Journal of the Korea Concrete Institute (콘크리트학회논문집)

Korea Concrete Institute (한국콘크리트학회)
권호 표지
DOI QR코드

DOI QR Code

Shear Behavior Prediction of Reinforced Concrete Beams by Transformation Angle Truss Model Considered Bending Moment Effect

휨모멘트 효과가 고려된 변환각 트러스 모델에 의한 철근콘크리트 보의 전단거동 예측

  • Published : 2002.12.01
Download PDF
⟨ Previous Next ⟩

Abstract

For the prediction of shear behavior of reinforced concrete beams, this paper proposed Transformation Angle Truss Model (TATM) considered bending moment effect. Shear stress-strain relationship obtained from the TATM was agreed well with test results conducted by this study Further, shear strength obtained from the TATM was compared to the experimentally observed results of 170 reinforced concrete beams which had various shear span ratios shapes of support and shapes of cross section. The shear strength of reinforced concrete beams obtained from test was better predicted by the TATM with 0.96 in average and 11.9％ in coefficient of variation than by other truss models. And the ratio of experimental results to theoretical results obtained from the TATM was almost constant regardless of the η and a/d.

철근콘크리트 보의 전단거동을 예측하기 위하여 휨모멘트가 고려된 변환각 트러스 모델(TATM)을 제안하였다. 제안된 TATM으로 구한 전단응력-전단변형률 관계는 본 연구에서 수행된 실험결과와 잘 일치하였다. 또한, TATM으로 구한 전단강도는 다양한 전단스팬비와 지점형태 및 단면형태를 가지는 총 170개 실험결과와 비교되었다. TATM에 의한 해석결과는 평균 0.96, 변동계수 11.9 %로서 기존의 트러스 모델에 의한 해석결과보다 실험결과를 더 잘 예측하였으며, 해석결과에 대한 실험결과의 비는 a/d와 η에 관계없이 거의 일정하였다.

Keywords

References

  1. F. J. Vecchio and M. P. Collins, "The Modified Compression-Field Theory for Reinforced Concrete Elements Subjected to Shear," ACI Structural Journal, Vol. 83, No.2, Mar.-Apr .1986, pp.219-231.
  2. T. T. C. Hsu, "Softened Truss Model Theory for Shear and Torsion," ACI Structural Journal, Vol. 85, No.6, Nov.-Dec. 1988, pp.624-635.
  3. T. T. C. Hsu, "Nonlinear Analysis of Concrete Membrane Elements," ACI Structural Journal, Vol. 88, No. 5, Sep.-Oct. 1991, pp.552-561.
  4. X. B. Pang and T. T. C. Hsu, "Fixed Angle Softened Truss Model for Reinforced Concrete," ACI Structural Journal, Vol. 93, No. 2, Mar. - Apr. 1996, pp.197-207.
  5. T. T. C. Hsu and L. X. Zhang, "Nonlinear Analysis of Membrane Elements by Fixed-Angle Softened- Truss Model," ACI Structural Journal, Vol. 97, No. 5, Sep.-Oct. 1997, pp.483-492.
  6. 김상우, 이정윤, "변환각 트러스 모델에 의한 철근콘크리 보의 전단거동 예측에 관한 연구," 한국콘크리트학회논문집, 제13권 2호, 2001. 4, pp. 130-138.
  7. 이정윤, "고정각 연화 트러스 모델의 적용 한계에 대한 연구," 한국콘크리트학회논문집, 제12권 5호, 2000. 10, pp.81-92.
  8. F. Watanabe and J.-Y. Lee, "Theoretical Prediction of Shear Strength and Ductility of Reinforced Concrete Beams," ACI Structural Journal, Vol. 95, No.6, Nov.-Dec. 1998, pp.749-757.
  9. B. Li, K. Maekawa, and H. Okamura, "Contact Density Model for Stress Transfer Across Cracks in Concrete," Journal of the Faculty of Engineering, Vol. 40, No.1, 1989, pp.9-52.
  10. R. R. H. Zhu, T. T. C. Hsu, and J. -Y. Lee, "Rational Shear Modulus for Smeared Crack Analysis of Reinforced Concrete," ACI Structural Journal, Vol. 98, No.4, July-Aug. 2001, pp.443-450.
  11. M. P. Collins and D. Mitchell, "Prestressed Concrete Structures," Prentice Hall, Inc., Englewood Cliffs, New Jersey, 1991, 766 pp.
  12. E. G. Nawy, "Prestressed Concrete :A Fundamental Approach," 2nd ed., Prentice Hall, Inc., Upper Saddle River, New Jersey, 1996, 789pp.
  13. P. Y. L. Kong and B. V. Rangan, "Shear Strength of High-Performance Concrete Beams," ACI Structural Journal, Vol. 95, No. 6, Nov.-Dec. 1998, pp.677-688.
  14. A. P. Clark, "Diagonal Tension in Reinforced Concrete Beams," ACI Journal, Proceedings Vol. 48, No. 2, Oct. 1951, pp.145-156.
  15. A. H. Mattock and Z. Wang, "Shear Strength of Reinforced Concrete Members Subject to High Axial Compressive Stress," ACI Structural Journal, Vol. 81, No.3, May-June 1984, pp.287-298.
  16. O. Moretto, "An Investigation of the Strength of Welded Stirrups in Reinforced Concrete Beams," ACI Journal, Proceedings Vol. 42, No. 2, Nov. 1945, pp. 141-162.
  17. A. Placas and P. E. Regan, "Shear Failure of Reinforced Concrete Beams," ACI Journal, Proceedings Vol. 68, No. 10, Oct. 1971, pp.763-773.
  18. S. A. Guralnick, "High-Strength Deformed Steel Bars for Concrete Reinforcement," ACI Journal, Proceedings Vol. 57, No.3, Sep. 1960, pp.241-282.
  19. M. J. Haddadin, S.-T. Hong, and A. H. Mattock, "Stirrup Effectiveness in Reinforced Concrete Beams with Axial Force," Proceedings, ASCE, Vol. 97, No. ST9, Sep. 1971, pp.2277-2297.
  20. R. C. Elstner, K. G. Moody, I. M. Viest, and E. Hognestad, "Shear Strength of Reinforced Concrete Beams. Part3 - Tests of Restrained Beams with Web Reinforcement," ACI Journal, Proceedings Vol. 51, No. 6, Feb. 1955, pp.525-539.
  21. S. Kokusho, K. Kobayashe, S. Mitsugi, and H. Kumagai, "Ultimate Shear Strength of RC Beams with High Tension Shear Reinforcement and High Strength Concrete," Journal of the Structural Construction Engineering, AIJ, No. 373, Mar. 1987, pp.83-91.
  22. H. Takagi, H. Okude, and T. Nitta, "Shear Strength of Beam Depending the Strength of Web Reinforcements," Proceedings, JCI, Vol.11, No. 2, 1989, pp.75-80.
  23. N. Nishiura, E. Makitani, and K. Shindou, "Shear Resistance of Concrete Beams with High Strength Web Reinforcements," Proceedings, JCI, Vol. 15, No. 2, 1993, pp.461-466.
  24. Y. Matsuzaki, K. Nakano, M. Iso, and H. Watanabe, "Experimental Study on the Shear Characteristic of RC Beams with High Tension Shear Reinforcement," Proceedings, JCI, Vol. 12, No. 2, 1990, pp.325-328.
  25. M. Fukuhara and S. Kokusho, "Effectiveness of High Tension Shear Reinforcement in Reinforced Concrete Members," Journal of the Structural Construction Engineering, AIJ, No. 320, Oct. 1982, pp.12-20.
  26. J. J. Rodriguez, A. C. Bianchini, I. M. Viest, and C. E. Kesler, "Shear Strength of Two-Span Continuous Reinforced Concrete Beams," ACI Journal, Proceedings Vol. 55, No. 10, Apr. 1959, pp.1089-1130.

Cited by

  1. Nonlinear Analysis of Shear-Critical Reinforced Concrete Beams Using Fixed Angle Theory vol.137, pp.10, 2011, https://doi.org/10.1061/(ASCE)ST.1943-541X.0000345