DOI QR코드

DOI QR Code

A Simple Model for the Nonlinear Analysis of an RC Shear Wall with Boundary Elements

경계요소를 가진 철근콘크리트 전단벽의 비선형 해석을 위한 간편 모델

  • Received : 2011.05.12
  • Accepted : 2011.07.25
  • Published : 2011.08.31

Abstract

A simple model for reinforced concrete shear walls with boundary elements is proposed, which is a macro-model composed of spring elements representing flexure and shear behaviors. The flexural behaviour is represented by vertical springs at the wall ends, where the moment strength and rotational capacity of the wall are based on section analysis. The shear behaviour is represented by a horizontal spring at the wall center, where the key parameters for the shear behavior are based on the flexural behaviour since the shear walls with boundary elements are governed by the flexure. The proposed model was prepared with the results of hysteretic tests of the shear walls, and then the reliability of the hysteretic rule and variables was investigated by nonlinear dynamic analyses. Using parametric study with nonlinear dynamic analyses, the effect of the variables on demand and capacity, which are major parameters in seismic performance evaluation, are investigated. Results show that the measured and calculated shear forces versus the shear distortion relationships are slightly different, but the global response is well simulated. Furthermore, the demand and capacity are also changed in a similar way to the change in the major parameters so that the proposed model may be appropriate for reinforced concrete shear walls with boundary elements.

경계요소를 가지는 철근콘크리트 전단벽의 비선형 해석을 위한 간편 모델을 제안하였다. 이 간편 모델은 전단벽의 휨 및 전단 거동을 스프링요소로 나타낸 거시적 모델이다. 휨거동은 벽체의 단면해석을 기초로 한 모멘트강도와 회전능력을 벽체 양단의 수직 스프링요소로 나타내었다. 경계요소를 가지는 전단벽은 휨거동에 의해 지배되므로 전단거동은 휨거동에 바탕하여 변수를 계산하였고 중앙부 수평 스프링요소로 나타내었다. 제안된 모델은 전단벽 정적이력시험 결과와 비교한 후 비선형동적해석을 수행하여 사용된 이력법칙 및 변수들의 타당성을 조사하였다. 비선형동적해석을 이용한 변수연구를 통하여 내진성능평가의 주요변수인 요구값과 성능값에 미치는 영향을 검토하였다. 그 결과 전단력-전단변형 관계에서 약간의 차이가 있지만 전단벽의 전체거동은 잘 일치하였으며, 주요 변수의 변화에 대해 요구값과 성능값도 일정하게 변화하므로 제안된 해석모델은 경계요소를 가진 철근콘크리트 전단벽에 알맞은 것으로 판단된다.

Keywords

References

  1. FEMA 273, NEHRP guidelines for the seismic rehabilitation of buildings, Federal Emergency Management Agency, Washington, D.C., 1997.
  2. Foutch, D., Shi, S., and Yun, S.Y., Element 10: A stiffness and strength degrading element developed for the SAC steel program, distributed with DRAIN-2DX by the National Information Service for Earthquake Engineering, available from http://nisee.berkeley.edu/software/drain2dx/, 2003.
  3. Prakash, V., Powell, G., and Campbell, S., DRAIN-2DX base program description and user guide - Version 1.10, Report No. UCB/SEMM-93/17 and 93/18, Structural Eng. Mechanics and Materials, Dept. of Civil Eng., Univ. of California, Berkeley, California, 1993.
  4. Erbay, O., and Aschheim, M., Element 07: A stiffness-degrading/ pinching element intended for reinforced concrete members, distributed with DRAIN-2DX by the National Information Service for Earthquake Engineering, available from http://nisee.berkeley.edu/software/drain2dx/, 2003.
  5. Wallace, J.W., and Moehle, J.P., "Ductility and Detailing Requirements of Bearing Wall Buildings," Journal of Structural Engineering, ASCE, Vol. 118, No. 6, 1625-1644, 1992. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:6(1625)
  6. Wallace, J.W., "New Methodology for Seismic Design of Reinforced Concrete Shear Walls," Journal of Structural Engineering, ASCE, Vol. 120, No. 3, 863-884, 2004.
  7. 대한건축학회, 건축구조기준 및 해설, KBC 2009, 2009.
  8. ACI 318, Building Code Requirements for Structural Concrete (ACI 318-08) and Commentary (318R-08), American Concrete Institute, Farmington Hills, Michigan, 2008.
  9. 강수민, 김재요, "철근콘크리트 특수전단벽의 변위기초설계를 위한 항복변형성능 평가," 대한건축학회논문집, 제26권, 제10호, 69-79, 2010.
  10. Vulcano, A., and Bertero, V.V., Analytical models for predicting the lateral response of RC shear walls: Evaluation of their reliability, Report No. UCB/EERC-87/19, EERC, University of California, Berkeley, California, 1987.
  11. Linde, P., Numerical modeling and capacity design of earthquake‐resistant reinforced concrete walls, Report No. 200, Institute of Structural Engineering, Swiss Federal Institute of Technology (ETH), Zurich, Birkhauser, Basel, 1993.
  12. Kabeyasawa, T., Shiohara, H., and Otani, S., "US-Japan cooperative research on R/C full‐scale building test, Part 5: Discussion on dynamic response system," 8th World Conference on Earthquake Engineering, Vol. 6, San Francisco, California, 627-634, 1984.
  13. Vulcano, A., Bertero, V.V., and Colotti, V., Analytical modeling of R/C structural walls, Report No. UCB/EERC-88/17, EERC, University of California, Berkeley, California, 1988.
  14. Orakcal, K., Conte, J.P., and Wallace, J.W., "Nonlinear modeling of RC structural walls," 7th US National Conference on Earthquake Engineering, Boston, Massachusetts, 2002.
  15. Hueste, M.B.D., and Wight, J.K., "Evaluation of a four-story reinforced concrete building damaged during the Northridge Earthquake," Earthquake Spectra, Vol. 13, No. 3, 387-414, 1997. https://doi.org/10.1193/1.1585954
  16. Massone, L.M., and Wallace, J.W., "Load-deformation responses of slender reinforced concrete walls," ACI Structural Journal, Vol. 101, No. 1, 103-113, 2004.
  17. Alama, M.S., and Wight, J.K., Numerical modeling and parametric investigation of R/C coupled wall‐frame systems under seismic loading, Report UMCEE 92-20, University of Michigan, Ann Arbor, Michigan, 1992.
  18. ICC International building code, International Code Council Inc. Falls Church, Virginia, 2000.
  19. Kim, T.W., Foutch, D.A., LaFave, J.M., and Wilcoski, J., "Performance assessment of reinforced concrete structural walls for seismic loads," Structural Research Series - No. 634, Dept. of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois, 2004.
  20. Kent, D.C., and Park, R., "Flexural members with confined concrete," Journal of Structural Division, ASCE, Vol. 97, No. 7, 1969-1990, 1971.
  21. Mander, J.B., Priestley, M.J.N., and Park, R., "Theoretical stress-strain model for confined concrete," Journal of Structural Engineering, ASCE, Vol. 114, No. 8, 1804-1825, 1988. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:8(1804)
  22. Burns, N.H., and Siess, C.P., "Load-deformation characteristics of beam-column connections in reinforced concrete," Structural Research Series - No.234, Department of Civil Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois, 1962.
  23. Otani, S., Kabeyasawa, T., Shiohara, H., and Aoyama, H., "Analysis of the full scale seven story reinforced concrete test structure," Earthquake Effects on Reinforced Concrete Structures: US-Japan Research, SP-84, American Concrete Institute, Detroit, Michigan, 1985.
  24. Wang, T.Y., Bertero, V.V., and Popov, E.P., Hysteretic Behavior of Reinforced Concrete Framed Walls, Report No. UCB/EERC-75/23, EERC, University of California, Berkeley, 1975.
  25. Oesterle, R.G., Fiorato, A.E., Johal, L.S., Carpenter, J.E., Russel, H.G., and Corley, W.G., Earthquake Resistant Structural Walls - Test of Isolated Walls, Report to National Science Foundation, Portland Cement Association, Skokie, IL, 1976.
  26. Thomsen, J.H., and Wallace, J.W., Displacement-Based Design of Reinforced Concrete Structural Walls: An Experimental Investigation of Walls with Rectangular and T-Shaped Cross-Sections, Report No. CU/CEE-95/06, Department of Civil and Environmental Engineering, Clarkson University, 1995.
  27. Somerville, P., Smith, N., Puntamurthula, S., and Sun, J., Development of ground motion time histories for phase 2 of the FEMA/SAC steel project, SAC Background Document Report No. SAC/BD-97/04, SAC Joint Venture, Richmond, California, 1997.
  28. Luco, N., and Cornell, C.A., "Effects of random connection fractures on the demands and reliability for a 3-story pre-Northridge SMRF structure," Proc., 6th US National Conference on Earthquake Engineering, Seattle, Washington, 1998.