Robustness of Load and Resistance Design Factors for RC Columns with Wind-Dominated Combination Considering Random Eccentricity
Publication: Journal of Structural Engineering
Volume 143, Issue 4
Abstract
Based on the capacity models in the 2008 edition of the American Concrete Institute (ACI) Standard Building Code Requirements for Structural Concrete, a more realistic limit state function is built for reinforced concrete columns with random eccentricity. Then, we discuss the applicability of the load and resistance factors in the code, which is mainly based on reliability calibrations with a fixed eccentricity criterion. Taking the wind-dominated combination as an example, representative cases are established by selecting typical values of four related design parameters. Using the load and resistance models in previous reliability calibration of the code, the probabilistic distribution of eccentricity and the statistics of column resistance are analyzed for each case. The analysis indicates that the possible eccentricity shows a scatter over a large range, and the probabilistic model of column resistance varies from case to case, which is largely different from the constant resistance model assumed in previous reliability calibration. With Monte Carlo simulation (MCS), the column reliability is calculated and obtained for different cases. The results show that the fixed eccentricity criterion underestimates the reliability differences among cases and overestimates the column reliability in some tension failure cases. To attain a robust design, an improved measure is recommended by selecting optimum wind load factors varying with cases. The new calibration results prove that the recommended measures can achieve the goal better.
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Acknowledgments
The research is supported by the National Natural Science Foundation of China (Grant No. 51678072), the National Key Basic Research Program of China (Grant No. 2015CB057705), and China Scholarship Council (Grant No. 201308430311). This support is gratefully acknowledged.
References
ACI (American Concrete Institute). (2008). “Building code requirements for structural concrete and commentary.”, Farmington Hills, MI.
Anitori, G., Casas, J. R., and Ghosn, M. (2013). “Redundancy and robustness in the design and evaluation of bridges: European and North American perspectives.” J. Bridge Eng., 1241–1251.
Breccolotti, M., and Materazzi, A. L. (2010). “Structural reliability of eccentrically-loaded sections in RC columns made of recycled aggregate concrete.” Eng. Struct., 32(11), 3704–3712.
Ching, J., Phoon, K. K., Chen, J. R., and Park, J. H. (2013). “Robustness of constant load and resistance factor design factors for drilled shafts in multiple strata.” J. Geotech. Geoenviron. Eng., 1104–1114.
Ellingwood, B. R., Galambos, T. V., MacGregor, J. G., and Cornell, C. A. (1980). “Development of a probability based load criterion for American national standard A58.”, National Bureau of Standards, Washington, DC.
Frangopol, D. M., Ide, Y., Spacone, E., and Iwaki, I. (1996). “A new look at reliability of reinforced concrete columns.” Struct. Saf., 18(2), 123–150.
Hong, H. P., and Zhou, W. (1999). “Reliability evaluation of RC columns.” J. Struct. Eng., 784–790.
Jiang, Y., Sun, G., He, Y., Beer, M., and Zhang, J. (2015). “A nonlinear model of failure function for reliability analysis of RC frame columns with tension failure.” Eng. Struct., 98(1), 74–80.
Jiang, Y., and Yang, W. (2013). “An approach based on theorem of total probability for reliability analysis of RC columns with random eccentricity.” Struct. Saf., 41(1), 37–46.
Li, C. Q., and Melchers, R. E. (1995). “Failure probability of reinforced concrete columns under stochastic loads.” Eng. Struct., 17(6), 419–424.
Li, Y. (2008). “Wind damage mechanism analysis of a double-cantilever aqueduct bridge.” J. Tongji Univ.: Nat. Sci., 36(11), 1485–1489 (in Chinese).
Li, Y., and Ellingwood, B. R. (2006). “Hurricane damage to residential construction in the US: Importance of uncertainty modeling in risk assessment.” Eng. Struct., 28(7), 1009–1018.
Masoero, E., Wittel, F. K., Herrmann, H. J., and Chiaia, B. M. (2012). “Hierarchical structures for a robustness-oriented capacity design.” J. Eng. Mech, 1339–1347.
Milner, D. M., Spacone, E., and Frangopol, D. M. (2001). “New light on performance of short and slender reinforced concrete columns under random loads.” Eng. Struct., 23(2), 147–157.
Mirza, S. A. (1996). “Reliability-based design of reinforced concrete columns.” Struct. Saf., 18(2), 179–194.
Mirza, S. A., and Lacroix, E. A. (2002). “Comparative study of strength-computation methods for rectangular reinforced concrete columns.” ACI Struct. J., 99(4), 399–410.
Mohamed, A., Soares, R., and Venturini, W. S. (2001). “Partial safety factors for homogeneous reliability of nonlinear reinforced concrete columns.” Struct. Saf., 23(2), 137–156.
Oh, M., Lee, M. K., and Kim, N. (2010). “Robust design of roll-formed slide rail using response surface method.” J. Mech. Sci. Technol., 24(12), 2545–2553.
Sandgren, M., and Cameron, T. M. (2002). “Robust design optimization of structures through consideration of variation.” Comput. Struct., 80(20), 1605–1613.
Stewart, M. G., and Attard, M. M. (1999). “Reliability and model accuracy for high-strength concrete column design.” J. Struct. Eng., 290–300.
Szerszen, M. M., and Nowak, A. S. (2003). “Calibration of design code for buildings (ACI 318). Part 1—Statistical models for resistance.” ACI Struct. J., 100(3), 377–382.
Szerszen, M. M., Szwed, A., and Nowak, A. S. (2005). “Reliability analysis for eccentrically loaded columns.” ACI Struct. J., 102(5), 656–688.
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Published In
Journal of Structural Engineering
Volume 143 • Issue 4 • April 2017
Copyright
©2016 American Society of Civil Engineers.
History
Received: Dec 22, 2015
Accepted: Oct 11, 2016
Published online: Nov 28, 2016
Published in print: Apr 1, 2017
Discussion open until: Apr 28, 2017
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