A Shear Hinge Model for Analysis of Reinforced Concrete Beams

International Concrete Abstracts Portal

The International Concrete Abstracts Portal is an ACI led collaboration with leading technical organizations from within the international concrete industry and offers the most comprehensive collection of published concrete abstracts.

  


Title: A Shear Hinge Model for Analysis of Reinforced Concrete Beams

Author(s): Amir Reza Tabkhi Wayghan and Vahid Sadeghian

Publication: Structural Journal

Volume: 118

Issue: 6

Appears on pages(s): 279-290

Keywords: lumped plasticity; nonlinear analysis; reinforced concrete (RC) beams; shear behavior

DOI: 10.14359/51733001

Date: 11/1/2021

Abstract:
The lumped plasticity method is an efficient analytical approach to assess the system-level performance of reinforced concrete (RC) structures. Through this analysis approach, the nonlinearity effects are calculated using plastic hinges located in critical parts of the structure. Because of the complexity associated with shear-related mechanisms in RC members, the number of shear hinge models developed in the literature are limited. This paper presents a comprehensive shear hinge model for RC beams capable of capturing advanced mechanisms such as interactions between shear force and bending moment, effects of nonlinear stress and strain distributions through the section, and compression softening effect in concrete. The model provides closed-form equations for five key points on the shear force-shear deformation response by satisfying the compatibility, equilibrium, and constitutive relationships. By comparing the performance of the model against test results, other analysis methods, and design codes at the component and system level, the effectiveness of the model in capturing the shear behavior is demonstrated.

Related References:

1. Selby, R. G.; Vecchio, F. J.; and Collins, M. P., “The Failure of an Offshore Platform,” Concrete International, V. 19, No. 8, Aug. 1997, pp. 28-35.

2. Johnson, P. M., and Commission d’enquête sur le viaduc de la Concorde Québec, “Report of the Commission of Inquiry into the Collapse of a Portion of the de la Concorde Overpass,” Commission d’enquête sur le viaduc de la Concorde Québec, Gouvernement du Québec, Québec, QC, Canada, 2007, 222 pp.

3. Bouchaboub, M., and Samai, M. L., “Nonlinear Analysis of Slender High-Strength R/C Columns under Combined Biaxial Bending and Axial Compression,” Engineering Structures, V. 48, Mar, 2013, pp. 37-42. doi: 10.1016/j.engstruct.2012.08.030

4. Simão, P. D.; Barros, H.; Ferreira, C. C.; and Marques, T., “Closed-Form Moment-Curvature Relations for Reinforced Concrete Cross Sections under Bending Moment and Axial Force,” Engineering Structures, V. 129, Mar. 2016, pp. 67-80. doi: 10.1016/j.engstruct.2016.09.033

5. Pincheira, J. A.; Dotiwala, F. S.; and D’Souza, J. T., “Seismic Analysis of Older Reinforced Concrete Columns,” Earthquake Spectra, V. 15, No. 2, 1999, pp. 245-272. doi: 10.1193/1.1586040

6. Shirai, N.; Moriizumi, K.; and Terasawa, K., “Cyclic Analysis of RC Columns: Macro-Element Approach,” Proceedings, Modeling of Inelastic Behavior of RC Structures under Seismic Loads, American Society of Civil Engineers, Reston, VA, 2001, pp. 435-453.

7. Elwood, K. J., “Modelling Failures in Existing Reinforced Concrete Columns,” Canadian Journal of Civil Engineering, V. 31, No. 5, 2004, pp. 846-859. doi: 10.1139/l04-040

8. LeBorgne, M. R., and Ghannoum, W. M., “Analytical Element for Simulating Lateral-Strength Degradation in Reinforced Concrete Columns and Other Frame Members,” Journal of Structural Engineering, ASCE, V. 140, No. 7, 2014, p. 04014038. doi: 10.1061/(ASCE)ST.1943-541X.0000925

9. Sae-Long, W.; Limkatanyu, S.; Prachasaree, W.; Horpibulsuk, S.; and Panedpojaman, P., “Nonlinear Frame Element with Shear–Flexure Interaction for Seismic Analysis of Non-Ductile Reinforced Concrete Columns,” International Journal of Concrete Structures and Materials, V. 13, No. 1, 2019, pp. 1-19. doi: 10.1186/s40069-019-0343-2

10. ASCE/SEI 41-17, “Seismic Evaluation and Retrofit of Existing Buildings,” American Society of Civil Engineers, Reston, VA, 2017, 576 pp.

11. Vecchio, F. J., and Collins, M. P., “The Modified Compression-Field Theory for Reinforced Concrete Elements Subjected to Shear,” ACI Journal Proceedings, V. 83, No. 22, Mar.-Apr. 1986, pp. 219-231.

12. Sadeghian, V., and Vecchio, F., “The Modified Compression Field Theory: Then and Now,” Shear in Structural Concrete, SP-328, American Concrete Institute, Farmington Hills, MI, Sept. 2018, pp. 3.1-3.20.

13. CSA A23.3, “Design of Concrete Structures,” Canadian Standards Association, Mississauga, ON, Canada, 2019, 296 pp.

14. Bentz, E. C.; Vecchio, F. J.; and Collins, M. P., “Simplified Modified Compression Field Theory for Calculating Shear Strength of Reinforced Concrete Elements,” ACI Structural Journal, V. 103, No. 4, July-Aug. 2006, pp. 614-624.

15. Esfandiari, A., and Adebar, P., “Shear Strength Evaluation of Concrete Bridge Girders,” ACI Structural Journal, V. 106, No. 4, July-Aug. 2009, pp. 416-426.

16. Bentz, E., and Collins, M. P., 2001, “Response-2000, Shell-2000, Triax-2000, and Membrane-2000 User Manual (Version 1.0 and 1.1),” Sept. 2001, http://www.ecf.utoronto.ca/~bentz/manual2/final.pdf.

17. Bentz, E. C., and Collins, M. P., “Development of the 2004 Canadian Standards Association (CSA) A23.3 Shear Provisions for Reinforced Concrete,” Canadian Journal of Civil Engineering, V. 33, No. 5, 2006, pp. 521-534. doi: 10.1139/l06-005

18. Park, R., and Paulay, T., Reinforced Concrete Structures, John Wiley & Sons, Inc., New York, 1975, 769 pp.

19. Hognestad, E., “Study of Combined Bending and Axial Load in Reinforced Concrete Members,” University of Illinois Engineering Experiment Station, Bulletin No. 399, V. 49, No. 22, 1951, 128 pp.

20. Tamai, S.; Shima, H.; Izumo, J.; and Okamura, H., “Average Stress-Strain Relationship in Post Yield Range of Steel Bar in Concrete,” Concrete Library of JSCE, No. 11, June 1988, pp. 117-129.

21. Park, Y., and Ang, A., “Mechanistic Seismic Damage Model for Reinforced Concrete,” Journal of Structural Engineering, ASCE, V. 111, No. 4, 1985, pp. 722-739. doi: 10.1061/(ASCE)0733-9445(1985)111:4(722)

22. Podgorniak-Stanik, B. A., “The Influence of Concrete Strength, Distribution of Longitudinal Reinforcement, Amount of Transverse Reinforcement and Member Size on Shear Strength of Reinforced Concrete Members,” MASc thesis, University of Toronto, ON, Canada, 1998, 369 pp.

23. Frosch, R. J., “Behavior of Large-Scale Reinforced Concrete Beams with Minimum Shear Reinforcement,” ACI Structural Journal, V. 97, No. 6, Nov.-Dec. 2000, pp. 814-820.

24. Cladera, A., “Shear Design of Reinforced High-Strength Concrete Beams,” PhD thesis, Universitat Politècnica De Catalunya, Barcelona, Spain, 2002, 325 pp.

25. Sherwood, E., “One-Way Shear Behaviour of Large, Lightly-Reinforced Concrete Beams and Slabs,” PhD thesis, University of Toronto, Toronto, ON, Canada, 2008, 567 pp.

26. Kassem, C.; Farghaly, A. S.; and Benmokrane, B., “Evaluation of Flexural Behavior and Serviceability Performance of Concrete Beams Reinforced with FRP Bars,” Journal of Composites for Construction, ASCE, V. 15, No. 5, 2011, pp. 682-695. doi: 10.1061/(ASCE)CC.1943-5614.0000216

27. Mazzoni, S.; McKenna, F.; Scott, M. H.; and Fenves, G. L., “OpenSees Command Language Manual,” Pacific Earthquake Engineering Research (PEER) Center, University of California, Berkeley, Berkeley, CA, 2006.

28. Guner, S., “Performance Assessment of Shear-Critical Reinforced Concrete Plane Frames,” PhD thesis, University of Toronto, Toronto, ON, Canada, 2008, 429 pp.

29. Guner, S., and Vecchio, F. J., 2008, “User’s Manual of VecTor5,” http://www.vectoranalysisgroup.com/software.html. (last accessed Sept. 15, 2021).

30. Collins, M. P.; Quach, P. T.; and Bentz, E. C., “Shear Behavior of Thick Slabs,” ACI Structural Journal, V. 117, No. 4, July 2020, pp. 115-126.

31. 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.

32. Duong, K. V.; Sheikh, S. A.; and Vecchio, F. J., “Seismic Behavior of Shear-Critical Reinforced Concrete Frame: Experimental Investigation,” ACI Structural Journal, V. 104, No. 3, May-June 2007, pp. 304-313.


ALSO AVAILABLE IN:

Electronic Structural Journal



  

Edit Module Settings to define Page Content Reviewer