Journal of the Korea Concrete Institute (콘크리트학회논문집)

Korea Concrete Institute (한국콘크리트학회)
권호 표지
DOI QR코드

DOI QR Code

Shear Behavior Prediction of Reinforced Concrete Columns Using Transformation Angle Truss Model

변환각 트러스 모델에 의한 철근콘크리트 기둥의 전단거동 예측

  • Kim Sang-Woo (Dept. of Architectural Engineering, Sungkyunkwan University) ;
  • Chai Hyee-Dae (Dept. of Architectural Engineering, Sungkyunkwan University) ;
  • Lee Jung-Yoon (Dept. of Architectural Engineering, Sungkyunkwan University) ;
  • Lee Bum-Sik (Korea National Housing Corp.)
  • Published : 2005.06.01
Download PDF
⟨ Previous Next ⟩

Abstract

This paper predicted the shear behavior of reinforced concrete columns using Transformation Angle Truss Model (TATM) considered the effects of bending moment and axial force. Nine columns with various shear span- to-depth ratios and axial force ratios were tested to verify the theoretical results obtained from TATM. Fine linear displacement transducers (LVDT) were attached to a side of the column near the shear critical region to measure the curvature, the longitudinal and transverse axial deformations, and the shear deformation of the column. The test was terminated when the value of the applied load dropped to about $85\%$ of the maximum-recorded load in the post-peak descending branch. All the columns were failed in shear before yielding of the flexural steel. The shear strength and the stiffness of the columns increased, as the axial force increased and the shear span-to-depth ratio decreased. Shear stress-shear strain and shear stress-strain of shear reinforcement curves obtained from TATM were agreed well with the test results in comparison to other truss models (MCFT, RA-STM, and FA-STM).

본 연구에서는 휨모멘트와 축력의 효과가 고려된 변환각 트러스 모델(TATM)을 이용하여 철근콘크리트 기둥의 전단거동을 예측하였다. TATM의 해석결과를 검증하기 위하여 다양한 전단경간비와 축력비를 가지는 총 9개의 철근콘크리트 기둥을 전단 실험하였다. 철근콘크리트 기둥의 곡률, 축변형 및 전단변형을 측정하기 위하여 기둥 옆면 전단위험단면을 중심으로 5개의 변위변환기(LVDT)를 설치하였다. 하중은 최대하중의 $85\%$ 이하로 떨어질 때까지 가력하였으며, 모든 실험체는 휨 철근의 항복이전에 전단파괴 되었다. 기둥의 전단강도와 강성은 축 하중이 증가할수록 증가하는 반면 전단경간비가 증가할수록 감소하였다. TATM으로부터 얻은 전단응력-전단변형률 관계와 전단응력-전단철근변형률 관계는 본 연구에서 수행된 실험결과와 잘 일치하였으며, 기존의 트러스 모델(MCFT, RA-STM, FA-STM)보다 더 우수하였다.

Keywords

References

  1. Vecchio, F. J. and Collins, M. P., '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. Hsu, T. T. C., 'Softened Truss Model Theory for Shear and Torsion,' ACI Structural Journal, Vol.85, No.6, Nov.-Dec. 1988, pp.624-635
  3. Hsu, T. T. C., 'Nonlinear Analysis of Concrete Membrane Elements,' ACI Structural Journal, Vol. 88, No.5, Sep.-Oct. 1991, pp.552-561
  4. Pang, X. B. and Hsu, T. T. C., 'Fixed Angle Softened Truss Model for Reinforced Concrete,' ACI Structural Journal, Vol.93, No.2, Mar.-Apr. 1996, pp.197-207
  5. Hsu, T. T. C. and Zhang, L. X, '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. Vecchio, F. J. and Collins, M. P., The Response of Reutorced Concrete to in-plane Shear and Normal Stresses, Publication 82-03, Dept. of Civil Engineering, University of Toronto, Toronto, Canada, 1982
  7. Vecchio, F. J. and Collins, M. P., 'Predicting the Response of Reinforced Concrete Beam Subjected to Shear Using Modified Compression Field Theory,' ACI Structural Journal, Vol.85, No.3, May-Jun. 1988, pp.258-268
  8. CSA Committe A23.3, Design of Concrete Structures : Structures(Design)-A National Standard of Canada, Canadaian Standards Assocation, Rexdale, Ontario, Dec. 1994., 199pp
  9. MSHTO Subcommittee on Bridges and Structures, AASHTO LRFD Bridge Design Specifications-U.S. Units; 2002 Interim Revisions, Second Edition, American Association of State Highway and Transportation Officials, Washington, D.C., May 2002
  10. Bentz, E. C., Sectional Analysis of Reinforced Concrete Members, Ph.D dissertation, University of Toronto, 2000
  11. Bentz, E. C. and Collins, M. P., 'http://www.civ.utoronto.ca/sect/streng/index3.html,' Web Address of Response, 2000
  12. 김상우, 이정윤, '휨모멘트 효과가 고려된 변환각 트러스 모델에 의한 철근콘크리트 보의 전단능력예측,' 콘크리트학회논문집, 14권 6호, 2002. 12, pp.910-921
  13. 김상우, 이정윤, '변환각 트러스 모델에 의한 축력을 받는 철근콘크리트 부재의 전단강도 예측,' 콘크리트학회논문집, 16권 6호, 2004. 12, pp.813-822
  14. Bresler, B. and Pister, K. S., 'Strength of Concrete Under Combined Stresses,' ACI Journal, Proceedings Vol.55, No.3, Sep. 1958, pp.321-345
  15. Park, R. and Pauley, T., Reinforced Concrete Structures, John Wiley & Sons Inc., New York, 1975, 769pp
  16. Haddadin, M. J., Hong, S.-T., and Mattock, A. H., 'Stirrup Effectiveness in Reinforced Concrete Beams with Axial Force,' Proceedings, ASCE, Vol.97, No. ST9, Sep. 1971, pp.2277-2297
  17. Li, B., Shear Transfer Behavior of Cracked Concrete Under Cyclic Leading, Ph.D dissertation, University of Tokyo, 1988, 121pp
  18. Yoshikawa, H., Wu, Z., and Tanabe, T., 'Analytical Model for Shear Slip of Cracked Concrete,' Journal of Structural Engineering, ASCE, Vol.115, No.4, April 1989, pp.771-788 https://doi.org/10.1061/(ASCE)0733-9445(1989)115:4(771)
  19. 김상우, 적합조건을 고려한 트러스 모델에 의한 철근콘크리트 부재의 전단거동 예측, 박사학위논문, 성균관대학교, 2003, 244pp

Cited by

  1. Non-linear shear analysis of reinforced concrete columns by fixed-angle theory vol.166, pp.4, 2013, https://doi.org/10.1680/stbu.10.00069