Development of Rotation Capacity Model for Web Cleat Connections against Progressive Collapse: Bayesian Approach
Publication: Journal of Structural Engineering
Volume 148, Issue 5
Abstract
Catenary action is recognized as one of the main resistance mechanisms for typical steel frame structures against progressive collapse. As a result of catenary action, large rotation, and axial tension demand are applied to the steel connection. Since the failure of the steel connection under catenary action is dominated by the tensile fracture of the steel component, the ultimate rotation capacity of a steel connection is controlled by the ultimate deformation capacity of the steel component. This paper proposes a calibration method for web cleat connections to evaluate the rotation capacity under column loss scenarios. The proposed method incorporates both component tests of bolted angle under tensile load conditions and structural tests of web cleat connections under column loss scenarios. First, the ultimate deformation capacity of bolted angle is developed based on the component test data. Next, the relationship between the ultimate deformation capacity of the component and the rotation capacity of the steel connection is investigated. An analytical model is established to evaluate the rotation capacity of a steel connection. Finally, based on the experimental tests of web cleat connections under simulated column loss scenarios and component tests of bolted angles, the likelihood function and the prior density function of the model parameters are developed. The component tests and structural tests are combined using Bayesian theory and the Markov chain Monte Carlo simulation method. Comparison studies show that the developed model achieves higher model accuracy against the existing equations. The proposed calibration method provides new insight into the development of the rotation capacity of steel connections, especially when the experimental test of steel connections against progressive collapse is limited.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The selfless help from Prof. Yanglin Gong (Lakehead University, Canada) is greatly acknowledged.
References
AISC. 2010. Specification for structural steel buildings. AISC 360. Chicago: AISC.
Béland, T., C. R. Bradley, J. Nelson, J. G. Sizemore, A. Davaran, R. Tremblay, E. M. Hines, and L. A. Fahnestock. 2020. “Experimental parametric characterization of bolted angle connection behavior.” J. Struct. Eng. 146 (8): 0002662. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002662.
CEN (European Committee for Standardization). 2005. Eurocode 3: Design of steel structures—Part 1-8: Design of joints. BS EN 1993-1-8: 2005. Brussels, Belgium: CEN.
Daneshvar, H., and R. G. Driver. 2019. “One-sided steel shear connections in progressive collapse scenario.” J. Archit. Eng. 25 (2): 04019009. https://doi.org/10.1061/(ASCE)AE.1943-5568.0000354.
El-Tawil, S., H. Li, and S. Kunnath. 2014. “Computational simulation of gravity-induced progressive collapse of steel-frame buildings: Current trends and future research needs.” J. Struct. Eng. 140 (8): A2513001. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001938.
Gardoni, P., A. Der Kiureghian, and K. A. Mosalam. 2002. “Probabilistic capacity models and fragility estimates for reinforced concrete columns based on experimental observations.” J. Eng. Mech. 128 (10): 1024–1038. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:10(1024).
Gardoni, P., K. M. Mosalam, and A. Der Kiureghian. 2003. “Probabilistic seismic demand models and fragility estimates for RC bridges.” J. Earthquake Eng. 7 (Special Issue 1): 79–106. https://doi.org/10.1142/S1363246903001024.
Gong, Y. 2014. “Ultimate tensile deformation and strength capacities of bolted-angle connections.” J. Constr. Steel Res. 100 (Sep): 50–59. https://doi.org/10.1016/j.jcsr.2014.04.029.
Gong, Y. 2017. “Test, modeling and design of bolted-angle connections subjected to column removal.” J. Constr. Steel Res. 139 (Dec): 315–326. https://doi.org/10.1016/j.jcsr.2017.10.004.
GSA (General Services Administration). 2016. Alternate path analysis and design guidelines for progressive collapse resistance. Washington, DC: GSA.
Haario, H., M. Laine, A. Mira, and E. Saksman. 2006. “DRAM: Efficient adaptive MCMC.” Stat. Comput. 16 (4): 339–354. https://doi.org/10.1007/s11222-006-9438-0.
Hao, H. 2015. “Predictions of structural response to dynamic loads of different loading rates.” Int. J. Prot. Struct. 6 (4): 585–605. https://doi.org/10.1260/2041-4196.6.4.585.
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.
Li, H., and S. El-Tawil. 2014. “Three-dimensional effects and collapse resistance mechanisms in steel frame buildings.” J. Struct. Eng. 140 (8): A4014017. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000839.
Liu, J., J. Main, and F. Sadek. 2012. “Modeling of double-angle shear connections for the evaluation of structural robustness.” In Proc., 6th Congress on Forensic Engineering, 1081–1090. Reston, VA: ASCE. https://doi.org/10.1061/9780784412640.115.
Oosterhof, S. A., and R. G. Driver. 2015. “Behavior of steel shear connections under column-removal demands.” J. Struct. Eng. 141 (4): 04014126. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001073.
Roddis, W. M. K., and D. Blass. 2013. “Tensile capacity of single-angle shear connections considering prying action.” J. Struct. Eng. 139 (4): 504–514. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000678.
Shen, J., and A. Astaneh-Asl. 2000. “Hysteresis model of bolted-angle connections.” J. Constr. Steel Res. 54 (3): 317–343. https://doi.org/10.1016/S0143-974X(99)00070-X.
Shi, Y., Z.-X. Li, and H. Hao. 2010. “A new method for progressive collapse analysis of RC frames under blast loading.” Eng. Struct. 32 (6): 1691–1703. https://doi.org/10.1016/j.engstruct.2010.02.017.
Song, X. 2021. “Probabilistic calibration for rotation capacity models of shear tab connection under column loss scenarios.” Eng. Struct. 229 (Feb): 111592. https://doi.org/10.1016/j.engstruct.2020.111592.
Tasdemirci, A., and I. W. Hall. 2007. “Numerical and experimental studies of damage generation in multi-layer composite materials at high strain rates.” Int. J. Impact Eng. 34 (2): 189–204. https://doi.org/10.1016/j.ijimpeng.2005.08.010.
UFC (Unified Facilities Criteria). 2016. Design of buildings to resist progressive collapse. UFC-4-023-03. Washington, DC: Dept. of Defense, UFC.
Weigand, J. M., and J. W. Berman. 2016. “Integrity of bolted angle connections subjected to simulated column removal.” J. Struct. Eng. 142 (3): 04015165. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001429.
Yang, B., and K. H. Tan. 2012. “Numerical analyses of steel beam–column joints subjected to catenary action.” J. Constr. Steel Res. 70 (Mar): 1–11. https://doi.org/10.1016/j.jcsr.2011.10.007.
Yang, B., and K. H. Tan. 2013a. “Experimental tests of different types of bolted steel beam–column joints under a central-column-removal scenario.” Eng. Struct. 54 (Sep): 112–130. https://doi.org/10.1016/j.engstruct.2013.03.037.
Yang, B., and K. H. Tan. 2013b. “Robustness of bolted-angle connections against progressive collapse: Experimental tests of beam-column joints and development of component-based models.” J. Struct. Eng. 139 (9): 1498–1514. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000749.
Yang, B., and K. H. Tan. 2013c. “Robustness of bolted-angle connections against progressive collapse: Mechanical modelling of bolted-angle connections under tension.” Eng. Struct. 57 (Dec): 153–168. https://doi.org/10.1016/j.engstruct.2013.08.041.
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Published In
Journal of Structural Engineering
Volume 148 • Issue 5 • May 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Apr 18, 2021
Accepted: Dec 21, 2021
Published online: Mar 10, 2022
Published in print: May 1, 2022
Discussion open until: Aug 10, 2022
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