DOI QR코드

DOI QR Code

Modelling beam-to-column joints in seismic analysis of RC frames

  • Lima, Carmine (Department of Civil Engineering, University of Salerno) ;
  • Martinelli, Enzo (Department of Civil Engineering, University of Salerno) ;
  • Macorini, Lorenzo (Department of Civil and Environmental Engineering, Imperial College London) ;
  • Izzuddin, Bassam A. (Department of Civil and Environmental Engineering, Imperial College London)
  • Received : 2015.09.30
  • Accepted : 2016.12.03
  • Published : 2017.01.25

Abstract

Several theoretical and analytical formulations for the prediction of shear strength in reinforced concrete (RC) beam-to-column joints have been recently developed. Some of these predictive models are included in the most recent seismic codes and currently used in practical design. On the other hand, the influence of the stiffness and strength degradations in RC joints on the seismic performance of RC framed buildings has been only marginally studied, and it is generally neglected in practice-oriented seismic analysis. To investigate such influence, this paper proposes a numerical description for representing the cyclic response of RC exterior joints. This is then used in nonlinear numerical simulations of RC frames subjected to earthquake loading. According to the proposed strategy, RC joints are modelled using nonlinear rotational spring elements with strength and stiffness degradations and limited ductility under cyclic loading. The proposed joint model has been firstly calibrated against the results from experimental tests on 12 RC exterior joints. Subsequently, nonlinear static and dynamic analyses have been carried out on two-, three- and four-storey RC frames, which represent realistic existing structures designed according to old standards. The numerical results confirm that the global seismic response of the analysed RC frames is strongly affected by the hysteretic damage in the beam-to-column joints, which determines the failure mode of the frames. This highlights that neglecting the effects of joints damage may potentially lead to non-conservative seismic assessment of existing RC framed structures.

Keywords

References

  1. Alath, S. and Kunnath, S. (1995), "Modeling inelastic shear deformation in RC beam-column joints", Proceedings of the 10th Conference on Engineering Mechanics, University of Colorado at Boulder CO, 822-825.
  2. Altoontash, A. and Deierlein, G.G. (2003), "A versatile model for beam-column joints", ASCE Structures Congress Proceedings, Seattle, Washington, USA.
  3. Belarbi, A. and Hsu, T.T.C. (1995), "Constitutive Laws of Softened Concrete in Biaxial Tension-Compression", ACI Struct. J., 92(5), 562-573.
  4. Bella, M. (2009), "Modellazione Numerica di Strutture Sismoresistenti e Analisi Probabilistica di Tipo Montecarlo (Numerical modelling and probabilistic analysis of seismic resistant structures)", Ph.D. Thesis, Department of Civil and Environmental Engineering, University of Trieste, Italy.
  5. Biddah, A. and Ghobarah, A. (1999), "Modelling of shear deformation and bond slip in reinforced concrete joints", J. Struct. Eng. Mech., 7(4), 413-432. https://doi.org/10.12989/sem.1999.7.4.413
  6. Calvi, G.M., Magenes, G. and Pampanin, S. (2002), "Relevance of beam-column joint damage and collapse in RC frame assessment", J. Earthq. Eng., 6(1), 75-100. https://doi.org/10.1080/13632460209350411
  7. C elebi, M., Bazzurro, P., Chiaraluce, L., Clemente, P., Decanini, L., DeSortis, A. and Stephens, C. (2010), "Recorded motions of the 6 April 2009 Mw 6.3 L'Aquila, Italy, earthquake and implications for building structural damage: overview", Earthq. Spectra, 26(3), 651-684. https://doi.org/10.1193/1.3450317
  8. Chun, S.C. and Kim, D.Y. (2004), "Evaluation of mechanical anchorage of reinforcement by exterior beam-column joint experiments", 13th World Conference on Earthquake Engineering, Vancouver, Canada, August.
  9. Chun, S.C. (2014), "Effects of joint aspect ratio on required transverse reinforcement of exterior joints subjected to cyclic loading", Earthq. Struct., 7(5), 705-718. https://doi.org/10.12989/eas.2014.7.5.705
  10. Chutarat, N. and Aboutaha, R.S. (2003), "Cyclic response of exterior reinforced concrete beam-column joints reinforced with headed bars-experimental investigation", ACI Struct. J., 100(2), 254-264.
  11. Clyde, C., Pantelides, C.P. and Reaveley, L.D. (2000), Performance-based evaluation of exterior reinforced concrete building joints for seismic excitation-PEER Report 2000/05, Pacific Earthquake Engineering Research Center, University of California, Berkeley.
  12. Dowel, R.K., Seible, F. and Wilson, E.L. (1998), "Pivot hysteresis model for reinforced concrete members", ACI Struct. J., 95(S55), 607-617.
  13. Economou, C.M., Prinou, C., Chalioris, C.E. and Karayannis, C.G. (1998), "Capacity decrease of RC joints due to seismic actions in the curing period", 11th European Conference on Earthquake Engineering, Balkema, Rotterdam.
  14. Ehsani, M.R. and Wigth, J.K. (1985), "Exterior reinforced concrete beam-to-column connections subjected to earthquake-type loading", ACI J., 82(4), 492-499.
  15. Ehsani, M.R., Moussa, A.E. and Vallenilla, C.R. (1987), "Comparison of inelastic behavior of reinforced ordinary and high strength concrete frames", ACI Struct. J., 84-S17(2), 161-169.
  16. EN 1998-3 (2005), Eurocode 8: Design of structures for earthquake resistance-Part 3: Assessment and retrofitting of buildings, The European Union Per Regulation 305/2011, Directive 98/34/EC, Directive 2004/18/EC.
  17. Faella, C., Lima, C. and Martinelli, E. (2009), "Definizione e valutazione parametrica di misure di vulnerabilita sismica per edifici esistenti in cemento armato (paper S14.14)", XIII Convegno ANIDIS, Bologna, Italy, June.
  18. Fajfar, P. (1999), "Capacity spectrum method based on inelastic demand spectra", Earthq. Eng. Struct. Dyn., 28(9), 979-993. https://doi.org/10.1002/(SICI)1096-9845(199909)28:9<979::AID-EQE850>3.0.CO;2-1
  19. Favvata, M.J., Izzuddin, B.A. and Karayannis, C.G. (2008), "Modelling exterior beam-column joints for seismic analysis of RC frame structures", Earthq. Eng. Struct. Dyn., 37(13), 1527-1548. https://doi.org/10.1002/eqe.826
  20. Favvata, M.J. and Karayannis, C.G. (2014), "Influence of pinching effect of exterior joints on the seismic behavior of RC frames", Earthq. Struct., 6(1), 89-110. https://doi.org/10.12989/eas.2014.6.1.089
  21. Giberson, M.F. (1969), "Two nonlinear beams with definition of ductility", J. Struct. Div., ASCE, 95(ST2), 137-157.
  22. Ghobarah, A. and Biddah, A. (1999), "Dynamic analysis of reinforced concrete frames including joint shear deformation", J. Eng. Struct., 21(11), 971-987. https://doi.org/10.1016/S0141-0296(98)00052-2
  23. Hsu, T.T.C. (1993), Unified Theory of Reinforced Concrete, CRC Press Inc, Boca Raton, FL, USA.
  24. Hwang, S.J., Lee, H.J. and Wang, K.C. (2004), "Seismic design and detailing of exterior reinforced concrete beam-column joints", 13th World Conference on Earthquake Engineering, Vancouver, Canada, August.
  25. Youssef, M. and Ghobarah, A. (2001), "Modeling of RC beam-column joints and structural walls", J. Earthq. Eng., 5(1), 93-111. https://doi.org/10.1080/13632460109350387
  26. Izzuddin, B.A. (1991), "Nonlinear dynamic analysis of framed structures", Ph.D. Thesis, Department of Civil Engineering, Imperial College, London.
  27. Izzuddin, B.A. and Lloyd Smith, D. (2000), "Efficient nonlinear analysis of 3D R/C frames using adaptive techniques", Comput. Struct., 78(4), 549-573. https://doi.org/10.1016/S0045-7949(00)00041-9
  28. Kim, J. and LaFave J.M. (2007), "Influence parameters for the joint shear behaviour of reinforced concrete (RC) beam-column connections", Eng. Struct., 29(10), 2523-2539. https://doi.org/10.1016/j.engstruct.2006.12.012
  29. Kwak, H.G., Kim, S.P. and Kim, J.E. (2004), "Nonlinear dynamic analysis of RC frames using cyclic moment-curvature relation", J. Struct. Eng. Mech., 17(3-4), 357-378. https://doi.org/10.12989/sem.2004.17.3_4.357
  30. Lima, C. (2012), Beam-to-column joints in RC frames: capacity models and behaviour under seismic actions, LAP Lambert Academic Publishing, Germany.
  31. Lima, C., Martinelli, E. and Faella, C. (2012a), "Capacity models for shear strength of exterior joints in RC frames: experimental assessment and recalibration", Bull. Earthq. Eng., 10(3), 985-1007. https://doi.org/10.1007/s10518-012-9342-2
  32. Lima, C., Martinelli, E. and Faella, C. (2012b), "Capacity models for shear strength of exterior joints in RC frames: state-of-the-art and synoptic examination", Bull. Earthq. Eng., 10(3), 967-983. https://doi.org/10.1007/s10518-012-9340-4
  33. Lowes, L.N. and Altoontash, A. (2003), "Modeling reinforced-concrete beam-column joints subjected to cycling loading", J. Struct. Eng., ASCE, 129(12), 1686-1697. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:12(1686)
  34. Lu, X., Urukap, T.H., Li, S. and Lin, F. (2012), "Seismic behavior of interior RC beam-column joints with additional bars under cyclic oading", Earthq. Struct., 3(1), 37-57. https://doi.org/10.12989/eas.2012.3.1.037
  35. Mander, J.B., Priestley, M.J.N. and Park, R. (1988), "Theoretical stress-strain model for confined concrete", J. Struct. Eng., ASCE, 114(8), 1804-1826. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:8(1804)
  36. Ministerial Decree (2008), Norme tecniche per le costruzioni, 14/01/2008. G.U. $n^{\circ}29$ del 4/02/2008. (in Italian)
  37. Mitra, N. and Lowes, LN. (2007), "Evaluation, calibration, and verification of a reinforced concrete beam-column joint model", J. Struct. Eng., ASCE, 133(1), 105-120. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:1(105)
  38. OPCM 3362 (2004), Modalita di attivazione del Fondo per interventi straordinari della Presidenza del Consiglio dei Ministri, istituito ai sensi dell'art. 32-bis del decreto-legge 30 settembre 2003, n. 269, convertito, con modificazioni, dalla legge 24 novembre 2003, n. 326, Ordinanza del Presidente del Consiglio dei Ministri 8 luglio 2004, GU n. 165 del 16-7-2004. (in Italian)
  39. Park, S. and Mosalam, K.M. (2009), Shear strength models of exterior beam-column joints without transverse reinforcement. PEER report 2009/106, Pacific Earthquake Engineering Research Center, University of California, Berkeley.
  40. Paulay, T. and Priestley, M.J.N. (1992), Seismic design of reinforced concrete and masonry buildings, John Wiley & Sons Inc., New York, NY, USA.
  41. Regio Decreto n.2229 (1939), Norme per la esecuzione delle opere in conglomerato cementizio semplice ed armato, n.2229 del 16/11/1939. (in Italian)
  42. Santarella, L. (1963), Prontuario del Cemento Armato. XXV Edizione, U. Hoepli, Milano. (in Italian)
  43. Shin, M. and LaFave, J.M. (2004), "Seismic performance of reinforced concrete eccentric beam-column connections with floor slabs", ACI Struct. J., 101(3), 403-412.
  44. Sivaselvan, M.V. and Reinhorn, A.M. (2000), "Hysteretic models for deteriorating inelastic structures", J. Eng. Mech., 126(6), 633-640. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:6(633)
  45. Vecchio, F.J. and Collins, M.P. (1986), "The modified compression-field theory of reinforced concrete elements subjected to shear", ACI Struct. J., 83(2), 219-231.
  46. Vollum, R.L. and Newman, J.B. (1999), "The design of external, reinforced concrete beam-column joints", Struct. Engineer, 77(23-24), 21-27.
  47. Xing, G.H., Wu, T., Niu, D.T. and Liu, X. (2013), "Seismic behavior of reinforced concrete interior beam-column joints with beams of different depths", Earthq. Struct., 4(4), 429-449. https://doi.org/10.12989/eas.2013.4.4.429
  48. Zhou, H. and Zhang, Z. (2012), "Interaction of internal forces of exterior beam-column joints of reinforced concrete frames under seismic action", Struct. Eng. Mech., 44(2), 197-217. https://doi.org/10.12989/sem.2012.44.2.197

Cited by

  1. Progressive Collapse Analysis of SRC Frame-RC Core Tube Hybrid Structure vol.8, pp.11, 2018, https://doi.org/10.3390/app8112316
  2. Structural health monitoring of seismically vulnerable RC frames under lateral cyclic loading vol.19, pp.1, 2017, https://doi.org/10.12989/eas.2020.19.1.29
  3. Seismic performance of the concrete-encased CFST column to RC beam joints: Analytical study vol.36, pp.5, 2017, https://doi.org/10.12989/scs.2020.36.5.533
  4. Finite-Element Study on the Behavior of Exterior Reinforced Concrete Beam-to-Column Connections with Transverse Reinforcement in the Joint Panel vol.26, pp.1, 2017, https://doi.org/10.1061/(asce)sc.1943-5576.0000537