Deformation Model for Reinforced and Cracked Prestressed Concrete

1. ACI Committee 318, 1971, “Building Code Requirements for Reinforced Concrete (ACI 318-71),” American Concrete Institute, Farmington Hills, MI, 78 pp.

2. ACI Committee 318, 2014, “Building Code Requirements for Structural Concrete (ACI 318-14) and Commentary (ACI 318R-14),” American Concrete Institute, Farmington Hills, MI, 520 pp.

3. ACI Committee 318, 2019, “Building Code Requirements for Structural Concrete (ACI 318-19) and Commentary (ACI 318R-19),” American Concrete Institute, Farmington Hills, MI, 624 pp.

4. ACI Committee 440, 2015, “Guide for the Design and Construction of Structural Concrete Reinforced with Fiber-Reinforced Polymer (FRP) Bars (ACI 440.1R-15),” American Concrete Institute, Farmington Hills, MI, 88 pp.

5. Balázs, G. L.; Bisch, P.; Borosnyói, A.; Burdet, O.; Burns, C.; Ceroni, F.; Cervenka, V.; Chiorino, M. A.; Debernardi, P.; Eckfeldt, L.; El-Badry, M.; Fehling, E.; Foster, S. J.; Ghali, A.; Gribniak, V.; Guiglia, M.; Kaklauskas, G.; Lark, R. J.; Lenkei, P.; Lorrain, M.; Marí, A.; Ozbolt, J.; Pecce, M.; Pérez Caldentey, A.; Taliano, M.; Tkalcic, D.; Torrenti, J. M.; Torres, L.; Toutlemonde, F.; Ueda, T.; Vitek, J. L.; and Vráblík, L., 2013, “Design for SLS According to fib Model Code 2010,” Structural Concrete, V. 14, No. 2, June, pp. 99-123. doi: 10.1002/suco.20120006010.1002/suco.201200060 ↗

6. Bischoff, P. H., 2018, “A Plea for Unified Deflection Calculation of Reinforced Concrete Flexural Members,” Proceedings, Sixth International Specialty Conference (CSCE 2018), Fredericton, NB, Canada, June 13-16, pp. ST11-1-ST11-9.

7. Bischoff, P. H., 2020, “Comparison of Existing Approaches for Computing Deflection of Reinforced Concrete,” ACI Structural Journal, V. 117, No. 1, Jan., pp. 231-240. doi: 10.14359/5171807210.14359/51718072 ↗

8. Bischoff, P. H., and Gross, S. P., 2011, “Design Approach for Calculating Deflection of FRP-Reinforced Concrete,” Journal of Composites for Construction, ASCE, V. 15, No. 4, Aug., pp. 490-499. doi: 10.1061/(ASCE)CC.1943-5614.000019510.1061/(ASCE)CC.1943-5614.0000195 ↗

9. Bischoff, P. H.; Naito, C. J.; and Ingaglio, J. P., 2018, “Immediate Deflection of Partially Prestressed Concrete Flexural Members,” ACI Structural Journal, V. 115, No. 6, Nov., pp. 1683-1693. doi: 10.14359/5170238110.14359/51702381 ↗

10. Bischoff, P. H., and Torres, L., 2021, “Rational Approach for Computing Long-Term Deflection of Reinforced Concrete,” ACI Structural Journal, V. 118, No. 2, Mar., pp. 215-224. doi: 10.14359/5172819210.14359/51728192 ↗

11. Branson, D. E., 1977, Deformation of Concrete Structures, McGraw-Hill, New York, NY, 546 pp.

12. Branson, D. E., and Trost, H., 1982, “Application of the I-Effective Method in Calculating Deflections of Partially Prestressed Members,” PCI Journal, V. 27, No. 5, Sept.-Oct., pp. 62-77. doi: 10.15554/pcij.09011982.62.7710.15554/pcij.09011982.62.77 ↗

13. Comité Euro-International du Béton, 1984, “CEB Design Manual Cracking and Deformations (CEB Bulletin D’Information No. 158-E),” CEB, Lausanne, Switzerland.

14. CSA A23.3:19, 2019, “Design of Concrete Structures,” CSA Group, Toronto, ON, Canada, 301 pp.

15. EN 1992-1-1:2004, 2004, “Eurocode 2: Design of Concrete Structures—Part 1-1: General Rules and Rules for Buildings,” European Committee for Standardization (CEN), Brussels, Belgium, 227 pp.

16. Espion, B., and Halleux, P., 1988, “Moment Curvature Relationship of Reinforced Concrete Sections under Combined Bending and Normal Force,” Materials and Structures, V. 21, No. 5, Sept., pp. 341-351. doi: 10.1007/BF0247216010.1007/BF02472160 ↗

17. Fédération internationale du béton, 2013, “fib Model Code for Concrete Structures 2010 (MC2010),” fib, Lausanne, Switzerland, 434 pp.

18. Gayed, R. B., and Ghali, A., 2019, “Control of Long-Term Deflection of Concrete Slabs by Prestressing,” Structural Concrete, V. 20, No. 6, Dec., pp. 1816-1827. doi: 10.1002/suco.20180034010.1002/suco.201800340 ↗

19. Gilbert, R. I., 1988, Time Effects in Concrete Structures, Elsevier, Amsterdam, the Netherlands, 321 pp.

20. Gilbert, R. I., 1999, “Deflection Calculation for Reinforced Concrete Structures—Why We Sometimes Get It Wrong,” ACI Structural Journal, V. 96, No. 6, Nov.-Dec., pp. 1027-1032. doi: 10.14359/77910.14359/779 ↗

21. Leonhardt, F., 1977, “Crack Control in Concrete Structures (IABSE Surveys S-4/77),” International Association for Bridge and Structural Engineering, Zürich, Switzerland, 26 pp.

22. Nilson, A. H., 1976, “Flexural Stresses after Cracking in Partially Prestressed Beams,” PCI Journal, V. 21, No. 4, July-Aug., pp. 72-81. doi: 10.15554/pcij.07011976.72.8110.15554/pcij.07011976.72.81 ↗

23. Pirayeh Gar, S.; Mander, J. B.; and Hurlebaus, S., 2019, “Closure to ‘Deflection of FRP Prestressed Concrete Beams’ by Shobeir Pirayeh Gar, John B. Mander, and Stefan Hurlebaus,” Journal of Composites for Construction, ASCE, V. 23, No. 2, Apr., p. 07019002. doi: 10.1061/(ASCE)CC.1943-5614.000093510.1061/(ASCE)CC.1943-5614.0000935 ↗

24. Precast/Prestressed Concrete Institute, 2017, PCI Design Handbook: Precast and Prestressed Concrete (MNL-120-17), eighth edition, PCI, Chicago, IL.

25. Rao, P. S., 1966, “Die Grundlagen zur Berechnung der bei statisch unbestimmten Stahlbetonkonstruktionen im plastichen Bereich aufttretenden Umlagerungen der Schnittkräfte (Basic Laws Governing Moment Redistribution in Statically Indeterminate Reinforced Concrete Structures) (Heft 177),” DAfStb, Ernst & Sohn, Berlin, Germany. (in German)

26. Scanlon, A., and Bischoff, P. H., 2008, “Shrinkage Restraint and Loading History Effects on Deflections of Flexural Members,” ACI Structural Journal, V. 105, No. 4, July-Aug., pp. 498-506. doi: 10.14359/1986410.14359/19864 ↗

27. Tadros, M. K., 1982, “Expedient Service Load Analysis of Cracked Prestressed Concrete Sections,” PCI Journal, V. 27, No. 6, Nov.-Dec., pp. 86-111. doi: 10.15554/pcij.11011982.86.11110.15554/pcij.11011982.86.111 ↗