Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-27T22:31:02.100Z Has data issue: false hasContentIssue false
  • English
  • Français

Formulas for Curvature Ductility Design of Doubly Reinforced Concrete Beams

Published online by Cambridge University Press:  05 May 2011

C. C. Chen  and
S. M. Hsu
C. C. Chen*
Affiliation:
Department of Construction Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan 10672, R.O.C.
S. M. Hsu*
Affiliation:
Department of Construction Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan 10672, R.O.C.
*
* Professor
** Postdoctor
Get access

Abstract

With the concrete treated as unconfined, semi-empirical equations for curvature ductility ratios of doubly reinforced beam sections were derived. Based on the resulted semi-empirical equations, design formulas for curvature ductility ratios, which take into account the effect of tension and compression reinforcement ratios and strengths of reinforcement and concrete, are established and calibrated. The proposed design formulas are fairly simple with reasonable accuracy. The proposed design formulas enable the designer to design beam sections for selected ductility ratios, and, consequently, to acquire better control of concrete spalling during major earthquakes. From the aspect of performance based design, the proposed formulas can facilitate beam design for concrete spalling limit state.

Keywords

Reinforced concrete beamCurvature ductilitySeismic designConcrete spalling
Type
Articles
Information
Journal of Mechanics , Volume 20 , Issue 4 , December 2004 , pp. 257 - 265
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Park, R. and Pauley, T., Reinforced Concrete Structure, John Wiley and Sons, New York, U.S.A. (1975).CrossRefGoogle Scholar
2.Park, R. and Ruitong, D., “Ductility of Doubly Reinforced Concrete Beam Section,” ACI Structural Journal, March-April, pp. 217–225 (1988).Google Scholar
3.Pauley, T. and Priestly, M. J. N., Seismic Design of Reinforced Concrete and Masonry Buildings, John Wiley and Sons, New York, U.S.A. (1992).CrossRefGoogle Scholar
4. ACI 318 Committee, Building Code Requirements for Structural Concrete (ACI318M-02) and Commentary (ACI 318RM-02), American Concrete Institute (2002).Google Scholar
5.Park, R., “Ductile Design Approach for Reinforced Concrete Frames,” Earthquake Spectra., 2(3), pp. 565–619 (1986).CrossRefGoogle Scholar
6.Kent, D. C. and Park, R., “Flexural Members with Confined Concrete,” J. Struct. Div., ASCE, 97(7), pp. 1969–1990(1971).CrossRefGoogle Scholar
7.Maguruma, H., Watanabe, S., Tanaka, S., Sakurai, K. and Nakamura, E., “A Stress-Strain Model of Confined Concrete,” Proc., JCA Cement and Concrete, 34, pp. 429–432 (1978).Google Scholar
8.Mander, J. B., Priestly, M. J. N. and Park, R., “Theoretical Stress-Strain Model for Confined Concrete,” J. Struct. Div., ASCE, 114(8), pp. 1804–1826 (1988).CrossRefGoogle Scholar
9.Priestly, M. J. N., “Brief Comments on Elastic Flexibility of Reinforced Concrete Frames and Significance to Seismic Design,” Bulletin, New Zealand National Society for Earthquake Engineering, 31(4), pp. 246–259 (1998).CrossRefGoogle Scholar