Hostname: page-component-76fb5796d-qxdb6 Total loading time: 0 Render date: 2024-04-26T07:14:22.570Z Has data issue: false hasContentIssue false
  • English
  • Français

A Study on the Safety of Shear design of Reinforced Concrete Beams

Published online by Cambridge University Press:  05 May 2011

W. Y. Lu  and
I. J. Lin
W. Y. Lu*
Affiliation:
Department of Civil Engineering, Chung Kuo Institute of Technology, Taipei, Taiwan 116, R.O.C.
I. J. Lin*
Affiliation:
Department of Civil Engineering, Tung Nan Institute of Technology, Taipei, Taiwan 222, R.O.C.
*
* Associate Professor
** Professor
Get access

Abstract

The shear failure probabilities of reinforced concrete beams have been investigated by Monte Carlo technique. The shear strength provided by the concrete is based on the theoretical model developed by Tureyen and Frosch (2003). The random variables included in this study are the strength of concrete, the strength of reinforcing steel, the dimension of cross-section, the model error of theoretical shear strength provided by the concrete, and the loading. This study shows that based on the new material statistical data (2003) in North America, the shear failure probabilities are acceptable for beams designed using the ACI 318-02 Code. Based on the old material statistical data (1979) in North America the shear failure probabilities of beams designed using the ACI Code are relatively high. For the safety of shear design of reinforced concrete beams, the ACI 318-02 Code is better than the ACI 318-99 Code.

Keywords

Reinforced concrete beamsMonte Carlo methodProbabilities
Type
Technical Note
Information
Journal of Mechanics , Volume 20 , Issue 4 , December 2004 , pp. 303 - 309
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. ACI Committee 318, “Building Code Requirements for Structural Concrete (ACI 318–02) and Commentary (ACI 318R–02),” American Concrete Institute, Detroit, 443p (2002).Google Scholar
2. ACI Committee 318, “Building Code Requirements for Structural Concrete (ACI 318–99) and Commentary (ACI 318R–99),” American Concrete Institute, Detroit, 391pp (1999).Google Scholar
3. ASCE 7–98, “Minimum Design Loads for Buildings and Other Structures,” American Society of Civil Engineers, Reston, VA, 337pp (1998).Google Scholar
4.Mirza, S. A. and MacGregor, J. G., “Statistical Study of Shear Strength of Reinforced Concrete Slender Beams,” ACI Journal, 76(11), pp. 1159–1177(1979).Google Scholar
5.Lu, W. Y. and Lin, I. J., “Probabilities of Shear Failure of Reinforced Concrete Beams,” Journal of the Chinese Institute of Civil and Hydraulic Engineering, 11(4), pp. 773–780 (1999) (in Chinese).Google Scholar
6. ACI Committee 318, “Building Code Requirements for Structural Concrete (ACI 318–95) and Commentary (ACI 318R–95),” American Concrete Institute, Detroit, 369p (1995).Google Scholar
7.Zsutty, T. C., “Shear Strength Prediction for Separate Categories of Simple Beam Tests,” ACI Journal, 68(2), pp. 138–143 (1971).Google Scholar
8.Mirza, S. A., Hatzinikolas, M. and MacGregor, J. G., “Statistical Descriptions of Strength of Concrete,” Journal of the Structural Division, ASCE, 105(ST6), pp. 1021–1037 (1979).CrossRefGoogle Scholar
9.Mirza, S. A. and MacGregor, J. G., “Variability of Mechanical Properties of Reinforcing Bars,” Journal of the Structural Division, ASCE, 105(ST5), pp. 921–937(1979).CrossRefGoogle Scholar
10.Tureyen, A. K. and Frosch, R. J., “Concrete Shear Strength: Another Perspective,” ACI Structural Journal, 100(5), pp. 609–615 (2003).Google Scholar
11.Nowak, A. S. and Szerszen, M. M., “Calibration of Design Code for Buildings (ACI 318): Part 1-Statistical Models for Resistance,” ACI Structural Journal, 100(3), pp. 377–382 (2003).Google Scholar
12.Chen, C. C., Hwang, S. J. and Lee, H. J., “Mechanical Properties and Over-Strength Factor of Steel Bars of Taiwan,” Journal of the Chinese Institute of Civil and Hydraulic Engineering, 12(2), pp. 233–238 (2000) (in Chinese).Google Scholar
13.Mirza, S. A. and Skrabek, B. W., “Reliability of Short Composite Beam-Column Strength Interaction,” Journal of Structural Engineering, ASCE, 117(8), pp. 2320–2339 (1991).CrossRefGoogle Scholar
14.Mirza, S. A. and MacGregor, J. G., “Variations in Dimensions of Reinforced Concrete Members,” Journal of Structural Division, ASCE, 105(ST4), pp. 751–766(1979).CrossRefGoogle Scholar
15.Ellingwood, B., Galambos, T. V., MacGregor, J. G. and Cornell, C. A., “Development of Probabilities Based Load Criterion for American National Standard A58,” NBS Special Publication No. 577, National Bureau of Standards, Washington, D. C., 222p (1980).Google Scholar
16.Galambos, T. V., Ellingwood, B., MacGregor, J. G. and Cornell, C. A., “Probabilities Based Load Criteria: Assessment of Current Design Practice,” Journal of Structural Division, ASCE, 108(ST5), pp. 959–977 (1982).CrossRefGoogle Scholar
17.Ang, AH-S and Tang, W.H., Probabilities Concepts in Engineering Planning and Design, Vol. II: Decision, Risk, and Reliability, John Wiley and Sons, New York, 562p (1984).Google Scholar
18.Marek, P., Guštar, M. and Anagnos, T., Simulation–Based Reliability Assessment for Structural Engineers, CRC Press. Inc., 365p (1996).Google Scholar
19. AISC, “Commentary on the Load and Resistance Factor Design Specification for Structural Steel Buildings,” American Institute of Steel Construction, Chicago (1999).Google Scholar