Journal of the Computational Structural Engineering Institute of Korea (한국전산구조공학회논문집)

Computational Structural Engineering Institute of Korea (한국전산구조공학회)
권호 표지

Nonlinear Analysis of RC Beams Considering Fixed-End Rotation due to Bond-Slip

부착슬립에 의한 강체변형을 고려한 철근콘크리트 보의 비선형해석

  • 김선필 (스마트 사회기반시설 연구센터 연수연구원) ;
  • 곽효경 (한국과학기술원 건설 및 환경공학과)
  • Published : 2005.03.01
Download PDF
⟨ Previous Next ⟩

Abstract

An analytical procedure to analyze reinforced concrete (RC) beams subject to monotonic loadings is proposed on the basis of the moment-curvature relations of RC sections. Unlike previous analytical models which result the overestimation of stiffnesses and underestimation of structural deformations induced from ignoring the shear deformation and assuming perfect-bond condition between steel and concrete, the proposed relation considers the rigid-body-motion due to anchorage slip at the fixed end. The advantages of the proposed relation, compared with the previous numerical models, are on the promotion in effectiveness of analysis and reflection of influencing factors which must be considered in nonlinear analysis of RC beam by taking into account the nonlinear effects into the simplifying moment-curvature relation. Finally, correlation studies between analytical and experimental results are conducted to establish the applicability of the proposed model to the nonlinear analysis of RC structures.

이 논문에서는 단면성질을 나타내는 모멘트-곡률 관계에 토대를 둔 해석모델을 제안하였다. 기존의 제안된 해석방법에서는 모멘트-곡률 관계가 완전부착을 가정한 휨거동만을 주요한 거동으로 가정하여 구조물의 응답을 과소평가하고 강성을 과대평가한 것과는 달리 제안된 해석 방법에서는 접합부의 부착슬립에 의한 강체변형을 산정할 수 있는 알고리즘을 개발하였고 나아가 등가휨강성을 이용하여 부착슬립에 의한 강체변형을 고려한 철근콘크리트 구조물의 해석을 수행하였다. 또한 모멘트-곡률 관계를 철근의 항복점을 기준으로 두개의 직선으로 간편화 시킴으로써 해석의 효율성을 높이는 한편 고려해야 할 비선형 거동특성을 효과적으로 반영하였다. 마지막으로 철근콘크리트 구조물의 비선형 해석에 대한 제안된 모델식의 적용성을 검증하기 위하여 해석결과와 실험값들의 비교를 수행하였다.

Keywords

References

  1. Ayoub, A., Filippou. F. C., 'Mixed Formulation of bond-slip problems under cyclic loads', Journal of Structural Engineering, vol. 125, No.6, 1999, pp.661-671 https://doi.org/10.1061/(ASCE)0733-9445(1999)125:6(661)
  2. Clough, R. W., Johnston, S. B., 'Effect of Stiffness Degradation on Earthquake Ductility Requirements', Proceedings of Japan Earthquake Engineering Symposium, 1966
  3. D'Ambrisi. A., Filippou, F. C., 'Correlation Studies on an RC Frame Shaking-Table Specimen', Earthquake Engineering and Structural Dynamics, Vol. 26, 1997, pp.1021-1040 https://doi.org/10.1002/(SICI)1096-9845(199710)26:10<1021::AID-EQE691>3.0.CO;2-L
  4. Eligehausen, R.. Popov, E.P.,Bertero, V.V., 'Local Bond Stress-slip Relationships of Deformed Bars under Generalized Excitations', Report No. UCB/EERC 83-23, Earthquake Engineering Research Center, Univ. of California, Berkeley, 1983
  5. Gergely, P., Lutz, L.A., 'Maximum Crack Width in Reinforced Concrete Flexural Members', ACI Special Publication SP-20, ACI, Detroit, 1973, pp.87-117
  6. Hayashi, S., Kokusho, S., 'Bond Behavior in the Neighborhood of the Crack' Proceedings of the U.S.-Japan Joint Seminar on Finite Element Analysis of Reinforced Concrete, Tokyo, 1985, pp.364-373
  7. Kwak, H.G., Filippou, F.C., 'Finite Element Analysis of Reinforced Concrete Structures under Monotonic loads', Report No. UCB/SEMM-90/14, Univ. of California, Berkeley, 1990
  8. Kwak, H. G., Kim, S. P., 'Nonlinear Analysis of RC Beams Subject to Cyclic Loadings', Journal of Structural Engineering, ASCE, , Vol. 127, No. 12, 2001, pp.1436-1444 https://doi.org/10.1061/(ASCE)0733-9445(2001)127:12(1436)
  9. Kwak, H. G., Kim, S. P., 'Cyclic Moment Curvature Relation of RC Beam', Magazine of Concrete Research. Vol. 54, No.6, 2002, pp.435-447 https://doi.org/10.1680/macr.2002.54.6.435
  10. Kwak, H. G., Kim, S. P., 'Monotonic Moment-Curvature Relation of RC Beam', Magazine of Concrete Research. Vol. 54, No. 6, 2002, pp.423-434 https://doi.org/10.1680/macr.2002.54.6.423
  11. Ma, S. M., Bertero, V. V., Popov, E. P ., 'Experimental and Analytical Studies on the Hysteretic Behavior of Reinforced Concrete Rectangular and T-beam', Earthquake Engrg. Research Center Report No. EERC 76-2, Univ. Of California, Berkeley, Calif. 1976
  12. Menegotto M., Pinto, P. E., 'Method of Analysis for Cyclically Loaded Reinforced Concrete Plane Frame Including Changes in Geometry and Nonelastic Behavior of elements under Combined Normal Force and Bending', Proceedings, IABSE Symposium on 'Resistance and ultimate Deiormebility of Structures Acted on by Well Defined Repeated Loads', Lisbon, 1973
  13. Mirza, M.S., Houde, J., 'Study of bond and Slip of Deformed Bars in Concrete', ACI Journal, Proceedings, Vol.76, No.1, 1979, pp.19-46
  14. Monti, G., Filippou, F.C., Spacone, E., 'Analvsis of Hysteretic Behavior of Anchored Reinforcing Bars', ACI Structural Journal, Vol. 94, No. 2, 1997, pp.248-261
  15. Nilson, A.H., 'Internal Measurement of Bond Slip', ACI Journal, Vol. 69, No.7, 1972, pp. 439-441
  16. Owen, D. R. J., Hinton, E., Finite Elements in Plasticity, Pineridge Press Limited, 1980
  17. Roufaiel , M. S. L., Meyer, C., 'Analytical Modeling of Hysteretic Behavior of Reinforced Concrete Frame', Journal of Structural Engineering, Vol. 113. No.3. 1987. pp.429-444 https://doi.org/10.1061/(ASCE)0733-9445(1987)113:3(429)
  18. Saatcioglu, M., Ozcebe, G., 'Response of Reinforced Concrete Columns to Simulated Seismic Loading', ACI Structural Journal, Vol. 86, No. 1, 1989, pp.3-12
  19. Sawyer, H. A., 'Design of Concrete Frames for Two Failure States', Proceedings of the International Symposium on the Flexural Mechanics of Reinforced Concrete, ASCE-ACI, Miami, November, 1964, pp.405-431
  20. Soroushian, P., Obaseki,K., Nagi, M., Rojas, M., 'Pullout behaviour of hooked bars in exterior beam-column connections', ACI Struct. J., Vol.85, No.3, 1988, pp.269-276
  21. Takeda, T., Sozen, M. A., Nielsen, N. N., 'Reinforced Concrete Response to Simulated Earthquake', Journal of the Structural Division, ASCE, Vol. 96, No. ST-12, 1970, pp.2557-2573
  22. Taucer, F. Spacone, E . Filippou, F. C ., 'A Fiber Beam-Column Element for Seismic Response Analysis of Reinforced Concrete Structures', Earthquake Engrg. Research Center Report No. EERC 91-17, Univ. of California, Berkeley, Calif, 1991
  23. Wight, J. K ., Sozen, M. A ., 'Strength Decay of RC Columns Under Shear Reversals', Journal of the Structural Division, ASCE, Vol. 101, No. ST-5, 1975, pp.1053-1065
  24. Zulfiqar, N., F'ilippou, F.C., 'Models of Critical Regions in Reinforced Concrete Frames under Seismic Excitations', Report No. UCB/ EERC-90/06, Earthquake Engineering Research Center, Univ. of California, Berkeley, 1990