Robustness Assessment of Reinforced Concrete Frames under Progressive Collapse Hazards: Novel Risk-Based Framework
Publication: Journal of Structural Engineering
Volume 147, Issue 8
Abstract
Robustness assessment is an important component for performance-based progressive collapse design. However, existing methods either do not consider the cascading failure feature of progress collapse, or fail to recognize the randomness in material, geometrical and loading parameters. This paper presents a novel robustness assessment methodology for progressive collapse design of reinforced concrete frames. The proposed methodology includes several novelties: First, it uses a new risk-based robustness index recently developed by the authors. The index quantifies the whole spectrum of risk caused by initiating hazardous events. Second, it includes a unique directional simulation technique, making probabilistic nonlinear pushdown analysis a computationally affordable task. Finally, the assessment can assist in determining if an enhancement design is warranted for such a low-probability-high-consequence event. The study examined four different frame designs to evaluate the effectiveness of seismic and progressive collapse design provisions. The Alternate Path Method (APM) was shown to improve structural robustness significantly, although achieved with considerable additional cost. Ductility designed for seismic loading was also shown to be beneficial for structural robustness against progressive collapse.
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Data Availability Statement
Some or all of the data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The first author wants to thank CNPq Brazil for its financial support. The study was also partially supported by Natural Science and Engineering Research Council, Canada, under the Discovery Grant program. Special thanks are due to one of the anonymous reviewers who pointed out the approximate K value of the Alfred Murrah Building.
References
Baker, J. W., M. Schubert, and M. H. Faber. 2008. “On the assessment of robustness.” Struct. Saf. 30 (3): 253–267. https://doi.org/10.1016/j.strusafe.2006.11.004.
Bao, Y. H., J. A. Main, and S.-Y. Noh. 2017. “Evaluation of structural robustness against column loss: Methodology and application to RC frame buildings.” J. Struct. Eng. 143 (8): 04017066. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001795.
Bartlett, F., H. Hong, and W. Zhou. 2003. “Load factor calibration for the proposed 2005 edition of the National Building Code of Canada: Statistics of loads and load effects.” Can. J. Civ. Eng. 30 (2): 429–439. https://doi.org/10.1139/l02-087.
Brunesi, E., and R. Nascimbene. 2014. “Extreme response of reinforced concrete buildings through fiber force-based finite element analysis.” Eng. Struct. 69 (Jun): 206–215. https://doi.org/10.1016/j.engstruct.2014.03.020.
Brunesi, E., R. Nascimbene, F. Parisi, and N. Augenti. 2015. “Progressive collapse fragility of reinforced concrete framed structures through incremental dynamic analysis.” Eng. Struct. 104 (Dec): 65–79. https://doi.org/10.1016/j.engstruct.2015.09.024.
Brunesi, E., and F. Parisi. 2017. “Progressive collapse fragility models of European reinforced concrete framed buildings based on pushdown analysis.” Eng. Struct. 152 (Dec): 579–596. https://doi.org/10.1016/j.engstruct.2017.09.043.
Chen, Y.-L., L. Huang, Y.-Q. Lu, L. Deng, and H.-Z. Tan. 2016. “Assessment of structural robustness under different events according to vulnerability.” J. Perform. Constr. Facil. 30 (5): 04016004. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000854.
Cizmar, D., P. H. Kirkegaard, J. D. Sorensen, and V. Rajcic. 2011. “Reliability-based robustness analysis for a Croatian sports hall.” Eng. Struct. 33 (11): 3118–3124. https://doi.org/10.1016/j.engstruct.2011.05.006.
CSA (Canadian Standard Association). 2014. Design of concrete structures. Mississauga, ON, Canada: CSA.
Droogne, D., W. Botte, and R. Caspeele. 2018. “A multilevel calculation scheme for risk-based robustness quantification of reinforced concrete frames.” Eng. Struct. 160 (Apr): 56–70. https://doi.org/10.1016/j.engstruct.2017.12.052.
Ellingwood, B. R. 2006. “Mitigating risk from abnormal loads and progressive collapse.” J. Perform. Constr. Facil. 20 (4): 315–323. https://doi.org/10.1061/(ASCE)0887-3828(2006)20:4(315).
Fallon, C. T., S. E. Quiel, and C. J. Naito. 2016. “Uniform pushdown approach for quantifying building-frame robustness and the consequence of disproportionate collapse.” J. Perform. Constr. Facil. 30 (6): 04016060. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000912.
Fascetti, A., S. K. Kunnath, and N. Nistico. 2015. “Robustness evaluation of RC frame buildings to progressive collapse.” Eng. Struct. 86 (Mar): 242–249. https://doi.org/10.1016/j.engstruct.2015.01.008.
Felipe, T. R. C., V. G. Haach, and A. T. Beck. 2018. “Systematic reliability-based approach to progressive collapse.” ASCE-ASME J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 4 (4): 04018039. https://doi.org/10.1061/AJRUA6.0000990.
Feng, D.-C., S.-C. Xie, J. Xu, and K. Qian. 2020. “Robustness quantification of reinforced concrete structures subjected to progressive collapse via the probability density evolution method.” Eng. Struct. 202 (Jan): 109877. https://doi.org/10.1016/j.engstruct.2019.109877.
Ferraioli, M. 2019. “Dynamic increase factor for nonlinear static analysis of RC frame buildings against progressive collapse.” Int. J. Civ. Eng. 17: 281–303. https://doi.org/10.1007/s40999-017-0253-0.
Frangopol, D., and J. Curley. 1987. “Effects of damage and redundancy on structural reliability.” J. Struct. Eng. 113 (7): 1533–1549. https://doi.org/10.1061/(ASCE)0733-9445(1987)113:7(1533).
GSA (General Services Administration). 2013. Alternate path analysis & design guidelines for progressive collapse resistance. Washington, DC: GSA.
Hayes, J. R., S. C. Woodson, R. G. Pekelnicky, C. D. Poland, W. G. Corley, and M. Sozen. 2005. “Can strengthening for earthquake improve blast and progressive collapse resistance?” J. Struct. Eng. 131 (8): 1157–1177. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:8(1157).
He, X.-H.-C., X.-X. Yuan, and W.-J. Yi. 2019. “Irregularity index for quick identification of worst column removal scenarios of RC frame structures.” Eng. Struct. 178 (Jan): 191–205. https://doi.org/10.1016/j.engstruct.2018.10.026.
Hewitt, C. 2003. Understanding terrorism in America. London: Routledge.
Izzuddin, B. A., A. G. Vlassis, A. Y. Elghazouli, and D. A. Nethercot. 2008. “Progressive collapse of multi-storey buildings due to sudden column loss—Part I: Simplified assessment framework.” Eng. Struct. 30 (5): 1308–1318. https://doi.org/10.1016/j.engstruct.2007.07.011.
Jiang, L. Q., and J. H. Ye. 2018. “Risk-based robustness assessment of steel frame structures to unforeseen events.” Civ. Eng. Environ. Syst. 35 (1–4): 117–138. https://doi.org/10.1080/10286608.2018.1543283.
Kendall, J., and T. Rohrlich. 1985. “Girders tumble at L.A. building site; 3 killed Heavy steel I-beams fall 11 floors at downtown office tower, rip through to basement level.” Los Angeles Times. Accessed October 22, 2020. https://www.latimes.com/archives/la-xpm-1985-12-19-mn-30342-story.html.
Khandelwal, K., and S. El-Tawil. 2011. “Pushdown resistance as a measure of robustness in progressive collapse analysis.” Eng. Struct. 33 (9): 2653–2661. https://doi.org/10.1016/j.engstruct.2011.05.013.
Kunnath, S. K., Y. Bao, and S. El-Tawil. 2018. “Advances in computational simulation of gravity-induced disproportionate collapse of RC frame buildings.” J. Struct. Eng. 144 (2): 03117003. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001938.
Lew, H. S., Y. Bao, S. Pujol, and M. A. Sozen. 2014. “Experimental study of reinforced concrete assemblies under column removal scenario.” ACI Struct. J. 111 (4): 881–892. https://doi.org/10.14359/51686739.
Li, Y., X. Z. Lu, H. Guan, P. Q. Ren, and L. P. Qian. 2016. “Probability-based progressive collapse-resistant assessment for reinforced concrete frame structures.” Adv. Struct. Eng. 19 (11): 1723–1735. https://doi.org/10.1177/1369433216649385.
Mander, T. J., and A. B. Matamoros. 2019. “Constitutive modeling and overstrength factors for reinforcing steel.” ACI Struct. J. 116 (3): 219–232. https://doi.org/10.14359/51713320.
Mashhadi, J., and H. Saffari. 2017. “Modification of dynamic increase factor to assess progressive collapse potential of structures.” J. Constr. Steel Res. 138 (Nov): 72–78. https://doi.org/10.1016/j.jcsr.2017.06.038.
McKay, A., K. Marchand, and M. Diaz. 2012. “Alternate path method in progressive collapse analysis: Variation of dynamic and nonlinear load increase factors.” Pract. Period. Struct. Des. Constr. 17 (4): 152–160. https://doi.org/10.1061/(ASCE)SC.1943-5576.0000126.
McKenna, F., G. Fenves, and M. Scott. 2013. “Open system for earthquake engineering simulation—Opensees version 3.2.2.” Accessed August 1, 2020. https://opensees.berkeley.edu.
Melchers, R. 1994. “Structural system reliability assessment using directional simulation.” Struct. Saf. 16 (1–2): 23–37. https://doi.org/10.1016/0167-4730(94)00026-M.
Mirza, S., and B. Skrabek. 1992. “Statistical analysis of slender composite beam-column strength.” J. Struct. Eng. 118 (5): 1312–1332. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:5(1312).
NBC (National Research Council). 2015. National building code of Canada. Ottawa: NRC.
Nie, J., and B. R. Ellingwood. 2000. “Directional methods for structural reliability analysis.” Struct. Saf. 22 (3): 233–249. https://doi.org/10.1016/S0167-4730(00)00014-X.
Nowak, A., and M. Szerszen. 2003. “Calibration of design code for buildings (ACI 318): Part 1—Statistical models for resistance.” ACI Struct. J. 100 (3): 377–382.
Praxedes, C., X.-X. Yuan, and X.-H.-C. He. 2021. “A novel robustness index for progressive collapse analysis of structures considering the full risk spectrum of damage evolution.” Struct. Infrastruct. Eng. 1–19. https://doi.org/10.1080/15732479.2020.1851730.
Qian, K., B. Li, and J.-X. Ma. 2015. “Load-carrying mechanism to resist progressive collapse of RC buildings.” J. Struct. Eng. 141 (2): 04014107. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001046.
Samman, M., and H. Erbatur. 1995. “Steel ratios for cost optimum reinforced concrete beams.” Build. Environ. 30 (4): 545–551. https://doi.org/10.1016/0360-1323(95)00017-Z.
Seck, E. H. B., S. Ortola, and L. Davenne. 2018. “From initial localized failures to collapse of structures in a probabilistic context.” Eur. J. Environ. Civ. Eng. 22 (12): 1499–1510. https://doi.org/10.1080/19648189.2017.1308887.
Shayanfar, M. A., M. A. Barkhordari, M. Barkhori, and M. Barkhori. 2018. “An adaptive directional importance sampling method for structural reliability analysis.” Struct. Saf. 70 (Jan): 14–20. https://doi.org/10.1016/j.strusafe.2017.07.006.
Stewart, M. G. 2017. “Risk of progressive collapse of buildings from terrorist attacks: Are the benefits of protection worth the cost?” J. Perform. Constr. Facil. 31 (2): 04016093. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000954.
Thons, S., and M. G. Stewart. 2020. “On the cost-efficiency, significance and effectiveness of terrorism risk reduction strategies for buildings.” Struct. Saf. 85 (Jul): 101957. https://doi.org/10.1016/j.strusafe.2020.101957.
Xu, G. Q., and B. R. Ellingwood. 2011a. “An energy-based partial pushdown analysis procedure for assessment of disproportionate collapse potential.” J. Constr. Steel Res. 67 (3): 547–555. https://doi.org/10.1016/j.jcsr.2010.09.001.
Xu, G. Q., and B. R. Ellingwood. 2011b. “Probabilistic robustness assessment of pre-Northridge steel moment resisting frames.” J. Struct. Eng. 137 (9): 925–934. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000403.
Xue, B., and J.-L. Le. 2016. “Simplified energy-based analysis of collapse risk of reinforced concrete buildings.” Struct. Saf. 63 (Nov): 47–58. https://doi.org/10.1016/j.strusafe.2016.07.003.
Yu, X. H., D. G. Lu, K. Qian, and B. Li. 2017. “Uncertainty and sensitivity analysis of reinforced concrete frame structures subjected to column loss.” J. Perform. Constr. Facil. 31 (1): 04016069. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000930.
Yuan, X.-X. 2000. Study on seismic design theory and methods for reinforced concrete frame structures. MASc thesis, College of Civil Engineering, Hunan Univ.
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Received: Nov 2, 2020
Accepted: Mar 22, 2021
Published online: Jun 15, 2021
Published in print: Aug 1, 2021
Discussion open until: Nov 15, 2021
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