Technical Papers
Jul 5, 2016

Uncertainty and Sensitivity Analysis of Reinforced Concrete Frame Structures Subjected to Column Loss

Publication: Journal of Performance of Constructed Facilities
Volume 31, Issue 1

Abstract

In this study, the variability inherent in the performance of RC frame structures to bridge over a column loss was investigated, considering the uncertainties existing in gravity loads, material properties, and construction geometries. Uncertainty and sensitivity analysis were conducted in tandem to provide the influence and significance of the uncertain parameters on RC frames to resist progressive collapse. Quasi-static pushdown analysis was used to assess the residual load-resisting capacity of structures with an initialized damage. A set of structural models were generated for uncertainty analysis by using the correlation-reduced Latin hypercube sampling method. Sensitivity analysis was performed by independently varying parameters with one standard deviation away from their means. Two typical RC frame structures with different span aspect ratios were taken as the study cases. The macromodeling technique, which was validated by the test results, was used for analysis. The study results indicated that structural uncertainties have significant effects on the behavior of RC frame buildings for mitigating progressive collapse caused by the loss of a ground column. Among the studied uncertain parameters, the gravity loads and the properties of reinforcement have the most effects on the residual load-resisting capacities of damaged frames.

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Acknowledgments

The financial support received from the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry, the National Science Foundation of China (Grant Nos. 51408155, 51378162, 51568004), the China Postdoctoral Science Foundation (2014M551251), the Heilongjiang Postdoctoral Science Foundation (LBH-Z14114), and the Fundamental Research Funds for the Central Universities (HIT. NSRIF. 2015099) are gratefully appreciated.

References

ACI (American Concrete Institute). (2008). “Building code requirements for structural concrete and commentary.” ACI 318-08, Farmington Hills, MI.
ASCE/SEI (Structural Engineering Institute). (2010). “Minimum design loads for buildings and other structures.”, Reston, VA.
Bao, Y., Kunnath, S. K., El-Tawil, S., and Lew, H. S. (2008). “Macromodel-based simulation of progressive collapse: RC frame structures.” J. Struct. Eng., 1079–1091.
DoD (Department of Defense). (2013). “Design of building to resist progressive collapse.”, Washington, DC.
Ellingwood, B., Galambos, T. V., MacGregor, J. G., and Cornell, C. A. (1980). “Development of a probability based load criterion for American National Standard A58—Building code requirement for minimum design loads in buildings and other structures.” National Bureau of Standards, Dept. of Commerce, Washington, DC.
Ellingwood, B. R. (2006). “Mitigating risk from abnormal loads and progressive collapse.” J. Perform. Constr. Facil., 315–323.
Ellingwood, B. R., and Dusenberry, D. O. (2005). “Building design for abnormal loads and progressive collapse.” Comput.-Aided Civ. Infrastruct. Eng., 20(3), 194–205.
Ellingwood, B. R., Smilowitz, R., Dusenberry, D. O., Duthinh, D., Lew, H. S., and Carino, N. J. (2007). “Best practices for reducing the potential for progressive collapse in buildings.”, U.S. Dept. of Commerce, National Institute of Standards and Technology, Gaithersburg, MD.
El-Tawil, S., Li, H., and Kunnath, S. (2013). “Computational simulation of gravity-induced progressive collapse of steel-frame buildings: Current trends and future research needs.” J. Struct. Eng., A2513001.
Fascetti, A., Kunnath, S. K., and Nisticò, N. (2015). “Robustness evaluation of RC frame buildings to progressive collapse.” Eng. Struct., 86, 242–249.
Felippa, C. A. (2000). “A systematic approach to the element-independent corotational dynamics of finite elements.” Center for Aerospace Structures, College of Engineering, Univ. of Colorado, Boulder, CO.
GSA (General Services Administration). (2013). “Alternate path analysis & design guidelines for progressive collapse resistance.” Washington, DC.
JCSS (Joint Committee on Structural Safety). (2001). “Probabilistic model code. Part 2: Live load.” 〈http://www.jcss.byg.dtu.dk/Publications/Probabilistic_Model_Code〉 (May 2011).
Kazemi-Moghaddam, A., and Sasani, M. (2015). “Progressive collapse evaluation of Murrah Federal Building following sudden loss of column G20.” Eng. Struct., 89, 162–171.
Kent, D. C., and Park, R. (1971). “Flexural members with confined concrete.” J. Struct. Div., 97(7), 1969–1990.
Khandelwal, K., and El-Tawil, S. (2011). “Pushdown resistance as a measure of robustness in progressive collapse analysis.” Eng. Struct., 33(9), 2653–2661.
Kim, J., Park, J. H., and Lee, T. H. (2011). “Sensitivity analysis of steel buildings subjected to column loss.” Eng. Struct., 33(2), 421–432.
Le, J. L., and Xue, B. (2014). “Probabilistic analysis of reinforced concrete frame structures against progressive collapse.” Eng. Struct., 76, 313–323.
Lee, T. H., and Mosalam, K. M. (2004). “Probabilistic fiber element modeling of reinforced concrete structures.” Comput. Struct., 82(27), 2285–2299.
Li, M., and Sasani, M. (2015). “Integrity and progressive collapse resistance of RC structures with ordinary and special moment frames.” Eng. Struct., 95, 71–79.
Liu, P. L., and Der Kiureghian, A. (1986). “Multivariate distribution models with prescribed marginals and covariances.” Probab. Eng. Mech., 1(2), 105–112.
Lu, D. G., Cui, S. S., Song, P. Y., and Chen, Z. H. (2011). “Robustness assessment for progressive collapse of framed structures using pushdown analysis methods.” Int. J. Reliab. Saf., 6(1–3), 15–37.
Mander, J. B., Priestley, M. J. N., and Park, R. (1988). “Theoretical stress-strain model for confined concrete.” J. Struct. Eng., 1804–1826.
Mirza, S. A., Hatzinikolas, M., and MacGregor, J. G. (1979). “Statistical descriptions of strength of concrete.” J. Struct. Div., 105(ST6), 1021–1037.
Mirza, S. A., and MacGregor, J. G. (1979a). “Variability in dimensions of reinforced concrete members.” J. Struct. Div., 105(ST4), 751–766.
Mirza, S. A., and MacGregor, J. G. (1979b). “Variability of mechanical properties of reinforcing bars.” J. Struct. Div., 105(ST5), 921–937.
Morone, D. J., and Sezen, H. (2014). “Simplified collapse analysis using data from building experiment.” ACI Struct. J., 111(4), 925–934.
Olsson, A. M. J., and Sandberg, G. E. (2002). “Latin hypercube sampling for stochastic finite element analysis.” J. Eng. Mech., 121–125.
OpenSees [Computer software]. Pacific Earthquake Engineering Research Center, Univ. of California, Berkeley, CA.
Park, J., and Kim, J. K. (2010). “Fragility analysis of steel moment frames with various seismic connection subjected to sudden loss of a column.” Eng. Struct., 32(6), 1547–1555.
Qian, K., and Li, B. (2012a). “Dynamic performance of RC beam-column substructures under the scenario of the loss of a corner column-experimental results.” Eng. Struct., 42, 154–167.
Qian, K., and Li, B. (2012b). “Slab effects on response of reinforced concrete substructures after loss of corner column.” ACI Struct. J., 109(6), 845–856.
Qian, K., and Li, B. (2013). “Performance of three-dimensional reinforced concrete beam-column substructures under loss of a corner column scenario.” J. Struct. Eng., 584–594.
Qian, K., Li, B., and Ma, J. X. (2015a). “Load-carrying mechanism to resist progressive collapse of RC buildings.” J. Struct. Eng., 04014107.
Qian, K., Li, B., and Zhang, Z. W. (2015b). “Testing and simulation of 3D effects on progressive collapse resistance of RC buildings.” Mag. Concr. Res., 67(4), 163–178.
Sasani, M., Bazan, M., and Sagiroglu, S. (2007). “Experimental and analytical progressive collapse evaluation of actual reinforced concrete structure.” ACI Struct. J., 104(6), 731–739.
Scott, M. H., and Fenves, G. L. (2010). “Krylov subspace accelerated Newton algorithm: Application to dynamic progressive collapse simulation of frames.” J. Struct. Eng., 473–480.
Song, B. I., Giriunas, K. A., and Sezen, H. (2014). “Progressive collapse testing and analysis of a steel frame building.” J. Constr. Steel Res., 94, 76–83.
Song, B. I., and Sezen, H. (2013). “Experimental and analytical progressive collapse assessment of a steel frame building.” Eng. Struct., 56, 664–672.
Szyniszewski, S. (2010). “Effects of random imperfections on progressive collapse propagation.” ASCE Structures Congress, ASCE, Reston, VA, 3572–3577.
Vamvatsikos, D., and Cornell, C. A. (2002). “Incremental dynamic analysis.” Earthquake Eng. Struct. Dyn., 31(3), 491–514.
Xu, G., and Ellingwood, B. R. (2011). “Probabilistic robustness assessment of pre-Northridge steel moment resisting frames.” J. Struct. Eng., 925–934.
Yi, W. J., He, Q. F., Xiao, Y., and Kunnath, K. (2008). “Experimental study on progressive collapse-resistant behavior of reinforced concrete frame structures.” ACI Struct. J., 105(4), 433–439.

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Go to Journal of Performance of Constructed Facilities
Journal of Performance of Constructed Facilities
Volume 31Issue 1February 2017

History

Received: Jul 23, 2015
Accepted: Apr 13, 2016
Published online: Jul 5, 2016
Discussion open until: Dec 5, 2016
Published in print: Feb 1, 2017

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Authors

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Xiao Hui Yu, Ph.D. [email protected]
Assistant Professor, Key Lab of Structural Dynamic Behavior and Control of the Ministry of Education, Harbin Institute of Technology, Harbin 150090, China. E-mail: [email protected]
Da Gang Lu, Ph.D. [email protected]
Professor, Key Lab of Structural Dynamic Behavior and Control of the Ministry of Education, Harbin Institute of Technology, Harbin 150090, China. E-mail: [email protected]
Kai Qian, Ph.D., M.ASCE [email protected]
Professor, College of Civil Engineering and Architecture, Guangxi Univ., Nanning 530004, China. E-mail: [email protected]
Bing Li, Ph.D., M.ASCE [email protected]
Associate Professor, School of Civil and Environmental Engineering, Nanyang Technological Univ., Singapore 639798 (corresponding author). E-mail: [email protected]

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