Prediction of the ultimate longitudinal compressive concrete strain at hoop fracture using energy considerations
The fracture of transverse hoop reinforcement can lead to the collapse of a reinforced concrete column, as has been observed in concrete bridges and buildings attacked by severe earthquakes as well as in laboratory tests. To predict the longitudinal concrete strain at the stage of first hoop fracture a theoretical method based on considerations of strain energy referred to as "Energy Balance Theory" has been proposed by Mander et al. This paper reviews the "Energy Balance Theory" and then proposes several modifications for this theory based on a failure model of a reinforced concrete column subject to axial compression. These modifications take into account significant energy factors neglected in the theory by Mander et al and correct some unrealistic assumptions made in that theory. The predictions of the modified theory are then compared with the results obtained from concentric loading tests on 18 reinforced concrete columns conducted at the University of Canterbury and the validity of the modified theory is assessed.
Mander, J.B., Priestley, M.J.N. and Park, R., "Seismic Design of Bridge Piers", Research Report 84-2, Department of Civil Engineering, University of Canterbury, Feb. 1984, p. 483 .
Priestley, M.J.N. and Park, R., - "Strength and Ductility of Bridge Substructures", Road Research Unit Bulletin 71, National Roads Board, Wellington, New Zealand, 1984, p.120.
Mander, J.B., Priestley, M.J.N. and Park, R., "Theoretical Stress-Strain Model for Confined Concrete", Structural Engineering, American Society of Civil Engineers (to be published).
Iyenger, K.T.R.J., Desayi, P. and Reddy, K.N., "Stress-Strain Characteristics of Concrete Confined in Steel Binders", Magazine of Concrete Research, Vol. 22, No. 72, Sept. 1970, pp.173-184 . DOI: https://doi.org/10.1680/macr.19188.8.131.52
"Code of Practice for the Design of Concrete Structures (NZS 3101, Part 1:1982)" and "Commentary on the Design of Concrete Structures (NZS 3101, Part 2:1982)", Standard Association of New Zealand, Wellington.
Engesser, F., "Ueber die Knickfestigkeit ^ gerader Stabe", Zeitschrift fur Architektur und Ingenieurwesen, Vol. 35, 1889.
Engesser, F., "Knickfragen", Schweizerische Bauzeitung, Vol. 26, .1895. 8.
von Karman, T., "Untersuchungen liber Knickfestigkeit", Mitteilungen liber Forschungsarbeiten auf dem Gebiete des Ingenieurwesens, Berlin, No. 81, 1910. DOI: https://doi.org/10.1007/978-3-662-01994-8_1
Shanley, F.R., "Inelastic Column Theory", Journal of the Aeronautical Sciences, Vol. 14, No. 5, 1947 DOI: https://doi.org/10.2514/8.1346
Tanaka, H., "Effect of Lateral Confining Reinforcement on the Ductile Behaviour of Reinforced Concrete Columns", PhD thesis in preparation, University of Canterbury.
Watanabe, F., "Complete Stress-Strain Curve for Concrete in Concentric Compression", Mechanical Behaviour of Materials, Proceedings of the 1971 International Conference on Mechanical Behaviour of Materials, Vol. 4, pp.153-161.
Muguruma, H., Watanabe, F., Tanaka, H., Sakurai, K. and Nakamura, E., "Effect of Confinement by High Yield Strength Hoop Reinforcement upon the Compressive Ductility of Concrete", Proceedings of the Twenty-Second Japan Congress on Material Research, The Society of Materials Science, Japan, 1979, pp.377-382e
Sturman, G.M., - Shah, S. P. and Winter, G., "Effect of Flexural Strain Gradients on Microcracking and Stress-Strain Behaviour of Concrete", ACI Journal, 62, 1965, pp.805-822. Park, R. and Paulay, T., "Reinforced Concrete Structures", John Wiley and Sons, New York, 1975, p.769. DOI: https://doi.org/10.14359/7725
Tanaka, H., Park, R. and McNamee, B., "Anchorage of Transverse Reinforcement in Rectangular Reinforced Concrete Columns in Seismic Design", Bulletin of the New Zealand National Society for Earthquake Engineering, Vol. 18, No. 2, June 1985, pp.165-190.
Zahn, F. A.. Park, R. and Priestley,. M.J.N., "Design of Reinforced Concrete Bridge Columns for Strength and Ductility", Research Report 86-7, Department of Civil Engineering, University of Canterbury, March 1986, p. 380.
Copyright (c) 1987 H. Tanaka, R. Park
This work is licensed under a Creative Commons Attribution 4.0 International License.