TECHNICAL PAPERS
May 1, 2006

Critical Inclination of Compression Struts in Concrete Beams

Publication: Journal of Structural Engineering
Volume 132, Issue 5

Abstract

In design for shear forces with stress fields, three failure criteria are usually considered: failure of the chords, of the compression struts, and of the stirrups. Bond failure along the chords is usually not explicitly checked. The effective concrete strength in the struts and the bond strength along the chord are combined with the stresses in the stirrups to determine critical inclinations of the compression struts. An expression for the effective concrete strength is proposed considering compression softening, while the proposed expression for bond strength considers concrete strength, bar roughness, and the beneficial effect of lateral pressure exerted by the stirrup forces. Parametric studies are discussed and conclusions are drawn on the governing failure criteria and the critical inclination of the compression struts in the ultimate limit state. An Appendix summarizes the calibration of the proposal for the effective concrete compressive strength and compares it to other proposals from the literature.

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References

Belarbi, A., and Hsu, T. T. C. (1995). “Constitutive laws of softened concrete in biaxial tension-compression.” ACI Struct. J., 92(5), 562–573.
Collins, M. P., and Mitchell, D. (1980). “Shear and torsion design of prestressed and non-prestressed concrete beams.” J. Prestressed Concrete Inst., 25(5), 32–100.
Collins, M. P., Mitchell, D., Adebar, P., and Vecchio, F. J. (1996). “A general shear design method.” ACI Struct. J., 93(1), 36–45.
Eibl, J., and Neuroth, U. (1988). “Untersuchungen zur druckfestigkeit von bewehrtem beton bei gleichzeitig wirkendem querzug.” (“Investigations on the compression strength of reinforced concrete under simultaneous lateral tension.”) Rep. No. T2024, Univ. of Karlsruhe, Institute of Concrete Structures and Building Materials, Karlsruhe, Germany (in German).
Kaufmann, W. (1998). “Strength and deformations of structural concrete subjected to in-plane shear and normal forces.” Ph.D. thesis, Rep. No. 234, Institute of Structural Engineering, ETH Zurich, Zurich, Switzerland.
Kaufmann, W., and Marti, P. (1998). “Structural concrete: Cracked membrane model.” J. Struct. Eng., 124(12), 1467–1475.
Kollegger, J., and Mehlhorn, G. (1990). “Experimentelle untersuchungen zur bestimmung der druckfestigkeit des gerissenen stahlbetons bei einer querzugbeanspruchung.” (“Experimental investigations for the determination of the compressive strength of cracked reinforced concrete under lateral tension.”) Rep. No. 413, Deutscher Ausschuss für Stahlbeton, Beuth, Berlin (in German).
Marti, P. (1999a). “A simple, consistent approach to structural concrete.” J. Struct. Eng., 77(9), 20–26.
Marti, P. (1999b). “How to treat shear in structural concrete.” ACI Struct. J., 96(3), 408–414.
Marti, P., Alvarez, M., Kaufmann, W., and Sigrist, V. (1998). “Tension chord model for structural concrete.” Struct. Eng. Int. (IABSE, Zurich, Switzerland), 8(4), 287–298.
Muttoni, A. (1990). “Die Anwendbarkeit der plastizitätstheorie in der bemessung von stahlbeton.” (“The application of the theory of plasticity in the design of reinforced concrete.”) Ph.D. thesis, Rep. No. 176, Institute of Structural Engineering, ETH Zurich, Zurich, Switzerland (in German).
Muttoni, A., Schwartz, J., and Thürlimann, B. (1996). Design of concrete structures with stress fields, Birkhäuser, Boston.
Rabbat, B. G., and Russell, H. G. (1985). “Friction coefficient of steel on concrete or grout.” J. Struct. Eng., 111(3), 505–515.
Schäfer, K., Schelling, G., and Kuchler, T. (1990). “Druck und querzug in bewehrten betonelementen.” (“Compression and lateral tension in reinforced concrete elements.”) Rep. No. 408, Deutscher Ausschuss für Stahlbeton, Beuth, Berlin, 5–85 (in German).
Vecchio, F. J., and Collins, M. P. (1986). “The modified compression field theory for reinforced concrete elements subjected to shear.” J. Am. Concr. Inst., 83(2), 219–231.
Vogel, T., and Ulaga, T. (2002). “Strengthening of a concrete bridge and loading to failure.” Struct. Eng. Int. (IABSE, Zurich, Switzerland), 12(2), 105–110.
Zhang, L. X., and Hsu, T. T. C. (1998). “Behavior and analysis of 100MPa concrete elements.” J. Struct. Eng., 124(1), 24–34.
Zwicky, D. (2002). “Zur tragfähigkeit stark vorgespannter betonbalken.” (“On the bearing capacity of highly prestressed concrete girders.”) Ph.D. thesis, Rep. No. 275, Institute of Structural Engineering, ETH Zurich, Zurich, Switzerland (in German).

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 132Issue 5May 2006
Pages: 686 - 693

History

Received: Feb 11, 2003
Accepted: Jul 13, 2005
Published online: May 1, 2006
Published in print: May 2006

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Notes

Note. Associate Editor: Dat Duthinh

Authors

Affiliations

Daia Zwicky [email protected]
Supervising Structural Engineer, Wolf, Kropf and Partners, Siewerdtstr. 69, CH-8050 Zurich, Switzerland (corresponding author). E-mail: [email protected]
Thomas Vogel [email protected]
Professor, Institute of Structural Engineering, ETH Zurich, HIL E 33.3, CH-8093 Zurich, Switzerland. E-mail: [email protected]

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