Title:
Uncertainty Modelling and Analysis of Punching Shear Resistance of Flat Slabs
Author(s):
Ming-Yue Jiang, Qing-Xuan Shi, and Wang-Hu Zhao
Publication:
Structural Journal
Volume:
119
Issue:
2
Appears on pages(s):
155-163
Keywords:
design code; model uncertainty; punching shear strength model; reinforced concrete slab-column connections; statistical characteristics
DOI:
10.14359/51734376
Date:
3/1/2022
Abstract:
An approach is provided to modify model uncertainty related to punching shear resistance of flat slabs. Model uncertainty of six shear strength models in different design codes are investigated systematically. Based on 452 punching tests of concentrically loaded slabs, the computational accuracy of six punching shear strength models is compared. Characteristic values of model uncertainty with different specific assurance rates are determined based on the probabilistic characteristics of computational model uncertainties. The comparison shows that the accuracy of the draft of the next generation of the Eurocode 2 model is superior to the Chinese, American, and Canadian code models, which usually underestimate the punching shear resistance of flat slabs. Furthermore, the model uncertainty of the Chinese, American, and Canadian code models follow a normal distribution, whereas the model uncertainty of the other three models obey lognormal distribution.
Related References:
1. Yankelevsky, D. Z., and Leibowitz, O., “Punching Shear in Concrete Slabs,” International Journal of Mechanical Sciences, V. 41, No. 1, Jan. 1999, pp. 1-15. doi: 10.1016/S0020-7403(97)00086-6
2. Nielsen, M. P., Limit Analysis and Concrete Plasticity, second edition, CRC Press, New York, 1999, pp. 306-328.
3. Park, H.-G.; Choi, K.-K.; and Chung, L., “Strain-Based Strength Model for Direct Punching Shear of Interior Slab–Column Connections,” Engineering Structures, V. 33, No. 3, Mar. 2011, pp. 1062-1073. doi: 10.1016/j.engstruct.2010.12.032
4. Alexander, S. D. B., and Simmonds, S. H., “Ultimate Strength of Slab-Column Connections,” ACI Structural Journal, V. 84, No. 3, May-June 1987, pp. 255-261.
5. Johansen, K. W., Yield-Line Theory, Cement and Concrete Association, London, UK, 1962, 181 pp.
6. Bažant, Z. P., and Cao, Z., “Size Effect in Punching Shear Failure of Slabs,” ACI Structural Journal, V. 84, No. 1, Jan.-Feb. 1987, pp. 44-53.
7. Kueres, R.; Ricker, M.; Classen, M.; and Hegger, J., “Fracture Kinematics of Reinforced Concrete Slabs Failing in Punching,” Engineering Structures, V. 171, Sept. 2018, pp. 269-279. doi: 10.1016/j.engstruct.2018.05.012
8. Hegger, J.; Ricker, M.; Ulke, B.; and Ziegler, M., “Investigations on the Punching Behavior of Reinforced Concrete Footings,” Engineering Structures, V. 29, No. 9, Sept. 2007, pp. 2233-2241. doi: 10.1016/j.engstruct.2006.11.012
9. Muttoni, A., “Punching Shear Strength of Reinforced Concrete Slabs without Transverse Reinforcement,” ACI Structural Journal, V. 105, No. 4, July-Aug. 2008, pp. 440-450.
10. Fédération internationale du béton, “fib Model Code for Concrete Structures 2010 (MC2010),” fib, Lausanne, Switzerland, 2013, 434 pp.
11. Ghali, G., and Gayed, R. B., “Universal Design for Punching Resistance of Concrete Slabs,” ACI Structural Journal, V. 116, No. 1, Jan. 2019, pp. 207-212. doi: 10.14359/51710866
12. Schmidt, P.; Kueres, D.; and Hegger, J., “Contribution of Concrete and Shear Reinforcement to the Punching Shear Resistance of Flat Slabs,” Engineering Structures, V. 203, Jan. 2020, Article No. 109872, 11 pp. doi: 10.1016/j.engstruct.2019.109872
13. EN 1992-1-1:2004/AC:2010/A1:2014, “Eurocode 2: Design of Concrete Structures – Part 1-1: General Rules and Rules for Buildings,” European Committee for Standardization, Brussels, Belgium, 2014.
14. PT1prEN 1992-1-1:2018-04, “Eurocode 2: Design of Concrete Structures - Part 1-1: General Rules for Buildings, Bridges and Civil Engineering Structures - Third and Final Draft by the Project Team SC2.T1,” European Committee for Standardization, Brussels, Belgium, 2018.
15. Rashwan, M. R.; Rashed, Y. F.; Mehanny, S. S. F.; and Mohareb, R. W., “Novel Warping-Included Punching Parameters for Interior Rectangular Columns in Flat Slabs,” Engineering Analysis with Boundary Elements, V. 112, Mar. 2020, pp. 1-12. doi: 10.1016/j.enganabound.2019.11.009
16. Rashwan, M. R.; Rashed, Y. F.; and Mehanny, S. S. F., “Theoretical Envelop for the Punching Shear Formula,” Journal of Engineering and Applied Sciences, V. 66, No. 1, Feb. 2019, pp. 91-107.
17. GB50010-2010, “Code for Seismic Design of Buildings,” China Architecture & Building Press, Beijing, China, 2010.
18. CSA A23.3-14, “Design of Concrete Structures,” CSA Group, Toronto, ON, Canada, 2014, 297 pp.
19. Einpaul, J.; Bujnak, J.; Fernández Ruiz, M.; and Muttoni, A., “Study on Influence of Column Size and Slab Slenderness on Punching Strength,” ACI Structural Journal, V. 113, No. 1, Jan.-Feb. 2016, pp. 135-145. doi: 10.14359/51687945
20. ACI Committee 318, “Building Code Requirements for Structural Concrete (ACI 318-14) and Commentary (ACI 318R-14),” American Concrete Institute, Farmington Hills, MI, 2014, 520 pp.
21. Muttoni, A., and Fernández Ruiz, M., “The Levels-of-Approximation Approach in MC 2010: Application to Punching Shear Provisions,” Structural Concrete, V. 13, No. 1, 2012, pp. 32-41. doi: 10.1002/suco.201100032
22. Ospina, C. E.; Birkle, G.; Widianto, W.; Wang, Y.; Fernando, S. R.; Fernando, S.; Catlin, A. C.; and Pujol, S., “NEES: ACI 445 Punching Shear Collected Databank,” American Concrete Institute, Farmington Hills, MI, 2015.
23. Yi, W. J.; Hong, F.; and Peng, J., “Experimental Study on Shear Resistance of Reinforced Concrete Slab-Column Joints,” Building Structures, V. 46, No. 15, 2016, pp. 11-18+46.
24. Massey, F. J., Jr., “The Kolmogorov-Smirnov Test for Goodness of Fit,” Journal of the American Statistical Association, V. 46, No. 253, Mar. 1951, pp. 68-78. doi: 10.1080/01621459.1951.10500769
25. Modarres, M.; Kaminskiy, M. P.; and Krivtsov, V., Reliability Engineering and Risk Analysis: A Practical Guide, third edition, Taylor & Francis Group, Boca Raton, FL, 2017, 522 pp.
26. EN 1990:2002, “Eurocode – Basis of Structural Design,” European Committee for Standardization, Brussels, Belgium, 2002, 119 pp.
27. Der Kiureghian, A., and Ditlevsen, O., “Aleatory or Epistemic? Does it Matter?” Structural Safety, V. 31, No. 2, Mar. 2009, pp. 105-112. doi: 10.1016/j.strusafe.2008.06.020
28. Olalusi, O. B., and Kolawole, J. T., “Probabilistic Safety Analysis of Prestressed Concrete Beams Failing Due to Web-Crushing,” Structures, V. 15, Aug. 2018, pp. 370-377. doi: 10.1016/j.istruc.2018.08.004