A New Method to Determine the Collapse Capacity and Risk of RC Structures Incorporating Pulse Period Effect in Near-Faultwith Considering Confinement ratio

Document Type : Article


Faculty of Civil Engineering, Amirkabir University of Technology, 424, Hafez Ave., Tehran, Iran.


Collapse capacity is one of the fundamental factors for evaluating of collapse risk in performance-based design engineering field. Calculation of this parameter has been time consuming during past decade. This issue has prevented engineers from determining this parameter in a prevalent and practical way. Furthermore, defining of this value has been found more challenging in a near-source region due to special characteristics of its pulse-like records which make the collapse capacity more dependent on period ratio, T/Tp. In this study, amethod is proposed to obtain collapse capacity of reinforced concrete (RC) structures considering two main variables effecting columns behavior: axial load ratio and confinement ratio. The mentioned methodeschews the intensive computational challenges of incremental dynamic analyses to find collapse probability. By the proposed approach, the pulse period impact is incorporated into collapse risk using probabilistic equations. After the role of axial load ratio was illustrated,the resulted collapse probability distributions and the corresponding risk values are obtained for a near-fault site. The resultsexplain that asthe confinement ratio descends, the collapse capacity with near-fault pulse effect is decreased and the risk values are raised consequently. In addition, the results are found in compliance with ASCE acceptable risk value.


1.Ellingwood, B.R. and Wen, Y. Risk-bene_t-based design decisions for low-probability/high consequence earthquake events in Mid-America", Prog. Struct. Engng Mater, 7, pp. 56-70 (2005). DOI:10.1002/pse.191
2. Luco, N., Ellingwood, B.R., Hamburger, R.O., Hooper, J.D., Kimball, J. K., and Kircher, C.A., Risk-targeted versus current seismic design maps for the conterminous United States", SEAOC, Convention Proceedings (2007).
3. ASCE Minimum design loads for buildings and other structures", ASCE/SEI 7-16, American Society of Civil Engineers: Reston, Virginia (2016). 4. Applied Technology Council Quanti_cation of building seismic performance factors (FEMA P695)", NEHRP Recomended Provisions for Seismic Design of New Buildings and Other Structures, FEMA P-695, Federal Emergency Management Agency Washington, D.C (2009). 5. Judd, J. and Charney, F. Earthquake risk analysis of structures in structural dynamics", EURODYN 2014, A. Cunha, et al., Editors, Porto, Portugal, pp. 2929- 2938 (2014). 6. Baker, J.W. Quantitative classi_cation of near-fault ground motions using wavelet analysis", Bulletin of the Seismological Society of America, 97(5), pp. 1486-1501 (2007). 7. Baker, J.W. and Cornell, C.A. Vector-valued intensity measures for pulse-like near-fault ground motions", Engineering Structures, 30(4), pp. 1048-1057 (2008). 8. Tehranizadeh, M. and Shanehsazzadeh, H. Nearfault ampli_cation factor by using wavelet method", Research, Development and Practice in Structural Engineering and Construction (2011). DOI: 10.3850/978- 981-08-7920-4 St-35-0117 9. Tehranizadeh, M. and Shanehsazzadeh, H. Directivity e_ects on near fault ampli_cation factor", Urban Earthquake Engineering, Sharif university (April 2011). 10. Youse_, M. and Taghikhany, T. Incorporation of directivity e_ect in probabilistic seismic hazard analysis and disaggregation of Tabriz city", Natural Hazards (2014). DOI 10.1007/s11069-014-1096-5 11. Shahi, S.K. and Baker, J.W. An e_cient algorithm to identify strong velocity pulses in multi-component ground motions", Bulletin of the Seismological Society of America, 104(5), pp. 2456-2466 (2014). 2186 H. Shanehsazzadeh and M. Tehranizadeh/Scientia Iranica, Transactions A: Civil Engineering 26 (2019) 2176{2186 12. Haselton, C.B., Liel, A., Deierlein, G.G., Dean, B.S., and Chou, J.H. Seismic collapse safety of reinforced concrete buildings. I: Assessment of ductile moment frames", Journal of Structural Engineering, 137(4), pp. 481-491 (2010). 13. Liel, A., Haselton, C.B., and Deierlein, G. Seismic collapse safety of reinforced concrete buildings. II: Comparative assessment of nonductile and ductile moment frames", Journal of Structural Engineering, 137(4), pp. 492-502 (2010). 14. Champion, C. and Liel, A. The e_ect of near-fault directivity on building seismic collapse risk", Earthquake Engineering & Structural Dynamics, 41(10), pp. 1391- 1409 (2012). 15. Champion, C. and Liel, A. The e_ect of near-fault directivity on building seismic collapse risk", Final Report to U.S. Geological Survey (Feb. 2010-Jan. 2012). 16. Haselton, C.B., Liel, A., Lange, S., and Deierlein, G. Beam-column element model calibrated for predicting exural response leading to global collapse of RC frame buildings", PEER Report (2007). 17. Baltzopoulos, G., Vamvatsikos, D., and Iervolino, I. Analytical modelling of near-source pulse-like seismic demand for multi-linear backbone oscillators", Earthquake Engng Struct. Dyn, Published online in Wiley Online Library (wileyonlinelibrary.com) (2016). DOI: 10.1002/eqe.2729 18. Moshref, A., Tehranizadeh, M., and Khanmohammadi, M. Investigation of the reliability of nonlinear modeling approaches to capture the residual displacements of RC columns under seismic loading", Bulletin of Earthquake Engineering, 13(8), pp. 2327-2345 (August 2015). 19. Baltzopoulos, G. Structural performance evaluation in near-source conditions", Doctorate Programme in Seismic Risk, XXVII cycle, Universit degliStudi di Napoli Federico II, Naples, Italy, http://wpage. unina. it/iuniervo/doc en/Students.html (2015). 20. Iranian code of practice for seismic resistant design of buildings", Standard No. 2800, 4th edition (2014).