Title: Toward a Consistent Design of Structural Concrete
Date: May-June, 1987
Volume: 32
Issue: 3
Page number: 74-150
Author(s): Jorg Schlaich, Kurt Schafer, Mattias Jennewein
https://doi.org/10.15554/pcij.05011987.74.150

Click here to access the full journal article

Abstract

Certain parts of structures are designed with almost exaggerated accuracy while other parts are designed using rules of thumb or judgment based on past experience. However, all parts of a structure are of similar importance. A unified design concept, which is consistent for all types of structures and all their parts, is required. To be satisfactory, this concept must be based on realistic physical models. Strut-and-tie-modeIs, a generalization of the well known truss analogy method for beams, are proposed as the appropriate approach for designing structural concrete, which includes both reinforced and  prestressed concrete structures. This report shows how suitable models are developed and proposes criteria according to which the model's elements can be dimensioned uniformly for all possible cases.  The concept is explained using numerous design examples, many of which treat the effect of prestress. This report was initially prepared for discussion within CEB (Comité Euro-International du Béton) in connection with the revision of the Model Code.

References

1. Schlaich, J., and Weischede, D., "Ein praktisches Verfahren zum methodischen Bemessen and Konstruicren im Stahlbetonhau" (A Practical Method for the Design and Detailing of Structural Concrete), Bulletin d'Information No. 150, Comite Euro-International du Beton, Paris, March 1982.

2. Schlaich, J., Schafer, K., "Towards a Consistent Design of Reinforced Concrete Structures," 12th Congress of IABSE, Vancouver, British Columbia, September 1984.

3. Schlaich, J., and Schafer, K., "Konstruieren im Stahlbetonbau" (Design and Detailing of Structural Concrete), Betonkalender 1984, Part II, W. Ernst & Sohn, Berlin-Munchen, pp. 787-1005.

4. Bitter,  W., "Die Bauweise Hennebique" (The Hennebique System), Schweizerische Bauzeitung, Bd. XXXIII, No. 7, January 1899. 

5. Mbrsch, E., "Der Eisenbetonbau, seineTheorie and Anwendung" (Reinforced Concrete, Theory and Application), Verlag Konrad Wittwer, Stuttgart, 1912.

6. Leonhardt, F., "Reducing the Shear  Reinforcement in Reinforced Concrete Beams and Slabs," Magazine of Concrete Research, V. 17, No. 53, December 1965, p. 187.

7. Rusch, H., "Ober die Grenzen der Anwendbarkeit  der Fachwerkanalogie bei der Berechnung der Schubfestigkeit von Stahlhetonbalken" (On the Limitations of Applicability of the Truss Analogy for the Shear Design of Reinforced Concrete Beams), Festschrift F. Campus "Ainici et Alumni," Universite de Liege, 1964,

8. Kupfer, H., "Erweiterung der Morsch'- schen Fachwerkanalogie mit Hilfe des Prinzips vom Minimum der Formanderungsarbeit" (Expansion of Marsch's Truss Analogy by Application of the   Principle of Minimum Strain Energy), CEB-Bulletin 40, Paris, 1964.

9. Thiirlimann, B., Marti, P., Pralong, J., Ritz, P., and Zimmerli, B., "Vorlesung rum Forthildungskurs fur Bauingenieure" (Advanced Lecture for Civil Engineers), Institut far Baustatik and Konstniktion, ETH Zurich, 1983 (see further references here).

10. Marti, P., "Basic Tools of Reinforced Concrete Beam Design," ACI Journal, V. 82, No. 1, January-February 1985, pp. 46-56 (see also Ref. 25).

11. Collins, M. P., and Mitchell, D., "Shear and Torsion Design of Prestressed and Nonprestressed Concrete Beams," PCI JOURNAL, V. 25, No. 5, September- October 1980, pp. 32-100.

12. Weischede, D., "Untersuchungen rummethodischen Konstruieren im Stahlbetonbau" (Investigations on the Methodical Detailing of Structural Concrete), Thesis, Institut fir Massivhau, Stuttgart,  1983.

13. Reinke, H. G., -Zum Ansatz der Betonzugfestigkeit bei der Stahlbetonbemessung" (On the Assessment of the Concrete Tensile Strength in the Design of Structural Concrete), Thesis, Institut for  Massivbau, Stuttgart, 1986.

14. Kupfer, H., and Moosecker, W., "Beanspnichung and Verformung der Schubzone des schlanken profilierten Stahlbetonbalkens" (Stresses and Deformations of the Shear Zone of Slender Profiled  Reinforced Concrete Beams), Forschungsheitrage for dir Baitpraxis (Kordina-Festschrift), W. Ernst & Sohn, Berlin, 1979, pp. 225-236.

15, Jennewein, M. F., "Zum Verstandnis der  Lastahtragung and des Tragverhaltens von Stahlbetontragwerken mittels Stabwekmodellen"(Explanation of the Load Bearing Behavior of Structural   Concrete by Strut-and-Tie-Models). Thesis being prepared, Institut fur Massivbau, Stuttgart.

16. Reineck, K. H., "Model for Beams Without Shear Reinforcement," Work in preparation, Institut ftir   Massivbau, Stuttgart.

17. Baumann, P., "Die Beton-Druckfelder bei der Stahlbetonbemessung mittels Stabwerkmodellen" (Concrete Compression Fields for the Design of Structural  Concrete by Strut-and-Tic-Models).Thesis  n preparation, Stuttgart.

18. Jahn, M., "Zum Ansatz der Betonzugfestigkeit bei den Nachweisen zur Tragund Cebrauchsfahigkeit von unbewehrten and bewehrten Betonbauteilen" (On the Assessment of Concrete Tensile Strength for the Ultimate Capacity and the Serviceability of Concrete Members With and Without Reinforcement), DAfStb.-Heft341, Berlin, 1983.

19. Konig, G., "Control of Cracks in Reinforced  Concrete and Prestressed Concrete," Proceedings 1 of the Tenth International Congress of the FIP, New Delhi, 1986, pp. 259-268.

20. Niyogi, S. K., "Concrete Bearing Strength - Support, Mix, Size Effect," Journal of the Structural Division, ASCE, V. 100, No. ST8, August 1974, pp. 1685-1702.

21. Schober, H., "Ein Modell zur Berechnung des Verbundes and der Risse im Stahl- and Spannbeton" (A Model for the Assessment of Bond and Cracks in Reinforced and Prestressed Concrete), Thesis,  Stuttgart, 1984.

22. Stone, W. C., and Breen, J. E., "Design of Post-Tensioned Girder Anchorage Zones," PCI JOURNAL, V. 29. No. 1,  January-February 1984, pp. 64-109, and V. 29, No.2, March-April 1984, pp. 28-61.

23. Collins, M. P., and Vecchio, F., "The Response of Reinforced Concrete to In plane Shear and Normal Stresses," Publication No. 82-03, University of Toronto, March 1982.

24. Design of Concrete  Structures for Buildings, CAN3-A23.3.M84, Canadian Standards Association, Rexdale, Ontario, 1984.

25. Marti, P., "Truss Models in Detailing," Concrete International, V. 7, No. 12, December 1985, pp. 66-73.

26. CEB-FIP Model Code for Concrete Structures, Comite Euro-International  du Btton (CEB), 1978.

27. Mueller, P., "Plastische Berechnung von  Stahlbetonscheiben and Balken" (PlasticAnalysis of Reinforced Concrete Deep Beams and Beams), Bericht No. 83, Institut  fur Baustatik and Konstruktion,ETH Zurich, July 1978.