests, Journal of American Concrete Institute, Vol. 68, No. 15, 138-143