Analytical Study on Punching Shear of Reinforced Concrete Flat Plates

철근콘크리트 플랫 플레이트의 뚫림전단 거동에 관한 해석적 연구

  • Received : 2010.07.09
  • Accepted : 2010.08.05
  • Published : 2010.08.31

Abstract

A finite element model for punching shear of flat plate structures is presented. A parametric study also has been conducted to verification of influence of several parameters in terms of the flexural reinforcement ratio, slab thickness. Reisnner-Mindlin assumptions are adopted to consider of shear deformation. Layered shell element is considered for the material non-linearities. The finite element model of this study was verified comparing with existing experimental results. The model is able to predict the capacity of the flat plate structures. The punching shear of flat plate structures varied depending on the flexural reinforcement ratio, slab thickness.

본 논문에서는 플랫 플레이트 구조의 뚫림전단 거동을 평가할 수 있는 유한요소해석 모델을 제시하고 변수 해석을 통해 플랫 플레이트 구조의 뚫림전단 거동에 영향을 미치는 인자들을 파악함으로써 향후 현행 설계식 보정에 있어 기초자료를 제공함에 그 목적을 두었다. 전단변형을 고려하기 위해 Reissner-Mindlin 가정이 도입된 퇴화 쉘 요소를 선택하였으며, 철근콘크리트의 재료적 비선형 거동을 고려하기 위해 적층쉘 개념을 적용한 유한요소해석 모델을 제시하였다. 유한요소해석 모델의 신뢰성을 검증하기 위해 기존 실험결과와 비교하였으며, 그 결과 유한요소해석 모델이 실험결과를 비교적 잘 예측하는 것으로 나타났다. 제시한 유한요소해석 모델을 사용한 변수해석을 통해 휨 철근비와 슬래브의 두께가 증가할수록 플랫 플레이트의 전단강도 또한 증가하는 것을 알 수 있었다.

Keywords

References

  1. 최경규, 박홍근 (2004) 플랫플레이트-기둥 접합부의 뚫림전단 강도, 한국콘크리트학회 논문집, 16(2), pp.163-174.
  2. 최명신, 안종문, 이광수, 신성우 (2005) 플랫 플레이트 슬래브-내부기둥 접합부의 뚫림전단강도에 대한 기둥 형상비의 영향, 대한건축학회 논문집, 21(10), pp.79-86.
  3. ACI Committee 318 (2008) Building Code Requirements for Structural Concrete(ACI 318-08) and Commentary, American Concrete Institute, Farmington Hills, MI, pp.465.
  4. Albrecht, U. (2002) Design of Flat Slabs for Punching- European and North American Practices, Cement & Concrete Composites, 24, pp.531-538. https://doi.org/10.1016/S0958-9465(01)00069-5
  5. Alexander, S.D.B., Simmonds, S.H. (1992) Tests Column-Flat Plate Connections, ACI Structural Journal, 893(5), pp.495-502.
  6. Collins, M.P., Porasz, A. (1989) Shear Strength for High Strength Concrete, Bulletin D' Information, Design Aspects of High Strnegth Concrete, CEB, 193, pp.75-83.
  7. Elstner, R.C., Hognestad, E. (1956) Shearing Strength of Reinforced Concrete Slabs, ACI Structural Journal, Proceedings, 53(2), pp.29-58.
  8. Izumo, J., Shin, H., Maekawa, K., Okamura, H. (1992) An Analytical Model for RC Pannel Subjected to In-Plane Stress Concrete shear in Earthquake, Elsevier Applied Science, London and New York, pp.206-215.
  9. Izumo, J., Shin, H., Maekawa, K., Okamura, H. (1992) An Analytical Model for RC Pannel Subjected to In-Plane Stress Concrete shear in Earthquake, Elsevier Applied Science, London and New York, pp.206-215.
  10. Moe, J (1961) Shearing Strength of Reinforced Concrete Slabs and Footings under Concentrated Loads, Bulletin D45, Portland Cement Association, Skokie, pp.144.
  11. Muttoni, A. (2008) Punching Shear Strength of Reinforced Concrete Slabs without Transverse Reinforcement, ACI Structural Journal, 105(4), pp.440-450.
  12. Polak, M.A. (2005) Punching Shear in Reinforced Concrete Slabs, SP-232, American Concrete Institute, Farmington Hills, MI, pp.465.
  13. Polak, M.A. (2005) Shell Finite Element Analysis of Reinforced Concrete Plates Supported on Column, Engineering Computations : International Journal of Computer Aided Engineering and Software, in press. https://doi.org/10.1108/02644400510598750
  14. Reissner, E. (1945) The Effect of Transverse Shear Deformation on the Bending of Elastic Plate, ASME, Journal of Applied Mechanics, 12, pp.69-77.
  15. Thorenfeldt, E., Tomaszewicz, A., Jensen, J.J. (1987) Mechanical Properties of High Strnegth Concrete and Application in Design, Proceedings of the Symposium Utilization of High Strength Concrete, Stavanger, Norway, Tapir Trondheim.
  16. Vainiūnas, P., Popovas, V., Jarmolajev (2002) A. Punching Shear Behavior Analysis of RC Flat Floor Slab-to-Column Connection, Journal of Civil Engineering and Management, 8(2), pp.77-82. https://doi.org/10.1080/13923730.2002.10531255
  17. Yamada, T., Nanni, A., Endo, K. (1992) Punching Shear Resistance of Flat Slabs: Influence of Reinforcement Type and Ratio, ACI Structural Journal, 89(5), pp.555-563.