Title:
Analytical Model for Compressive Arch Action in Horizontally Restrained Beam-Column Subassemblages
Author(s):
Shao-Bo Kang and Kang Hai Tan
Publication:
Structural Journal
Volume:
113
Issue:
4
Appears on pages(s):
813-826
Keywords:
analytical model; beam-column subassemblage; compressive arch action; engineered cementitious composites; pseudo-static resistance
DOI:
10.14359/51688629
Date:
7/1/2016
Abstract:
This paper presents an analytical model to predict the compressive arch action (CAA) of reinforced concrete beam-column subassemblages. In the model, a new method is proposed to quantify the strains of longitudinal reinforcement in the beam. Instead of equivalent rectangular concrete stress block, the constitutive model for concrete is employed to calculate the compression force sustained by concrete. Besides, tensile strength of engineered cementitious composites can also be considered. Comparisons between experimental and analytical results indicate that the model yields reasonable accuracy in predicting the CAA capacity and horizontal compression force of subassemblages. The effects of horizontal restraints on the CAA capacity of subassemblages are also investigated through the model. Furthermore, pseudo-static resistance of beam-column subassemblages is calculated based on the energy balance method. Finally, conclusions on the enhancement of CAA to structural resistance are drawn from analytical results.
Related References:
1. Welch, R. W.; Hall, W. J.; and Gamble, W. L., “Compressive Membrane Capacity Estimates in Laterally Edge Restrained Reinforced Concrete One-way Slabs,” Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Champaign, IL, 1999.
2. Park, R., and Gamble, W. L., Reinforced Concrete Slabs, John Wiley & Sons, Inc., New York, 2000.
3. Park, R., “The Ultimate Strength and Long-Term Behaviour of Uniformly Loaded, Two-Way Concrete Slabs with Partial Lateral Restraint At All Edges,” Magazine of Concrete Research, V. 16, No. 48, 1964, pp. 139-152. doi: 10.1680/macr.1964.16.48.139
4. Keenan, W. A., “Strength and Behavior of Restrained Reinforced Concrete Slabs under Static and Dynamic Loading,” Naval Civil Engineering Laboratory, Port Hueneme, CA, 1969.
5. Su, Y.; Tian, Y.; and Song, X., “Progressive Collapse Resistance of Axially-Restrained Frame Beams,” ACI Structural Journal, V. 106, No. 5, Sept.-Oct. 2009, pp. 600-607.
6. Yu, J., and Tan, K. H., “Progressive Collapse Resistance of RC Beam-Column Subassemblages,” Proceedings of the 3rd fib International Congress, Washington, DC, 2010.
7. Guice, L. K.; Slawson, T. R.; and Rhomberg, E. J., “Membrane Analysis of Flat Plate Slabs,” ACI Structural Journal, V. 86, No. 1, Jan.-Feb. 1989, pp. 83-92.
8. Yu, J., and Tan, K. H., “Analytical Model for the Capacity of Compressive Arch Action of Reinforced Concrete Beam-Column Subassemblages,” Magazine of Concrete Research, V. 66, No. 3, 2013, pp. 109-126. doi: 10.1680/macr.13.00217
9. Yu, J., “Structural Behaviour of Reinforced Concrete Frames Subjected to Progressive Collapse,” Nanyang Technological University, Nanyang, China, 2012.
10. ACI Committee 318, “Building Code Requirements for Structural Concrete (ACI 318-05) and Commentary,” American Concrete Institute, Farmington Hills, MI, 2005, 430 pp.
11. Yu, J., and Tan, K. H., “Experimental Study on Catenary Action of RC Beam-Column Subassemblages,” Proceedings of the 3rd fib International Congress, Washington, DC, 2010.
12. Guice, L. K., and Rhomberg, E. J., “Membrane Action in Partially Restrained Slabs,” ACI Structural Journal, V. 85, No. 4, July-Aug. 1988, pp. 365-373.
13. 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)
14. Li, V. C., “On Engineered Cementitous Composites (ECC)—A Review of the Material and Its Applications,” Journal of Advanced Concrete Technology, V. 1, No. 3, 2003, pp. 215-230. doi: 10.3151/jact.1.215
15. Fischer, G., and Li, V. C., “Effect of Matrix Ductility on Deformation Capacity Behavior of Steel-Reinforced ECC Flexural Members under Reversed Cyclic Loading Conditions,” ACI Structural Journal, V. 99, No. 6, Nov.-Dec. 2002, pp. 781-790.
16. Fischer, G., and Li, V. C., “Deformation Behavior of Fiber-Reinforced Polymer Reinforced Engineered Cementitious Composites (ECC) Flexural Members under Reversed Cyclic Loading Conditions,” ACI Structural Journal, V. 100, No. 1, Jan.-Feb. 2003, pp. 25-35.
17. Yuan, F.; Pan, J.; and Leung, C. K. Y., “Flexural Behaviors of ECC and Concrete/ECC Composite Beams Reinforced with Basalt Fiber-Reinforced Polymer,” Journal of Composites for Construction, ASCE, V. 17, No. 5, 2013, pp. 591-602. doi: 10.1061/(ASCE)CC.1943-5614.0000381
18. Maalej, M., and Li, V. C., “Flexural/Tensile-Strength Ratio in Engineered Cementitious Composites,” Journal of Materials in Civil Engineering, ASCE, V. 6, No. 4, 1994, pp. 513-528. doi: 10.1061/(ASCE)0899-1561(1994)6:4(513)
19. FarhangVesali, N.; Valipour, H.; Samali, B.; Foster, S.; Farhang-Vesali, N.; Valipour, H.; Samali, B.; and Foster, S., “Development of Arching Action in Longitudinally-Restrained Reinforced Concrete Beams,” Construction and Building Materials, V. 47, 2013, pp. 7-19. doi: 10.1016/j.conbuildmat.2013.04.050
20. Kang, S.-B.; Tan, K. H.; and Yang, E.-H., “Progressive Collapse Resistance of Precast Beam-Column Subassemblages with Engineered Cementitious Composites,” Engineering Structures, V. 98, 2015, pp. 186-200. doi: 10.1016/j.engstruct.2015.04.034
21. Kang, S.-B., and Tan, K. H., “Behaviour of Precast Concrete Beam-Column Subassemblages Subject to Column Removal,” Engineering Structures, V. 93, 2015, pp. 85-96. doi: 10.1016/j.engstruct.2015.03.027
22. Paulay, T., and Priestley, M. J. N., Seismic Design of Reinforced Concrete and Masonry Buildings, John Wiley & Sons, Inc., New York, 1992.
23. Izzudin, B. A.; Vlassis, A. G.; Elghazouli, A. Y.; and Nethercot, D. A., “Progressive Collapse of Multi-Storey Buildings Due to Sudden Column Loss—Part I: Simplified Assessment Framework,” Engineering Structures, V. 30, No. 5, 2008, pp. 1308-1318. doi: 10.1016/j.engstruct.2007.07.011