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Fragility curves and loss functions for RC structural components with smooth rebars

  • Cardone, Donatello (School of Engineering, University of Basilicata)
  • Received : 2015.07.07
  • Accepted : 2016.02.27
  • Published : 2016.05.25

Abstract

Fragility and loss functions are developed to predict damage and economic losses due to earthquake loading in Reinforced Concrete (RC) structural components with smooth rebars. The attention is focused on external/internal beam-column joints and ductile/brittle weak columns, designed for gravity loads only, using low-strength concrete and plain steel reinforcing bars. First, a number of damage states are proposed and linked deterministically with commonly employed methods of repair and related activities. Results from previous experimental studies are used to develop empirical relationships between damage states and engineering demand parameters, such as interstory and column drift ratios. Probability distributions are fit to the empirical data and the associated statistical parameters are evaluated using statistical methods. Repair costs for damaged RC components are then estimated based on detailed quantity survey of a number of pre-70 RC buildings, using Italian costing manuals. Finally, loss functions are derived to predict the level of monetary losses to individual RC components as a function of the experienced response demand.

Keywords

fragility functions;damage states;RC frame buildings;beam-column joints;weak columns;smooth reinforcing bars;repair methods;repair costs;loss functions;FEMA P-58

References

  1. ACI-Committee 318 (1971), ACI 318-71: Building Code Requirements for Reinforced Concrete, American Concrete Inst., Farmington Hills, MI.
  2. Arani, K.K., Marefat, M.S., Amrollahi-Biucky, A. and Khanmohammadi, M. (2013), "Experimental seismic evaluation of old concrete columns reinforced by plain bars", Struct. Des. Tall Spec. Build., 22(3), 267-290. https://doi.org/10.1002/tal.686
  3. Aslani, H. and Miranda, E. (2005), "Probabilistic earthquake loss estimation and loss disaggregation in buildings", Report No. 157. Stanford, CA: John A. Blume Earthquake Engineering Center, Stanford University.
  4. ATC (2012), Applied Technology Council, FEMA P-58 Next-generation Seismic Performance Assessment for Buildings, Vol. 1-Methodology, Federal Emergency Management Agency, Washington, DC.
  5. ATC (2012), Applied Technology Council, FEMA P-58 Next-generation Seismic Performance Assessment for Buildings, Vol. 2-Implementation Guide, Federal Emergency Management Agency, Washington, DC.
  6. Bassi, A. (2014), Costi per tipologie edilizie. La valutazione economica dei progetti in fase preliminare, Ed. Maggioli, Santarcangelo di Romagna (RN), Italy. (in Italian)
  7. Bedirhanoglu, I., Ilki, A., Pujol, S. and Kumbasar, N. (2010), "Behavior of deficient joints with plain bars and low-strength concrete", ACI Struct. J., 107(3), 300-310.
  8. Beschi, C., Riva, P. and Meda, A. (2012), "Corner beam-column joints retrofitting with HPFRC jacketing", 3rd International Conference on Concrete Repair, Rehabilitation and Retrofitting, Cape Town, South Africa.
  9. Bozorgnia, Y. and Bertero, V.V. (2004), Earthquake Engineering: From Engineering Seismology to Performance-Based Earthquake Engineering, CRC Press.
  10. Bracci, J.M., Reinhorn, A.M. and Mander, J.B. (1995), "Seismic resistance of reinforced concrete frame structures designed for gravity loads: performance of structural system", ACI Struct. J., 92(5), 597-609.
  11. Braga, F., Gigliotti, R. and Laterza, M. (2009), "Existing RC structures with smooth bars: Experimental behavior of beam-column joints subject to cyclic lateral loads", Open Construct. Build. Technol. J., 3(1), 52-67. https://doi.org/10.2174/1874836800903010052
  12. BUR (2013), Price List of Public Works in Basilicata Region, Official Journal of Regione Basilicata, Potenza. (in Italian)
  13. 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(S1), 75-100.
  14. Cardone, D. and Perrone, G. (2015), "Developing fragility curves and loss functions for masonry infill walls", Earthq. Struct., 9(1), 257-279. https://doi.org/10.12989/eas.2015.9.1.257
  15. Cardone, D. and Perrone, G. (2016), "Damage and loss assessment of Pre-70 RC frame buildings with FEMA P-58", J. Earthq. Eng., doi: 10.1080/13632469.2016.1149893.
  16. Chen, T.H. (2006), "Retrofit strategy of non-seismically designed frame systems", Master thesis, University of Canterbury, Christchurch, New Zealand.
  17. CIAM (2014), Prezzi tipologie edilizie, Ed., DEI, Collegio degli Ingegneri e degli Architetti di Milano, Roma, Italy. (in Italian)
  18. Di Ludovico, M., Verderame, G., Prota, A., Manfredi, G. and Cosenza, E. (2013), "Experimental behavior of non-conforming RC columns with plain bars under constant axial load and biaxial bending", J. Struct. Eng., 139(6), 897-914. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000703
  19. Di Ludovico, M., Verderame, G.M., Prota, A., Manfredi, G. and Cosenza, E. (2014), "Cyclic behavior of non conforming full-scale RC columns", J. Struct. Eng., 140(5), 897-914.
  20. El-Attar, A.G., White, R.N. and Gergely, P. (1997), "Behaviour of gravity load designed reinforced concrete buildings subjected to earthquakes", ACI Struct. J., 94(2), 133-145.
  21. Fernandes, C., Melo, J., Varum, H. and Costa, A. (2013), "Cyclic behaviour of substandard reinforced concrete beam-column joints with plain bars", ACI Struct. J., 110(1), 137-147.
  22. GU-Gazzetta Ufficiale (1974), Provvedimenti per le costruzioni con particolari prescrizioni per le zone sismiche, Legge 2 febbraio 1974, n. 64, published on GU n. 076 on 21/03/1974. (in Italian)
  23. Hakuto, S., Park, R. and Tanaka, H. (2000), "Seismic load tests on interior and exterior beam-column joints with substandard reinforcing details", ACI Struct. J., 97(1), 11-25.
  24. Henkhausus, E. (2010), "Axial failure of vulnerable reinforced concrete columns damaged by shear reversals", Ph.D. thesis, Purdue University, West Lafayette Indiana.
  25. Hertanto, E. (2005), "Seismic assessment of pre-1970s reinforced concrete structures", Ph.D. thesis, New Zealand: University of Canterbury.
  26. ICBO-International Conference of Building Officials (1967), Uniform Building Code, Vol. 1, Whittier, CA.
  27. Lilliefors, H. (1967), "On the Kolmogorov-Smirnov test for normality with mean and variance unknown", J. Am. Statistic. Assoc., 62(318), 399-402. https://doi.org/10.1080/01621459.1967.10482916
  28. Liu, A. and Park, R. (2001), "Seismic behaviour and retrofit of pre-1970's as-built exterior beam-column joints reinforced by plain round bars", Bull. NZ. Soc. Earthq. Eng., 34(1), 68-81.
  29. Lynn, A. (2001), "Seismic evaluation of existing reinforced concrete building columns", Ph.D. thesis, University of California, Berkeley, California.
  30. Marefaf, M.S., Karbasi, K., Arani, S., Hassanzadeh, M.S. and Amrollahi, A. (2008), "Seismic behavior and retrofit of concrete columns of old R.C. buildings reinforced with plain bars", Seismic Engineering Conference commemorating the 1908 Messina and Reggio Calabria Earthquake.
  31. Matchulat, L. (2009), "Mitigation of collapse risk in vulnerable concrete buildings", MSc. thesis, University of Kansas, Lawrence.
  32. Pagni, C.A. and Lowes, L.N. (2006), "Fragility functions for older reinforced concrete beam-column joints", Earthq. Spectra, 22(1), 215-238. https://doi.org/10.1193/1.2163365
  33. Pampanin, S., Calvi, G.M. and Moratti, M. (2002), "Seismic behavior of R.C. beam-column joints designed for gravity loads", Proceeding of 12th European Conference on Earthquake Engineering, London, UK.
  34. Pan, A.D. and Moehle, J.P. (1988), "Reinforced concrete flat plates under lateral loading: an experimental study including biaxial effects", Report UCB/EERC-88/16, University of California, Berkeley, CA.
  35. Ross, S.M. (2003), "Peirce's criterion for the elimination of suspect experimental data", J. Eng. Technol., 20(2), 38-41.
  36. Verderame, G.M., Fabbrocino, G. and Manfredi, G. (2008a), "Seismic response of RC columns with smooth reinforcement, part I: monotonic tests", Eng. Struct., 30(9), 2277-2288. https://doi.org/10.1016/j.engstruct.2008.01.025
  37. Verderame, G.M., Fabbrocino, G. and Manfredi, G. (2008b), "Seismic response of RC columns with smooth reinforcement, part II: Cyclic tests", Eng. Struct., 30(9), 2289-2300. https://doi.org/10.1016/j.engstruct.2008.01.024
  38. Woods, C. and Matamoros, A.B. (2010), "Effect of longitudinal reinforcement ratio on the failure mechanism of R/C columns most vulnerable to collapse", Ninth US National Conference and Tenth Canadian Conference on Earthquake Engineering, Toronto, Canada.

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