Piecewise Linear Behavior of RC Beams with Openings
Publication: Journal of Structural Engineering
Volume 117, Issue 6
Abstract
A method is presented in this paper to predict the load‐deflection response of a reinforced‐concrete beam containing a large opening. The load‐deflection curve has been idealized by a piecewise linear relation in which each transition point represents the formation of a plastic hinge. The method of successive elastic analyses is used to trace the formation of hinges until a mechanism is formed. Deflections corresponding to each plastic hinge formation are calculated by linear superposition of deflections caused by flexural action on the entire beam to those produced by shear at the opening. The former is calculated using the conjugate segment analogy while the latter is obtained by treating the chord members as double cantilevers. A comparison of theoretical predictions with test data available on 12 simply supported, three two‐span continuous, and five three‐span continuous beams shows good agreement in load‐deflection relations and modes of failure as well as maximum deflections at calculated service loads, redundant support reactions, and the load at collapse.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Alves, T. M. J., and Scanlon, A. (1985). “Deflections of prestressed concrete beams with openings.” Deflections of Concrete Structures SP‐86, American Concrete Inst., Detroit, Mich., 215–230.
2.
Barney, G. B., Corley, W. G., Hanson, J. M., and Parmelee, R. A. (1977). “Behavior and design of prestressed concrete beams with large web openings.” J. Prestressed Concrete Inst., 22(6), 32–61.
3.
“Building code requirements for reinforced concrete.” (1989). ACI 318‐89, American Concrete Inst., ACI Committee 318, Detroit, Mich.
4.
Lorensten, M. (1962). “Holes in reinforced concrete girders.” Byggmastren, 41(7), 141–152 (in Swedish).
5.
Mansur, M. A., Tan, K. H., and Lee, S. L. (1984). “Collapse loads of reinforced concrete beams with large openings.” J. Struct. Engrg., ASCE, 110(11), 2602–2618.
6.
Mansur, M. A., Tan, K. H., and Lee, S. L. (1985). “Design method for reinforced concrete beams with large openings.” J. American Concrete Inst., 82(4), 517–524.
7.
Mansur, M. A., Lee, Y. F., Tan, K. H., and Lee, S. L. (1991). “Tests on RC continuous beams with openings.” J. Struct. Engrg., ASCE, 117(6), 1593–1606.
8.
Nasser, K. W., Acavalas, A., and Daniel, H. R. (1967). “Behavior and design of large openings in reinforced concrete beams.” J. American Concrete Inst., 64(1), 25–33.
9.
Ragan, H. S., and Warwaruk, J. (1967). “Tee members with large web openings.” J. Prestressed Concrete Inst., 12(4)., 52–65.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 117 • Issue 6 • June 1991
Pages: 1607 - 1621
Copyright
Copyright © 1991 ASCE.
History
Published online: Jun 1, 1991
Published in print: Jun 1991
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.