Quantifying Material Uncertainty in Seismic Evaluations of Reinforced Concrete Bridge Column Structures

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Title: Quantifying Material Uncertainty in Seismic Evaluations of Reinforced Concrete Bridge Column Structures

Author(s): Christopher L. Segura Jr., Siamak Sattar, and Mohammad Amin Hariri-Ardebili

Publication: Structural Journal

Volume: 119

Issue: 3

Appears on pages(s): 141-152

Keywords: endurance time analysis; Latin hypercube sampling; materials; performance-based earthquake engineering; reinforced concrete; seismic assessment; uncertainty

DOI: 10.14359/51734486

Date: 5/1/2022

Abstract:
In seismic performance evaluations, the force-deformation response of a structure is typically assessed using a deterministic analytical model, and inherent uncertainty is often neglected. For reinforced concrete structures, a source of uncertainty is variability in the mechanical properties of reinforcing steel and concrete (that is, material uncertainty). This paper presents an analytical investigation to quantify the impact of the statistical variability in mechanical properties of ASTM A706 Grade 60, 80, and 100 reinforcing steel and normalweight concrete on the seismic response of reinforced concrete bridge columns. The effects on the drift response, expressed by the coefficient of variation (COV), range between COV values of 0.1 for low-to-moderate ductility demands (that is, drift ratio < 5%), and 0.3 for larger ductility demands. The COV of the force demand is lower, ranging between 0.05 and 0.1. Overall, the study shows that material uncertainty can be incorporated in seismic performance assessments through a few additional analyses.

Related References:

1. Porter, K. A., “An Overview of PEER’s Performance-Based Earthquake Engineering Methodology,” Proceedings of the Ninth International Conference on Applications of Statistics and Probability in Civil Engineering (ICASP9), San Francisco, CA, 2003, 8 pp.

2. Moehle, J., and Deierlein, G. G., “A Framework Methodology for Performance-Based Earthquake Engineering,” Proceedings of the 13th World Conference on Earthquake Engineering, Vancouver, BC, Canada, 2004, 13 pp.

3. Porter, K. A.; Beck, J. L.; and Shaikhutdinov, R. V., “Sensitivity of Building Loss Estimates to Major Uncertain Variables,” Earthquake Spectra, V. 18, No. 4, 2002, pp. 719-743. doi: 10.1193/1.1516201

4. Haselton, C. B.; Goulet, C. A.; Mitrani-Reiser, J.; Beck, J. L.; Deierlein, G. G.; Porter, K. A.; Stewart, J. P.; and Taciroglu, E., “An Assessment to Benchmark the Seismic Performance of a Code-Conforming Reinforced Concrete Moment-Frame Building,” PEER Report No. 2007/12, Pacific Earthquake Engineering Research Center, Berkeley, CA, 2008, 382 pp.

5. Goulet, C. A.; Haselton, C. B.; Mitrani-Reiser, J.; Beck, J. L.; Deierlein, G. G.; Porter, K. A.; and Stewart, J. P., “Evaluation of the Seismic Performance of a Code-Conforming Reinforced-Concrete Frame Building—From Seismic Hazard to Collapse Safety and Economic Losses,” Earthquake Engineering & Structural Dynamics, V. 36, No. 13, 2007, pp. 1973-1997. doi: 10.1002/eqe.694

6. Liel, A. B.; Haselton, C. B.; Deierlein, G. G.; and Baker, J. W., “Incorporating Modeling Uncertainties in the Assessment of Seismic Collapse Risk of Buildings,” Structural Safety, V. 31, No. 2, 2009, pp. 197-211. doi: 10.1016/j.strusafe.2008.06.002

7. Celarec, D., and Dolšek, M., “The Impact of Modelling Uncertainties on the Seismic Performance Assessment of Reinforced Concrete Frame Buildings,” Engineering Structures, V. 52, 2013, pp. 340-354. doi: 10.1016/j.engstruct.2013.02.036

8. Gokkaya, B. U.; Baker, J. W.; and Deierlein, G. G., “Quantifying the Impacts of Modeling Uncertainties on the Seismic Drift Demands and Collapse Risk of Buildings with Implications on Seismic Design Checks,” Earthquake Engineering & Structural Dynamics, V. 45, No. 10, 2016, pp. 1661-1683. doi: 10.1002/eqe.2740

9. FEMA P-58-1, “Seismic Performance Assessment of Buildings, Volume 1 - Methodology,” prepared by the Applied Technology Council for the Federal Emergency Management Agency, Washington, DC, 2012, 278 pp.

10. FEMA-350, “Recommended Seismic Design Criteria for New Steel Moment-Frame Buildings,” prepared by the SAC Joint Venture for the Federal Emergency Management Agency, Washington, DC, 2000, 224 pp.

11. FEMA P695, “Quantification of Building Seismic Performance Factors,” prepared by the Applied Technology Council for the Federal Emergency Management Agency, Washington, DC, 2009, 421 pp.

12. ASTM A706/A706M-16, “Standard Specification for Deformed and Plain Low-Alloy Steel Bars for Concrete Reinforcement,” ASTM International, West Conshohocken, PA, 2016, 7 pp.

13. ACI Committee 318, “Building Code Requirements for Structural Concrete (ACI 318-19) and Commentary (ACI 318R-19),” American Concrete Institute, Farmington Hills, MI, 2019, 624 pp.

14. CRSI, “CRSI Mill Database – Annual Summary Reports for 2011-2017,” Concrete Reinforcing Steel Institute, Schaumburg, IL, 2018.

15. Mirza, S. A., and MacGregor, J. G., “Variability of Mechanical Properties of Reinforcing Bars,” Journal of the Structural Division, ASCE, V. 105, No. 5, 1979, pp. 921-937. doi: 10.1061/JSDEAG.0005146

16. Massey, F. J., Jr., “The Kolmogorov-Smirnov Test for Goodness of Fit,” Journal of the American Statistical Association, V. 46, No. 253, 1951, pp. 68-78. doi: 10.1080/01621459.1951.10500769

17. Mander, T. J., and Matamoros, A. B., “Constitutive Modeling and Overstrength Factors for Reinforcing Steel,” ACI Structural Journal, V. 116, No. 3, May 2019, pp. 219-232. doi: 10.14359/51713320

18. Carrillo, J.; Lozano, H.; and Arteta, C., “Mechanical Properties of Steel Reinforcing Bars for Concrete Structures in Central Colombia,” Journal of Building Engineering, V. 33, 2021, Article No. 101858, 13 pp.

19. Spearman, C., “The Proof and Measurement of Association between Two Things,” The American Journal of Psychology, V. 15, No. 1, 1904, pp. 72-101. doi: 10.2307/1412159

20. Sattar, S.; Weigand, J. M.; and Wong, K. K. F., “Quantification of Uncertainties in the Response of Beam-Columns in Steel Moment Frames,” Proceedings of the 11th U.S. National Conference on Earthquake Engineering, Los Angeles, CA, 2018, 12 pp.

21. Mirza, S. A.; MacGregor, J. G.; and Hatzinikolas, M., “Statistical Descriptions of Strength of Concrete,” Journal of the Structural Division, ASCE, V. 105, No. 6, 1979, pp. 1021-1037. doi: 10.1061/JSDEAG.0005161

22. Nowak, A. S.; Szersen, M. M.; Szeliga, E. K.; Szwed, A.; and Podhorecki, P. J., “Reliability-Based Calibration for Structural Concrete Phase 3,” Report to the Portland Cement Association and Precast/Prestressed Concrete Institute, Skokie, IL, 2008, 115 pp.

23. ACI Committee 209, “Guide for Modeling and Calculating Shrinkage and Creep in Hardened Concrete (ACI 209.2R-08),” American Concrete Institute, Farmington Hills, MI, 2008, 45 pp.

24. Popovics, S., “A Numerical Approach to the Complete Stress-Strain Curve of Concrete,” Cement and Concrete Research, V. 3, No. 5, 1973, pp. 583-599. doi: 10.1016/0008-8846(73)90096-3

25. Kaklauskas, G., and Ghaboussi, J., “Stress-Strain Relations for Cracked Tensile Concrete from RC Beam Tests,” Journal of Structural Engineering, ASCE, V. 127, No. 1, 2001, pp. 64-73. doi: 10.1061/(ASCE)0733-9445(2001)127:1(64)

26. Scherbaum, F.; Bommer, J. J.; Bungum, H.; Cotton, F.; and Abrahamson, N. A., “Composite Ground-Motion Models and Logic Trees: Methodology, Sensitivities, and Uncertainties,” Bulletin of the Seismological Society of America, V. 95, No. 5, 2005, pp. 1575-1593. doi: 10.1785/0120040229

27. Sabetta, F.; Lucantoni, A.; Bungum, H.; and Bommer, J. J., “Sensitivity of PSHA Results to Ground Motion Prediction Relations and Logic-Tree Weights,” Soil Dynamics and Earthquake Engineering, V. 25, No. 4, 2005, pp. 317-329. doi: 10.1016/j.soildyn.2005.02.002

28. Bracchi, A.; Rota, M.; Penna, A.; and Magenes, G., “Consideration of Modelling Uncertainties in the Seismic Assessment of Masonry Buildings by Equivalent-Frame Approach,” Bulletin of Earthquake Engineering, V. 13, No. 11, 2015, pp. 3423-3448. doi: 10.1007/s10518-015-9760-z

29. Scott, B. D.; Park, R.; and Priestley, M. J. N., “Stress-Strain Behavior of Concrete Confined by Overlapping Hoops at Low and High Strain Rates,” ACI Journal Proceedings, V. 79, No. 1, Jan.-Feb. 1982, pp. 13-27.

30. Mander, J. B.; Priestley, M. J. N.; and Park, R., “Theoretical Stress-Strain Model for Confined Concrete,” Journal of Structural Engineering, ASCE, V. 114, No. 8, 1988, pp. 1804-1826. doi: 10.1061/(ASCE)0733-9445(1988)114:8(1804)

31. Saatcioglu, M., and Razvi, S. R., “Strength and Ductility of Confined Concrete,” Journal of Structural Engineering, ASCE, V. 118, No. 6, 1992, pp. 1590-1607. doi: 10.1061/(ASCE)0733-9445(1992)118:6(1590)

32. Légeron, F., and Paultre, P., “Uniaxial Confinement Model for Normal- and High-Strength Concrete Columns,” Journal of Structural Engineering, ASCE, V. 129, No. 2, 2003, pp. 241-252. doi: 10.1061/(ASCE)0733-9445(2003)129:2(241)

33. Pauw, A., “Static Modulus of Elasticity of Concrete as Affected by Density,” ACI Journal Proceedings, V. 57, No. 12, Dec. 1960, pp. 679-687.

34. Caltrans, “Seismic Design Criteria,” California Department of Transportation, Sacramento, CA, 2006.

35. Schoettler, M. J.; Restrepo, J. I.; Guerrini, G.; Duck, D. E.; and Carrea, F., “A Full-Scale, Single-Column Bridge Bent Tested by Shake-Table Excitation,” PEER Report No. 2015/02, Pacific Earthquake Engineering Research Center, Berkeley, CA, 2015, 153 pp.

36. Mazzoni, S.; McKenna, F.; and Fenves, G. L., “OpenSees Command Language Manual,” University of California, Berkeley, Berkeley, CA, 2006, 465 pp.

37. Abramowitz, M., and Stegun, I. A., eds., “Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables,” National Bureau of Standards Applied Mathematics Series 55, National Bureau of Standards, Washington, DC, 1964, 470 pp.

38. Chang, G. A., and Mander, J. B., “Seismic Energy Based Fatigue Damage Analysis of Bridge Columns: Part 1 – Evaluation of Seismic Capacity,” Technical Report for the National Center for Earthquake Engineering Research, Technical Report NCEER-94-0006, State University of New York at Buffalo, Buffalo, NY, 1994, 244 pp.

39. Menegotto, M., and Pinto, P. E., “Method of Analysis of Cyclically Loaded RC Plane Frames Including Changes in Geometry and Non-Elastic Behavior of Elements Under Normal Force and Bending,” Symposium on Resistance and Ultimate Deformability of Structures Acted on by Well-Defined Repeated Loads, Lisbon, Portugal, 1973.

40. Filippou, F. C.; Popov, E. P.; and Bertero, V. V., “Effects of Bond Deterioration on Hysteretic Behavior of Reinforced Concrete Joints,” Report No. UCB/EERC-83/19, Earthquake Engineering Research Center, University of California, Berkeley, Berkeley, CA, 1983, 212 pp.

41. Coleman, J., and Spacone, E., “Localization Issues in Force-Based Frame Elements,” Journal of Structural Engineering, ASCE, V. 127, No. 11, 2001, pp. 1257-1265. doi: 10.1061/(ASCE)0733-9445(2001)127:11(1257)

42. Estekanchi, H. E.; Valamanesh, V.; and Vafai, A., “Application of Endurance Time Method in Linear Seismic Analysis,” Engineering Structures, V. 29, No. 10, 2007, pp. 2551-2562. doi: 10.1016/j.engstruct.2007.01.009

43. Hariri-Ardebili, M. A.; Sattar, S.; and Estekanchi, H. E., “Performance-Based Seismic Assessment of Steel Frames Using Endurance Time Analysis,” Engineering Structures, V. 69, 2014, pp. 216-234. doi: 10.1016/j.engstruct.2014.03.019

44. Dolsek, M., “Estimation of Seismic Response Parameters Through Extended Incremental Dynamic Analysis,” Computational Methods in Earthquake Engineering, V. 21, M. Papadrakakis, M. Fragiadakis, and N. D. Lagaros, eds., Springer, Switzerland, 2011, pp. 285-304. doi: 10.1007/978-94-007-0053-6_13

45. Caltrans, “Seismic Design Criteria Version 2.0,” California Department of Transportation, Sacramento, CA, 2019, 250 pp.

46. Ibarra, L. F., and Krawinkler, H., “Global Collapse of Frame Structures under Seismic Excitations,” PEER Report No. 152, Pacific Earthquake Engineering Research Center, Berkeley, CA, 2005, 301 pp.

47. Iman, R. L., and Conover, W. J., “A Distribution-Free Approach to Inducing Rank Correlation Among Input Variables,” Communications in Statistics - Simulation and Computation, V. 11, No. 3, 1982, pp. 311-334. doi: 10.1080/0361091820881226


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