Considering the Yielding Displacement Uncertainty in Reliability of Mid-Rise R.C. Structures

Document Type : Regular Paper

Authors

1 Maroon Dam Power Plant & Irrigation Network Operation Company, Behbahan, Iran

2 Department of Civil Engineering, University of Kurdistan, Sanandaj, Iran

3 Department of Engineering, Behbahan Khatam Alanbia University of Technology, Behbahan, Iran

Abstract

In structural analysis and design, there are always uncertainties in determining loads and capacities. Structural reliability quantitatively considered uncertainties in analysis and design procedure. One of the well-known criteria to assess structural reliability is the Total Reliability Index (TRI) of structures. Yielding Displacement (YD) is an important component for calculations of TRI. Due to the changes in the analysis method, input type, normalization procedure, and the definition of target displacement, there are uncertainties in YD calculation. In structural reliability studies, both loads and resistance parameters are modeled as random variables. Therefore, the YD can be considered as a random variable. This study utilizes incremental dynamic analysis (IDA) to calculate TRI in mid-rise reinforced concrete moment resistant frames with intermediate ductility. The effect of uncertainty caused by YD is calculated based on pushover dynamic analysis. The reliability indices for the six structures of 3, 5, and 8 stories and three and five-span reinforced concrete moment frames show that the uncertainty caused by the YD reduces the TRI, but does not affect the seismic performance of the structure, significantly.

Keywords

Main Subjects

References

[1] FEMA-273 (1997), NEHRP Guidelines for the Seismic Rehabilitation of Buildings, Federal Emergency Management Agency; Washington D.C., USA.
 [2] Cornell, C. A. and Krawinkler, H. (2000), “Progress and challenges in seismic performance assessment”, PEER Center News, 3(2), http://peer.berkeley.edu/news/2000spring/ performance.html
[3] Baker, J. W. and Cornell, C. A. (2008), “Uncertainty propagation in probabilistic loss estimation”, Structural Safety, 30(3), 236-252.
https://doi.org/10.1016/j.strusafe.2006.11.003
[4] SAC Joint Venture (2000a), Recommended seismic design criteria for new steel moment frame buildings, Rep. No. FEMA-350, Federal Emergency Management Agency; Washington, D.C., USA.
[5] SAC Joint Venture (2000b), Recommended seismic evaluation and upgrade criteria for existing welded steel moment frame buildings, Rep. No. FEMA-351, Federal Emergency Management Agency; Washington, D.C., USA.
[6] SAC Joint Venture (2000c), Recommended postearthquake evaluation and repair criteria for welded steel moment frame buildings, Rep. No.FEMA-352, Federal Emergency Management Agency; Washington, D.C., USA.
[7] Hamburger, R., (1996), “Performance-based seismic engineering: The next generation of structural engineering practice”, EQE Summary Report.
[8] Yun, S. Y., Hamburger, R. O., Cornell, C. A. and Foutch, D. A. (2002), “Seismic performance evaluation for steel moment frames”, Journal of Structural Engineering, 128(4), 534-545. https://doi.org/10.1061/(ASCE)0733-9445 (2002) 128: 4 (534)
[9] Dolšek, M. (2012), “Simplified method for seismic risk assessment of buildings with consideration of aleatory and epistemic uncertainty”, Structure and infrastructure engineering, 8(10), 939-953.
https://doi.org/10.1080/15732479.2011.574813
[10] Yazdani, A., Salehi, H., & Shahidzadeh, M. S. (2018). “A modified three-parameter lognormal distribution for seismic demand assessment considering collapse data”. KSCE Journal of Civil Engineering, 22(1), 204-212.‏
DOI 10.1007/s12205-017-1820-2
[11] Yazdani, A., Mehrabi Moghaddam, A. and Shahidzadeh. M.S. (2018), “Parametric Assessment of Uncertainties in Reliability Index of Reinforced Concrete MRF Structures Using Incremental Dynamic Analysis”, Amirkabir J. Civil Eng., 49(4), 755-768.
https://dx.doi.org/10.22060/ceej.2016.707
 [12] Gaxiola-Camacho, J. R., Haldar, A., Reyes-Salazar, A., Valenzuela-Beltran, F., Vazquez-Becerra, G. E. and Vazquez-Hernandez, A. O. (2018), “Alternative reliability-based methodology for evaluation of structures excited by earthquakes”, Earthquake and Structures, 14(4), 361-377.
http://dx.doi.org/10.12989/eas.2018.14.4.361
[13] Noori, H., & Memarpour, M. M. (2018). Effects of Ground Motion Directionality on the Seismic Behavior of Mid-rise Concrete Buildings with Considering Unequal Live-Load Distribution in Height. Journal of Rehabilitation in Civil Engineering, 6(1), 58-69.
https://dx.doi.org/10.22075/jrce.2017.11679.1198
[14] Ge, B., & Kim, S. (2020). Determination of appropriate updating parameters for effective life-cycle management of deteriorating structures under uncertainty. Structure and Infrastructure Engineering, 1-15.‏
https://doi.org/10.1080/15732479.2020.1809466
[15] Nguyen, H. D., Shin, M., & Torbol, M. (2020). “Reliability assessment of a planar steel frame subjected to earthquakes in case of an implicit limit-state function”,  Journal of Building Engineering, 32, 101782. ‏
https://doi.org/10.1016/j.jobe.2020.101782
[16] Rahgozar, N., Pouraminian, M., & Rahgozar, N. (2021). “Reliability-based seismic assessment of controlled rocking steel cores”, Journal of Building Engineering, 44, 102623.
https://doi.org/10.1016/j.jobe.2021.102623
[17] Pouraminian, M., Pourbakhshian, S., Yousefzadeh, H., & Farsangi, E. N. (2021). “Reliability-based linear analysis of low-rise RC frames under earthquake excitation”, Journal of Building Pathology and Rehabilitation, 6(1), 1-8.‏ https://doi.org/10.1007/s41024-021-00128-z
[18] Basim, M. C., Estekanchi, H. E., & Mahsuli, M. (2018). Application of first-order reliability method in seismic loss assessment of structures with Endurance Time analysis. Earthquakes and Structures, 14(5), 437-447.
https://doi.org/10.12989/eas.2018.14.5.437
[19] Okano, H. and Maegawa, T. (2001), “Relationship between safety margin of shear strength and probability of shear failure during reference period in RC building”, J.Struct.Constr. Eng., AIJ, 54(2), 75–81, (In Japanese).
[20] Takada, T. and Yamaguchi, K. (2002), “Two-step seismic limit state design procedure based on non-linear LRFD and dynamic response analyses”, Structural safety, 24(2-4), 397-415.
https://doi.org/10.1016/S0167-4730(02)00034-6
[21] FEMA, American Society of Civil Engineers. Prestandard and Commentary for the Seismic Rehabilitation of Buildings, FEMA-356, Federal Emergency Management Agency, Washington, D.C. 2000.
[22] Tasnimi, A.A. and Vaziri Vafa, M. (2014).  “Amelioration of the nonlinear seismic responses of RC structures based on the yield displacement (On the Comparison of CSA and YPS analysis methods)”. IQBQ. 14 (20) :171-181. http://mcej.modares.ac.ir/article-16-8485-fa.html
[23] Fragiadakis, M. and Vamvatsikos, D. (2011), “Qualitative comparison of static pushover versus incremental dynamic analysis capacity curves”, In Proceedings of the 7th Hellenic National Conference on Steel Structures, Volos, Greece.
[24] Building & Housing Research Center, BHRC (2015), Iranian code of practice for seismic resistant design of buildings, Standard No. 2800, Publication PNS-253, 4rd Revision, 240, Tehran, Iran. (In Persian).
[25] Iranian National Building Code for Structural Loading-Standard 519, part 6, (2013), Ministry of Housing and Urban Development, Tehran, Iran, in Persian.
[26] Iranian National Building Code for RC Structure Design, part 9, (2013), Ministry of Housing and Urban Development, Tehran, Iran, in Persian.
[27] Cornell, C. A., Jalayer, F., Hamburger, R. O. and Foutch, D. A. (2002), “Probabilistic basis for 2000 SAC federal emergency management agency steel moment frame guidelines”, Journal of structural engineering, 128(4), 526-533.‏
https://doi.org/10.1061/(ASCE)0733-9445(2002) 128: 4 (526)
[28] Jalayer, F. and Cornell, C.A. (2003), “A technical framework for probability-based demand and capacityfactor (DCFD) seismic formats”, Report No. RMS-43; RMS Program, Stanford University, Stanford.
[29] Yazdani, A., Nicknam, A., Khanzadi, M. and Motaghed, S. (2015), “An artificial statistical method to estimate seismicity parameter from incomplete earthquake catalogs, a case study in metropolitan Tehran, Iran”, Scientia Iranica, 22(2), 400-409.
http://scientiairanica.sharif.edu/article_1874.html
[30] Vamvatsikos, D. and Cornell, C. A. (2002), “Incremental dynamic analysis”, Earthquake Engineering & Structural Dynamics, 31(3), 491-514. https://doi.org/10.1193%2F1.1737737
[31] Jalayer, F. and Cornell, C. A. (2009), “Alternative non‐linear demand estimation methods for probability‐based seismic assessments”, Earthquake Engineering & Structural Dynamics, 38(8), 951-972.
https://doi.org/10.1002/eqe.876
[32] Romão, X., Delgado, R. and Costa, A. (2012), “Statistical characterization of structural demand under earthquake loading. Part 1: Robust estimation of the central value of the data”, Journal of Earthquake Engineering, 16(5), 686-718.
https://doi.org/10.1080/13632469.2012.669514
[33] Tasnimi, A. A. (2000). “Strength and deformation of mid-rise shear walls under load reversal” Engineering Structures, 22(4), 311-322.‏
https://doi.org/10.1016/S0141-0296(98)00110-2
[34] Kirçil, M. S., & Polat, Z. (2006). “Fragility analysis of mid-rise R/C frame buildings” Engineering Structures, 28(9), 1335-1345.‏
https://doi.org/10.1016/j.engstruct.2006.01.004
[35] Ibrahim, Y. E., & El-Shami, M. M. (2011). “Seismic fragility curves for mid-rise reinforced concrete frames in Kingdom of Saudi Arabia” The IES Journal Part A: Civil & Structural Engineering, 4(4), 213-223.‏
https://doi.org/10.1080/19373260.2011.609325
[36] Reinhorn, A.M., Kunnath, S.K. and Valles-Mattox, R. (2009), IDARC2D Version 7.0: A computer program for the inelastic damage analysis of reinforced concrete buildings, State University of New York at Buffalo.
[37] Bracci, J.M., Reinhorn, A.M. and Mander J.B. (1992), “Evaluation of seismic retrofit of reinforced concrete frame structures: Part II—Experimental performance and analytical study of a retrofitted structural model”, Technical report NCEER-92-0031; National Center for Earthquake Engineering Research, SUNY/Buffalo.
https://nehrpsearch.nist.gov/article/PB93-198315/XAB
[38] Sadjadi, R., Kianoush, M.R. and Talebi, S. (2007). “Seismic performance of reinforced concrete moment resisting frames”. Engineering Structures, 29(9), 2365–2380.
https://doi.org/10.1016/j.engstruct.2006.11.029
[39] Shome, N. and Cornell, C.A. (1999), “Probabilistic seismic demand analysis of nonlinear structures”, Report No.RMS-35; Stanford University, Stanford, California.
https://nehrpsearch.nist.gov/article/PB99-143372/XAB
[40] Baker, J. W. and Cornell, C.A. (2005), “A vector‐valued ground motion intensity measure consisting of spectral acceleration and epsilon”, Earthquake Engineering & Structural Dynamics, 34(10), 1193-1217.
https://doi.org/10.1002/eqe.474
[41] Baker, J.W. and Cornell, C.A. (2006), “Spectral shape, epsilon and record selection”, Earthquake Engineering & Structural Dynamics, 35(9), 1077-1095.
https://doi.org/10.1002/eqe.571
 [42] Burks, L. S. and Baker, J. W. (2012), “Occurrence of negative epsilon in seismic hazard analysis deaggregation, and its impact on target spectra computation”, Earthquake Engineering & Structural Dynamics, 41(8), 1241-1256.
https://doi.org/10.1002/eqe.1183
[43]  Yazdani, A., Shahpari, A. and Salimi, M. R. (2012), “The use of Monte-Carlo simulations in seismic hazard analysis in Tehran and surrounding areas”, International Journal of Engineering-Transactions C: Aspects, 25(2), 159-166.
http://www.ije.ir/article_71996.html
[44] De Luca, F., Vamvatsikos, D., & Iervolino, I. (2013). Near‐optimal piecewise linear fits of static pushover capacity curves for equivalent SDOF analysis. Earthquake engineering & structural dynamics, 42(4), 523-543.
‏[45] D’Ayala D., Meslem A., Vamvastikos D., Porter, K., Rossetto T., Crowley H., Silva V. (2014) Guidelines for Analytical Vulnerability Assessment of low-mid-rise Buildings – Methodology, Vulnerability Global Component project.
[46] ISO2394 (1998), General principles on reliability for structures, 2nd edn, Geneve, Switzerland: ISO.

Files

Cited by

History

  • Receive Date: 25 January 2020
  • Revise Date: 11 November 2021
  • Accept Date: 14 November 2021

Share

How to cite

Statistics