Uncertainty quantification in seismic collapse assessment of the Iranian code-conforming RC buildings

Document Type : Article


1 Department of Civil Engineering, Sharif University of Technology, Tehran, Iran.

2 Department of Civil Engineering, University of Colorado, Boulder, USA.; X-Elastica LLC, Boulder, Colorado, USA.


Structural collapse is the main concern in the existing structures which are built in the seismic-prone regions. Therefore, the primary goal of the seismic provisions in building codes is to prevent the global collapse. Iran is located in the Alpine-Himalayan belt, and has experienced some of the most destructive earthquakes in the past century. To evaluate the extent to which the Iranian building code provisions meet this objective, the authors have conducted a detailed assessment of collapse risk on a set of moderate moment resisting reinforced concrete (RC) buildings. This study considers P-Delta effects, deterioration in strength and stiffness, and cyclic deterioration in structural components.
Structural assessment is performed using OpenSees platform and the multiple-record incremental dynamic analysis (IDA). Results are presented in terms of the IDA capacity curves and the collapse fragility functions at different seismic hazard levels. Results show that probability of instability increases with height of the buildings. Moreover, the collapse confidence level was evaluated considering the available uncertainties. Assuming a minimum confidence level of 90% for the buildings, the collapse prevention limit state under the 2%/50 hazard level is not satisfied for the 9 and 12 story frames, and they need to re-designed.


Main Subjects

1. Song, C., Pujol, S., and Lepage, A. "The collapse of the Alto Rio building during the 27 February 2010 maule, chile, earthquake", Earthquake Spectra, 28(S1), pp. 301-334 (2012).
2. Villaverde, R. "Methods to assess the seismic collapse capacity of building structures: State of the art", Journal of Structural Engineering, 133(1), pp. 57-66 (2007).
3. Kunnath, S.K., Reinhorn, A.M., and Park, Y.J. "Analytical modeling of inelastic seismic response of r/c structures", Journal of Structural Engineering, 116(4), pp. 996-1017 (1990).
4. Baker, J.W. and Allin Cornell, C. "Spectral shape, epsilon and record selection", Earthquake Engineering & Structural Dynamics, 35(9), pp. 1077-1095 (2006).
5. Mazzoni, S., McKenna, F., Scott, M.H., and Fenves, G.L., OpenSees Command Language Manual, Pacific Earthquake Engineering Research (PEER) Center, 264 (2006).
6. Goulet, C.A., Haselton, C.B., Mitrani-Reiser, J., Beck, J.L., Deierlein, G.G., Porter, K.A., and Stewart, J.P. "Evaluation of the seismic performance of a code-conforming reinforced concrete frame building from seismic hazard to collapse safety and economic losses", Earthquake Engineering & Structural Dynamics, 36(13), pp. 1973-1997 (2007).
7. Haselton, C.B., Liel, A.B., Dean, B.S., Chou, J.H., and Deierlein, G.G. "Seismic collapse safety and behavior of modern reinforced concrete moment frame buildings", In Structural Engineering Research Frontiers, pp. 1-14 (2007).
8. ASCE/SEI 7 "Minimum design loads for buildings and other structures", Technical Report, American Society of Civil Engineers (2010).
9. Liel, A., Haselton, C., Deierlein, G., and Baker, J. "Incorporating modeling uncertainties in the assessment of seismic collapse risk of buildings", Structural Safety, 31, pp. 197-211 (2009).
10. Ibarra, L.F. and Krawinkler, H. "Global collapse of frame structures under seismic excitations", Technical Report, Pacific Earthquake Engineering Research Center Berkeley, CA (2005).
11. Haselton, C., Liel, A., Deierlein, G., Dean, B., and Chou, J. "Seismic collapse safety of reinforced concrete buildings. I: Assessment of ductile moment frames", Journal of Structural Engineering, 137, pp. 481-491 (2011).
12. American Concrete Institute "Building code requirements for structural concrete (ACI 318-08) and commentary", Technical Report (2008).
13. Dolsek, M. "Incremental dynamic analysis with consideration of modeling uncertainties", Earthquake Engineering and Structural Dynamics, 38, pp. 805-825 (2009).
14. Celarec, D. and Dolsek, M. "The impact of modelling uncertainties on the seismic performance assessment of reinforced concrete frame buildings", Engineering Structures, 52, pp. 340-354 (2013).
15. Li, Y., Lu, X., Guan, H., and Ye, L. "An improved tie force method for progressive collapse resistance design of reinforced concrete frame structures", Engineering Structures, 33(10), pp. 2931-2942 (2011).
16. Kam, W.Y., Pampanin, S., and Elwood, K. "Seismic performance of reinforced concrete buildings in the 22 February Christchurch (Lyttelton) earthquake", Bulletin of the New Zealand Society for Earthquake Engineering 44.4, pp. 239-278 (2011).
17. Fragiadakis, M., Vamvatsikos, D., and Aschheim, M.  Application of nonlinear static procedures for the seismic ssessment of regular RC moment frame buildings", Earthquake Spectra, 30(2), pp. 767-794 (2014).
18. Lu, X., Lu, X., Guan, H., and Ye, L. "Collapse simulation of reinforced concrete high-rise building induced by extreme earthquakes", Earthquake Engineering & Structural Dynamics, 42(5), pp. 705-723 (2013).
19. Raghunandan, M. and Liel, A.B. "Effect of ground motion duration on earthquake-induced structural collapse", Structural Safety, 41, pp. 119-133 (2013).
20. Ibarra, L.F., Medina, R.A., and Krawinkler, H. "Hysteretic models that incorporate strength and stiffness deterioration", Earthquake Engineering & Structural Dynamics, 34(12), pp. 1489-1511 (2005).
21. Raghunandan, M., Liel, A.B., and Luco, N. "Aftershock collapse vulnerability assessment of reinforced concrete frame structures", Earthquake Engineering & Structural Dynamics, 44(3), pp. 419-439 (2015).
22. Riahi, H.T., Amouzegar, H., and Fosoul, S.A.S. "Comparative study of seismic structural response to real and spectrum matched ground motions", Scientia Iranica, Transaction A, Civil Engineering, 22(1), p. 92 (2015).
23. Sattar, S. and Liel, A.B. "Collapse indicators for existing nonductile concrete frame buildings with varying column and frame characteristics", Engineering Structures, 152, pp. 188-201 (2017).
24. Burton, H. and Deierlein, G. "Simulation of seismic collapse in nonductile reinforced concrete frame buildings with masonry infills", Journal of Structural Engineering, 140(8), A4014016 (2013).
25. Sattar, S. and Liel, A.B. "Seismic performance of nonductile reinforced concrete frames with masonry infill walls I: Development of a strut model enhanced by finite element models", Earthquake Spectra, 32(2), pp. 795-818 (2016).
26. Haghpanah, F., Foroughi, H., and Behrou, R. "Sustainable seismic retrofitting of a RC building using performance based design approach", Engineering Structures and Technologies, 9(3), pp. 133-141 (2017).
27. Tafakori, E., Pourzeynali, S., and Estekanchi, H. "Assessment of collapse modes in reinforced concrete frames considering record-to-record and modeling uncertainties", Scientia Iranica, Transaction A, Civil Engineering, 24(5), pp. 2213-2226 (2017).
28. Kueht, E. and Hueste, M.B. "Impact of code requirements in the central united states: Seismic performance assessment of a reinforced concrete building", Journal of Structural Engineering, 135(4), pp. 404- 413 (2009).
29. Kim, T. and Kim, J. "Seismic demand of a RC special moment frame building", The Structural Design of Tall and Special Buildings, 18(2), pp. 137-147 (2009).
30. Panagiotakos, T.B. and Fardis, M.N. "Seismic performance of RC frames designed to eurocode 8 or to the Greek codes 2000", Bulletin of Earthquake Engineering, 2(2), pp. 221-259 (2004).
31. Kotronis, P., Ragueneau, F., and Mazars, J. "A simplified modelling strategy for r/c walls satisfying ps92 and ec8 design", Engineering Structures, 27(8), pp. 1197-1208 (2005).
32. Sadjadi, R., Kianoush, M., and Talebi, S. "Seismic performance of reinforced concrete moment resisting frames", Engineering Structures, 29(9), pp. 2365-2380 (2007).
33. Tena-Colunga, A., Correa-Arizmendi, H., Luna- Arroyo, J.L., and Gatica-Aviles, G. "Seismic behavior of code-designed medium rise special moment-resisting frame RC buildings in soft soils of Mexico city", Engineering Structures, 30(12), pp. 3681-3707 (2008).
34. Mehanny, S. and El Howary, H. "Assessment of RC moment frame buildings in moderate seismic zones: Evaluation of Egyptian seismic code implications and system configuration effects", Engineering Structures, 32(8), pp. 2394-2406 (2010).
35. El Howary, H. and Mehanny, S. "Seismic vulnerability evaluation of RC moment frame buildings in moderate seismic zones", Earthquake Engineering & Structural Dynamics, 40(2), pp. 215-235 (2011).
36. Duan, H. and Hueste, M.B.D. "Seismic performance of a reinforced concrete frame building in china", Engineering Structures, 41, pp. 77-89 (2012).
37. Astriana, L., Sangadji, S., Purwanto, E., and Kristiawan, S. "Assessing seismic performance of moment resisting frame and frame-shear wall system using seismic fragility curve", Procedia Engineering, 171, pp. 1069-1076 (2017).
38. Saloor, N. and Salari, A., Seismic Hazards in Iran (2015).
39. Behrou, R., Panah, A.K., and Ghayamghamian, M.R. "Recorded bedrock motions and site effects evaluation in Tehran city", In 7th International Conference on Case Histories in Geotechnical Engineering (2013).
40. Behrou, R., Haghpanah, F., and Foroughi, H. "Seismic site effect analysis for the city of Tehran using equivalent linear ground response analysis", International Journal of Geotechnical Engineering (2017).DOI: 10.1080/19386362.2017.1395998. 
41. Manual, ETABS User'S. Integrated Building Design Software, Computer and Structure Inc. Berkeley, USA (2002).
42. Haselton, C., Liel, A., Taylor Lange, S., and Deierlein, G., Beam-Column Element Model Calibrated for Predicting Flexural Response Leading to Global Collapse of RC Frame Buildings, Pacific Earthquake Engineering Research Center (2007).
43. Khanmohammadi, M. "Displacement and damage index criteria in performance based seismic design of R.C buildings", PhD Thesis, Department of Civil Engineering, University of Tehran (in Persian), Tehran (2006).
44. FEMA "Quantification of building seismic performance factors", FEMA P695. Redwood City, CA: Applied Technology Council (2009). 
45. Hariri-Ardebili, M., Zarringhalam, Y., Estekanchi, H., and Yahyai, M. "Non-linear seismic assessment of steel moment frames using time-history, incremental dynamic, and endurance time analysis methods", Scientia Iranica, 20(3), pp. 431-444 (2013).
46. Hariri-Ardebili, M.A., Sattar, S., and Estekanchi, H.E. "Performance-based seismic assessment of steel frames using endurance time analysis", Engineering Structures, 69, pp. 216-234 (2014).
47. Vamvatsikos, D. and Cornell, C. "Incremental dynamic analysis", Earthquake Engineering and Structural Dynamics, 31, pp. 491-514 (2002).
48. Vamvatsikos, D. and Cornell, C. "Applied incremental dynamic analysis", Earthquake Spectra, 20, pp. 523- 553 (2004).
49. Shome, N. "Probabilistic seismic demand analysis of nonlinear structures", PhD thesis, Stanford University, Stanford (1999).
50. McGuire, R. "Probabilistic seismic hazard analysis and design earthquakes: Closing the loop", Bulletin of the Seismological Society of America, 85, pp. 1275-1284 (1995).
51. Amiri, G.G., Motamed, R., and Es-Haghi, H.R. "Seismic hazard assessment of metropolitan Tehran, Iran", Journal of Earthquake Engineering, 7(3), pp. 347-372 (2003).
52. Jafari, M.A. "Statistical prediction of the next great earthquake around Tehran, Iran", Journal of Geodynamics, 49(1), pp. 14-18 (2010).
53. Hashemi, M., Alesheikh, A.A., and Zolfaghari, M.R. "A spatio-temporal model for probabilistic seismic hazard zonation of Tehran", Computers & Geosciences, 58, pp. 8-18 (2013).
54. Baker, J. "Efficient analytical fragility function fitting using dynamic structural analysis", Earthquake Spectra, 31(1), pp. 579-599 (2015).
55. Kennedy, R., Cornell, C., Campbell, R., Kaplan, S., and Perla, H. "Probabilistic seismic safety study of an existing nuclear power plant", Nuclear Engineering and Design, 59, pp. 315-338 (1980).
56. Hariri-Ardebili, M. and Saouma, V. "Collapse fragility curves for concrete dams: Comprehensive study", ASCE Journal of Structural Engineering, 142(10), 04016075 (2016).
57. Porter, K. "Assembly-based vulnerability of buildings and its uses in seismic performance evaluation and riskmanagement decision-making", PhD Thesis, Stanford University, Stanford, Palo-Alto, CA (2000).
58. Kustu, O., Miller, D., and Broken, S. "Development of damage functions for high-rise building", Technical Report,
URS/John A. Blume and Associates, Engineers, San Francisco, CA (1982).
59. Sabetta, F., Goretti, A., and Lucantoni, A. "Empirical fragility curves from damage surveys and estimated strong ground motion", In Proceedings of the 11th European Conference on Earthquake Engineering, Paris, France (1998).
60. Czarnecki, R. "Earthquake damage to tall buildings, optimum seismic protection and building damage statistics", Report No. 5. PhD thesis, Massachusetts Institute of Technology, Department of Civil Engineering, Cambridge, MA (1973).
61. Shinozuka, M., Feng, M., Lee, J., and Naganuma, T. "Statistical analysis of fragility curves", Journal of Engineering Mechanics, 126, pp. 1224-1231 (2000).
62. Kennedy, R. and Ravindra, M. "Seismic fragilities for nuclear power plant risk studies", Nuclear Engineering and Design, 79(1), pp. 47-68. (1984).
63. Applied Technology Council "Seismic performance assessment of buildings volume 1 - methodology", Technical Report FEMA P-58-1, Federal Emergency Management Agency (2012a).
64. Cornell, A., Jalayer, F., and Hamburger, R. "Probabilistic basis for 2000 SAC federal emergency management agency steel moment frame guidelines", Journal of Structural Engineering, 128, pp. 526-532 (2002).
65. Dolsek, M. "Simplified method for seismic risk assessment of buildings with consideration of aleatory and epistemic uncertainty", Structure and Infrastructure Engineering, 8, pp. 939-953 (2012).
66. Vamvatsikos, D. and Fragiadakis, M. "Incremental dynamic analysis for estimating seismic performance sensitivity and uncertainty", Earthquake Engineering and Structural Dynamics, 39, pp. 141-163 (2010).
67. Applied Technology Council "Seismic performance assessment of buildings, Volume 1: Methodology" Technical Report ATC-58-1, Federal Emergency Management Agency, Redwood City, CA (2012b).
68. Zafarani, H., Hajimohammadi, B., and Jalalalhosseini, S.M. "Earthquake hazard in the Tehran region based on the characteristic earthquake model", Journal of Earthquake Engineering, 23(9), pp. 1485-1511 (2019).
69. Wen, Y. and Foutch, D.A. "Proposed statistical and reliability framework for comparing and evaluating predictive models for evaluation and design", SAC/BD 97/03.
70. Hamburger, R. "A framework for performance-based earthquake resistive design", NISEE: National Information Service for Earthquake Engineering (1997).
71. Jalayer, F. "Direct probabilistic seismic analysis: implementing non-linear dynamic assessments", PhD Thesis, Stanford University, Stanford, Palo-Alto, CA (2003).
72. Foutch, D.A. and Wilcoski, J.A. "Rational approach for determining response modification factors for seismic design of buildings using current code provisions", Earthquake Spectra., 21(2), pp. 339-352 (2005).
73. Kim, T., Foutch, D.A., Wilcoski, J., and LaFave, J.M. "Response modification factors for RC case-study buildings with structural walls", Earthquake Spectra., 25(4), pp. 803-819 (2009).
74. Foutch, D.A. "State of the art report on performance prediction and evaluation of steel moment- frame buildings", SAC Rep. No. FEMA 355f, Federal Emergency Management Agency, Washington, DC (2000).