Equivalent moment of inertia based on integration of curvature

Journal of Composites for Construction

Volumn 15, Issue 3, 2011, Pages 263-273

  Bischoff, Peter H ^a   Gross, Shawn P ^b  

^a UNIVERSITY OF NEW BRUNSWICK   (Canada)

^b Villanova University   (United States)

Author keywords

Curvature; Deflection; Effective moment of inertia; Fiber reinforced polymer; Flexure; Integration; Reinforced concrete; Reinforcing steel; Serviceability

Indexed keywords

CURVATURE; EFFECTIVE MOMENT OF INERTIA; FIBER-REINFORCED POLYMER; FLEXURE; REINFORCING STEELS; SERVICEABILITY;

CONCRETE BUILDINGS; DEFLECTION (STRUCTURES); FIBER REINFORCED PLASTICS; REINFORCED CONCRETE; REINFORCED PLASTICS; REINFORCEMENT; STIFFNESS;

INTEGRATION;

EID: 79959355592     PISSN: 10900268     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)CC.1943-5614.0000164     Document Type: Article

References (37)

1. Al-Sunna, R. A. S. (2006). Deflection behaviour of FRP-reinforced concrete flexural members. Ph.D. dissertation, University of Sheffield, Sheffield, England, 318.
2. Al-Zaid, R. Z., Al-Shaikh, A. H., and Abu-Hussein, M. H. (1991). Effect of loading type on the effective moment of inertia of reinforced concrete beams. ACI Struct. J. 0889-3241, 88 (2), 184-190.
3. American Concrete Institute (ACI) Committee 318. (1971). Building code requirements for reinforced concrete. ACI 318-71, ACI, Farmington Hills, MI, 78.
4. American Concrete Institute (ACI) Committee 318. (2008). Building code requirements for structural concrete and commentary. ACI 318-08, ACI, Farmington Hills, MI, 465.
5. American Concrete Institute (ACI) Committee 435. (1995). Control of deflection in concrete structures. ACI 435R-95, ACI, Farmington Hills, MI, 88.
6. American Concrete Institute (ACI) Committee 440. (1996). State-of-the-art report on fiber reinforced plastic (FRP) reinforcement for concrete structures. ACI 440R-96, ACI, Farmington Hills, MI, 68.
7. American Concrete Institute (ACI) Committee 440. (2003). Guide for the design and construction of concrete reinforced with FRP bars. ACI 440.1R-03, ACI, Farmington Hills, MI, 42.
8. American Concrete Institute (ACI) Committee 440. (2006). Guide for the design and construction of concrete reinforced with FRP bars. ACI 440.1R-06, ACI, Farmington Hills, MI, 44.
9. Benmokrane, B., Chaallal, O., and Masmoudi, R. (1996). Flexural response of concrete beams reinforced with FRP reinforcing bars. ACI Struct. J. 0889-3241, 91 (2), 46-55. (Pubitemid 126509775)
10. Bischoff, P. H. (2005). Reevaluation of deflection prediction for concrete beams reinforced with steel and fibre reinforced polymer (FRP) bars. J. Struct. Eng. 0733-9445, 131 (5), 752-767. 10.1061/(ASCE)0733-9445(2005)131: 5(752) (Pubitemid 40609967)
11. Bischoff, P. H. (2006). Discussion of Behavior of aramid fiber-reinforced polymer reinforced high strength concrete beams under bending' by M. A. Rashid, M. A. Mansur, and P. Paramasivam., J. Compos. Constr. 1090-0268, 10 (4), 367-368. 10.1061/(ASCE)1090-0268(2006)10:4(367) (Pubitemid 44090924)
12. Bischoff, P. H. (2007 a). Deflection calculations of FRP-reinforced concrete beams based on modifications to the existing Branson equation. J. Compos. Constr. 1090-0268, 11 (1), 4-14. 10.1061/(ASCE)1090-0268(2007)11:1(4) (Pubitemid 46121707)
13. Bischoff, P. H. (2007 b). Rational model for calculating deflection of reinforced concrete beams and slabs. Can. J. Civ. Eng. 0315-1468, 34 (8), 992-1002. 10.1139/l07-020 (Pubitemid 350141834)
14. Bischoff, P. H., and Johnson, R. D. (2007). Effect of shrinkage on short-term deflection of reinforced concrete beams and slabs. Structural Implications of Shrinkage and Creep of Concrete, ACI SP 246-10, N. J. Gardner, and, M. A. Chiorino, eds., American Concrete Institute, Farmington Hills, MI, 167-180.
15. Bischoff, P. H., and Paixao, R. (2004). Tension stiffening and cracking of concrete reinforced with glass fiber-reinforced polymer (GFRP) bars. Can. J. Civ. Eng. 0315-1468, 31 (4), 579-588. 10.1139/l04-025 (Pubitemid 39500605)
16. Bischoff, P. H., and Scanlon, A. (2007). Effective moment of inertia for calculating deflections of concrete members containing steel reinforcement and FRP reinforcement. ACI Struct. J. 0889-3241, 104 (1), 68-75.
17. Branson, D. E. (1965). Instantaneous and time-dependent deflections of simple and continuous reinforced concrete beams. HPR Report No. 7, Part 1, Alabama Highway Department, Bureau of Public Roads, Montgomery, AL, 78.
18. Canadian Standards Association (CSA). (2002). Design and construction of building components with fibre-reinforced polymers. CSA Standard S806-02, Rexdale (Toronto), Ontario, 177.
19. Comit Euro-International du Bton (CEB-FIP). (1993). CEB-FIP Model Code (MC-90). Thomas Telford, London, 437.
20. European Committee for Standardization (CEN). (2004). Design of concrete structures-Part 1-1: General rules and rules for buildings. Eurocode 2, European Standard BS EN 1992-1-1: 2004. Brussels, 230.
21. Faza, S. S. (1991). Bending and bond behavior and design of concrete beams reinforced with fiber reinforced plastic rebars. Ph.D. dissertation, West Virginia University, Morgantown, WV, 200.
22. Ghali, A. (1993). Deflection of reinforced concrete members: A critical review. ACI Struct. J. 0889-3241, 90 (4), 364-373. (Pubitemid 23712811)
23. Gross, S. P., Dinehart, D. W., Yost, J. R., and Theisz, P. (2004). Experimental tests of high-strength concrete beams reinforced with CFRP bars. Proc. of the 4th Intl. Conf. on Advanced Composite Materials in Bridges and Structures, Calgary, Canada, Paper No. 153, 1-8.
24. International Conf. of Building Officials (ICBO). (1997). Structural engineering design provisions. 1997 Uniform Building Code (UBC), Vol. 2. International Conference of Building Officials, Whittier, California
25. Int. Federation for Structural Concrete (FIB). (2007). FRP reinforcement in RC structures. Bulletin 40, Lausanne, Switzerland, 147.
26. Kakizawa, T., Ohno, S., and Yonezawa, T. (1993). Flexural behavior and energy absorption of carbon FRP-reinforced concrete beams., Fiber Reinforced Plastic Reinforcement for Concrete Structures, ACI SP-138, American Concrete Institute, Farmington Hills, MI, 585-598.
27. Kassem, C., El-Salakawy, E., and Benmokrane, B. (2003). Deflection behaviour of concrete beams reinforced with carbon FRP composite bars. Deflection Control for the Future, ACI SP-210., N. J. Gardner, ed., American Concrete Institute, Farmington Hills, MI, 173-190.
28. Malhas, F. A., and Rahman, A. (2003). A comparison of the ACI and EC2 code provisions for flexural deflections. Deflection Control for the Future, ACI SP-210, N. J. Gardner, ed., American Concrete Institute, Farmington Hills, MI, 93-114.
29. Masmoudi, R., Theriault, M., and Benmokrane, B. (1998). Flexural behavior of concrete beams reinforced with deformed fiber reinforced plastic reinforcing rods. ACI Struct. J. 0889-3241, 95 (6), 665-675.
30. Mota, C., Alminar, S., and Svecova, D. (2006). Critical review of deflection formulas for FRP-RC members. J. Compos. Constr. 1090-0268, 10 (3), 183-194. 10.1061/(ASCE)1090-0268(2006)10:3(183) (Pubitemid 43970087)
31. Nakano, K., Matsuzaki, Y., Fukuyama, H., and Teshigawara, M. (1993). Flexural performance of concrete beams reinforced with continuous fiber bars. Fiber Reinforced Plastic Reinforcement for Concrete Structures, ACI SP-138, American Concrete Institute, Farmington Hills, MI, 743-766.
32. Rasheed, H. A., Nayal, R., and Melhem, H. (2004). Response prediction of concrete beams reinforced with FRP bars. Compos. Struct. 0263-8223, 65 (2), 193-204. 10.1016/j.compstruct.2003.10.016 (Pubitemid 38728621)
33. Razaqpur, A. G., Svecova, D., and Cheung, M. S. (2000). Rational method for calculating deflection of fiber-reinforced polymer reinforced beams. ACI Struct. J. 0889-3241, 97 (1), 175-185.
34. Scanlon, A., and Bischoff, P. H. (2008). Shrinkage restraint and loading history effects on deflection of flexural members. ACI Struct. J. 0889-3241, 105 (4), 498-506.
35. Theriault, M., and Benmokrane, B. (1998). Effects of FRP reinforcement ratio and concrete strength on flexural behavior of concrete beams. J. Compos. Constr. 1090-0268, 2 (1), 7-16. 10.1061/(ASCE)1090-0268(1998)2:1(7)
36. Toutanji, H., and Saafi, M. (2000). Flexural behavior of concrete beams reinforced with glass fiber-reinforced polymer bars. ACI Struct. J. 0889-3241, 97 (5), 712-719.
37. Yost, J. R., Gross, S. P., and Dinehart, D. W. (2003). Effective moment of inertia for glass fiber-reinforced polymer-reinforced concrete beams. ACI Struct. J. 0889-3241, 100 (6), 732-739.