DOI QR코드

DOI QR Code

Three dimensional analysis of reinforced concrete frames considering the cracking effect and geometric nonlinearity

  • 투고 : 2007.09.13
  • 심사 : 2009.01.02
  • 발행 : 2009.01.30

초록

In the design of tall reinforced concrete (R/C) buildings, the serviceability stiffness criteria in terms of maximum lateral displacement and inter-story drift must be satisfied to prevent large second-order P-delta effects. To accurately assess the lateral deflection and stiffness of tall R/C structures, cracked members in these structures need to be identified and their effective member flexural stiffness determined. In addition, the implementation of the geometric nonlinearity in the analysis can be significant for an accurate prediction of lateral deflection of the structure, particularly in the case of tall R/C building under lateral loading. It can therefore be important to consider the cracking effect together with the geometric nonlinearity in the analysis in order to obtain more accurate results. In the present study, a computer program based on the iterative procedure has been developed for the three dimensional analysis of reinforced concrete frames with cracked beam and column elements. Probability-based effective stiffness model is used for the effective flexural stiffness of a cracked member. In the analysis, the geometric nonlinearity due to the interaction of axial force and bending moment and the displacements of joints are also taken into account. The analytical procedure has been demonstrated through the application of R/C frame examples in which its accuracy and efficiency in comparison with experimental and other analytical results are verified. The effectiveness of the analytical procedure is also illustrated through a practical four story R/C frame example. The iterative procedure provides equally good and consistent prediction of lateral deflection and effective flexural member stiffness. The proposed analytical procedure is efficient from the viewpoints of computational effort and convergence rate.

키워드

참고문헌

  1. American Concrete Institute (ACI) (1995), 'Building code requirements for reinforced concrete (ACI 318-95)', Farmington Hills, Michigan
  2. Al-Shaikh, A.H. and Al-Zaid, R.Z. (1993), 'Effect of reinforcement ratio on the effective moment of inertia of reinforced concrete beams', ACI Struct. J., 90, 144-149
  3. Barzegar, F. (1989), 'Analysis of reinforced concrete membrane elements with anisotropic reinforcement', J. Struct. Eng., ASCE, 115(3), 647-665 https://doi.org/10.1061/(ASCE)0733-9445(1989)115:3(647)
  4. Branson, D.E. (1963), 'Instantaneous and time-dependent deflections of simple and continuous reinforced concrete beams, HPR', Alabama Highway Deparment/US Bureau of Public Roads, Report No.7(1) 78
  5. CAN3-A23-3-M94 (1994), 'Design of concrete structures for buildings', Canadian Standards Association, Toronto, Canada
  6. Cauvin, A. (1991), 'Influence of tension stiffening on behavior of structures', Proc. IABSE Colloquium, International Association of Bridge and Structural Engineers. Zurich, 153-158
  7. Chan, C.M., Mickleborough, N.C. and Ning, F. (2000), 'Analysis of cracking effects on tall reinforced concrete buildings', J. Struct. Eng., 126(9), 995-1003 https://doi.org/10.1061/(ASCE)0733-9445(2000)126:9(995)
  8. Chan, C.M., Ning, F. and Mickleborough, N.C. (2000), 'Lateral stiffness characteristics of tall reinforced concrete buildings under service loads', J. Struct. Des. Tall Build, 9, 365-383 https://doi.org/10.1002/1099-1794(200012)9:5<365::AID-TAL158>3.0.CO;2-B
  9. Channakeshava, C. and Sundara Raja Iyengar, K.T. (1988), 'Elasto-plastic cracking analysis of reinforced concrete', J. Struct. Eng., ASCE, 114, 2421-2438 https://doi.org/10.1061/(ASCE)0733-9445(1988)114:11(2421)
  10. Chen, W.F. (1982), Plasticity in Reinforced Concrete, McGraw-Hill New York
  11. Comite Euro-International du Beton (1985), Manual on Cracking and Deformation, Bulletin d'Information, No. 158-E
  12. Cosenza, E. (1990), 'Finite element analysis of reinforced concrete elements in a cracked state', Comput. Struct., 36(1), 71-79 https://doi.org/10.1016/0045-7949(90)90176-3
  13. Dundar, C. and Kara, I.F. (2007), 'Three dimensional analysis of reinforced concrete frames with cracked beam and column elements', Eng. Struct., 29(9), 2262-2273 https://doi.org/10.1016/j.engstruct.2006.11.018
  14. El-Metwally, S.E. and Chen, W.F. (1998), 'Nonlinear behavior of R/C frames', Comput. Struct., 32(6), 1203-1209 https://doi.org/10.1016/0045-7949(89)90297-6
  15. Ingraffea, A.R. and Gerstle, W. (1985), 'Non-linear fracture models for discrete crack propagation', In Applications of Fracture Mechanics to Cementitious Composites, Shah SP. (ed.), The Hague, The Netherlands:Martinus-Nijhoff: 171-209
  16. Massicotte, B., Elwi, A.E. and MacGregor, J.G. (1990), 'Tension-stiffening model for planar reinforced concrete members', J. Struct. Eng., ASCE, 116(11), 3039-3058 https://doi.org/10.1061/(ASCE)0733-9445(1990)116:11(3039)
  17. Mickleborough, N.C., Ning, F. and Chan, C.M. (1999), 'Prediction of the stiffness of reinforced concrete shear walls under service loads', ACI Struct. J., 96(6), 1018-1026
  18. Ngo, D. and Scordelis, A.C. (1967), 'Finite element analysis of reinforced concrete beams', ACI J., 64(3), 152-163
  19. Polak, M.A. (1996), 'Effective stiffness model for reinforced concrete slabs', J. Struct. Eng., ASCE, 122(9), 1025-1030 https://doi.org/10.1061/(ASCE)0733-9445(1996)122:9(1025)
  20. Polak, M.A. and Vecchio, F.J. (1993), 'Nonlinear analysis of reinforced concrete shells', J. Struct. Eng., ASCE, 119(12), 3439-3462 https://doi.org/10.1061/(ASCE)0733-9445(1993)119:12(3439)
  21. Sakai, K. and Kakuta, Y. (1980), 'Moment-curvature relationship of reinforced concrete members subjected to combined bending and axial force', ACI J., 77, 189-194
  22. Shuraim, A.B. (1997), 'Lateral stiffness of plane reinforced concrete frames', Comput. Struct., 64(1), 771-782. Stafford Smith, B. and Coull, A. (1991), Tall Building Structures: Analysis and Design, Wiley, New York https://doi.org/10.1016/S0045-7949(96)00174-5
  23. Shuraim, A.B. (1997), 'Lateral stiffness of plane reinforced concrete frames', Comput. Struct., 64(1), 771-782. Stafford Smith, B. and Coull, A. (1991), Tall Building Structures: Analysis and Design, Wiley, New York
  24. Vecchio, F.J. and Emara, M.B. (1992), 'Shear deformations in reinforced concrete frames', ACI Struct. J., 89(1), 46-56
  25. Tanrikulu, A.K., Dundar, C. and Cagatay, I.H. (2000), 'A computer program for the analysis of reinforced concrete frames with cracked beam elements', Struct. Eng. Mech., 10(5), 463-478
  26. Turkish Earthquake Code (TEC) (1998), 'Regulations on structures constructed in disaster regions', Ministry of Public Works and Settlement, Ankara