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Deflection Prediction for Reinforced Concrete Beams Through Different Effective Moment of Inertia Expressions

Year 2013, Volume: 5 Issue: 1, 1 - 1, 15.01.2013

Abstract

The effective moment of inertia expressions proposed by Branson and Bischoff are examined by comparing the deflection estimates from these two approaches to the measured deflection values of reinforced concrete beams with high reinforcement ratios (0.024<ρ<0.034). It was found out that both methods yield to deflection estimates in close agreement with the actual values and the method proposed by Bischoff bending deformations of heavily-reinforced concrete beams. Furthermore, the restrained shrinkage cracking was found to cause the deflection response of a concrete beam to be much weaker than the responses estimated by the effective moment of inertia expressions. Finally, the cracking moment estimates from the methods given in ACI 318-05, Eurocode 2 and TS 500 are compared to the experimental cracking moments of reinforced concrete beams. The cracking moment estimates based on the modulus of rupture expression in Eurocode 2 were found to be in closest agreement with the experimental values.

References

  • Al-Shaikh, A. H. and Al-Zaid, R. Z. (1993), “Effect of Reinforcement Ratio on the Effective Moment of Inertia of Reinforced Concrete Beams”, ACI Structural Journal, Vol. 90, No. 2, pp. 144-149. Al-Zaid, R. Z., Al-Shaikh, A. H., and Abu-Hussein, M. M. (1991), “Effect of Loading Type on the Effective Moment of Inertia of Reinforced Concrete Beams”, ACI Structural Journal, Vol. 88, No. 2, pp. 184-190. American Association of State Highway and Transportation Officials, AASHTO (2005), “AASHTO LRFD Bridge Design Specifications (SI Units)”, 3rd Edition, Washington DC, 5.41-5.42 pp. American Concrete Institute, ACI (2005), “Building Code Requirements for Structural Concrete (ACI 318-05) and Commentary (ACI R318-05)”, Farmington Hills, Michigan, 112 pp. Bischoff, P. H. (2005), “Reevaluation of Deflection Prediction for Concrete Beams Reinforced with Steel and Fiber Reinforced Polymer Bars”, Journal of Structural Engineering, ASCE, Vol. 131, No. 5, pp. 752-762. Bischoff, P. H. (2007), “Rational Model for Calculating Deflection of Reinforced Concrete Beams and Slabs”, Canadian Journal of Civil Engineering, Vol. 34, No. 8, pp. 992-1002. Bischoff, P. H. and Scanlon, A. (2007), “Effective Moment of Inertia for Calculating Deflections of Concrete Members Containing Steel Reinforcement and Fiber-Reinforced Polymer Reinforcement”, ACI Structural Journal, Vol. 104, No. 1, pp. 68-75. Branson, D. E. (1965), “Instantaneous and Time-Dependent Deflections of Simple and Continuous Reinforced Concrete Beams”, HPR Report No. 7, Part 1, pp. 1-78, Alabama Highway Department, Bureau of Public Roads, Alabama (Department of Civil Engineering and Auburn Research Foundation, Auburn University, August 1963). British Standards Institution, BS (1985), “BS 8110-2: 1985, Structural Use of Concrete – Part 2: Code of Practice for Special Circumstances”, London, pp. 10-14. Canadian Standards Association, CSA (2004), “CSA A23.3-04: Design of Concrete Structures”, Rexdale (Toronto), Ontario, Canada. Comité Euro-International Du Béton, CEB (1993), “CEB-FIP Model Code 1990”, Thomas Telford, London, pp. 87-90. European Committee for Standardization, CEN (2002), “Eurocode 2: Design of Concrete Structures - Part 1: General Rules and Rules for Buildings”, Brussels, pp. 26-35 & 132. Gilbert, R. I. (1999), “Deflection Calculation for Reinforced Concrete Structures-Why We Sometimes Get It Wrong”, ACI Structural Journal, Vol. 96, No. 6, pp. 1027-1033. Gilbert, R. I. (2006), “Discussion of "Reevaluation of Deflection Prediction for Concrete Beams Reinforced with Steel and Fiber Reinforced Polymer Bars" by Peter H. Bischoff”, Journal of Structural Engineering, ASCE, Vol. 132, No. 8, pp. 1328-1330. Kalkan, I. (2009), “Lateral Torsional Buckling of Rectangular Reinforced Concrete Beams”, Ph.D. thesis, Georgia Institute of Technology, Atlanta, Georgia, U.S.A. Scanlon, A., Cagley Orsak, D. R., and Buettner, D. R. (2001), “ACI Code Requirements for Deflection Control: A Critical Review”, SP203-01, American Concrete Institute, Farmington Hills, Michigan, pp. 1-13. Standards Association of Australia, SAA (1994), “AS 3600: Australian Standard for Concrete Structures”, Sydney, Australia, 146 pp. Turkish Standards Institute, TS (2000), “TS 500 - Requirements for Design and Construction of Reinforced Concrete Structures” Ankara, 61 pp. Yost, J. R., Gross, S. P., and Dinehart, D. W. (2003), “Effective Moment of Inertia for Glass Fiber-Reinforced Polymer-Reinforced Concrete Beams”, ACI Structural Journal, Vol. 100, No. 6, pp. 732- 739.
Year 2013, Volume: 5 Issue: 1, 1 - 1, 15.01.2013

Abstract

References

  • Al-Shaikh, A. H. and Al-Zaid, R. Z. (1993), “Effect of Reinforcement Ratio on the Effective Moment of Inertia of Reinforced Concrete Beams”, ACI Structural Journal, Vol. 90, No. 2, pp. 144-149. Al-Zaid, R. Z., Al-Shaikh, A. H., and Abu-Hussein, M. M. (1991), “Effect of Loading Type on the Effective Moment of Inertia of Reinforced Concrete Beams”, ACI Structural Journal, Vol. 88, No. 2, pp. 184-190. American Association of State Highway and Transportation Officials, AASHTO (2005), “AASHTO LRFD Bridge Design Specifications (SI Units)”, 3rd Edition, Washington DC, 5.41-5.42 pp. American Concrete Institute, ACI (2005), “Building Code Requirements for Structural Concrete (ACI 318-05) and Commentary (ACI R318-05)”, Farmington Hills, Michigan, 112 pp. Bischoff, P. H. (2005), “Reevaluation of Deflection Prediction for Concrete Beams Reinforced with Steel and Fiber Reinforced Polymer Bars”, Journal of Structural Engineering, ASCE, Vol. 131, No. 5, pp. 752-762. Bischoff, P. H. (2007), “Rational Model for Calculating Deflection of Reinforced Concrete Beams and Slabs”, Canadian Journal of Civil Engineering, Vol. 34, No. 8, pp. 992-1002. Bischoff, P. H. and Scanlon, A. (2007), “Effective Moment of Inertia for Calculating Deflections of Concrete Members Containing Steel Reinforcement and Fiber-Reinforced Polymer Reinforcement”, ACI Structural Journal, Vol. 104, No. 1, pp. 68-75. Branson, D. E. (1965), “Instantaneous and Time-Dependent Deflections of Simple and Continuous Reinforced Concrete Beams”, HPR Report No. 7, Part 1, pp. 1-78, Alabama Highway Department, Bureau of Public Roads, Alabama (Department of Civil Engineering and Auburn Research Foundation, Auburn University, August 1963). British Standards Institution, BS (1985), “BS 8110-2: 1985, Structural Use of Concrete – Part 2: Code of Practice for Special Circumstances”, London, pp. 10-14. Canadian Standards Association, CSA (2004), “CSA A23.3-04: Design of Concrete Structures”, Rexdale (Toronto), Ontario, Canada. Comité Euro-International Du Béton, CEB (1993), “CEB-FIP Model Code 1990”, Thomas Telford, London, pp. 87-90. European Committee for Standardization, CEN (2002), “Eurocode 2: Design of Concrete Structures - Part 1: General Rules and Rules for Buildings”, Brussels, pp. 26-35 & 132. Gilbert, R. I. (1999), “Deflection Calculation for Reinforced Concrete Structures-Why We Sometimes Get It Wrong”, ACI Structural Journal, Vol. 96, No. 6, pp. 1027-1033. Gilbert, R. I. (2006), “Discussion of "Reevaluation of Deflection Prediction for Concrete Beams Reinforced with Steel and Fiber Reinforced Polymer Bars" by Peter H. Bischoff”, Journal of Structural Engineering, ASCE, Vol. 132, No. 8, pp. 1328-1330. Kalkan, I. (2009), “Lateral Torsional Buckling of Rectangular Reinforced Concrete Beams”, Ph.D. thesis, Georgia Institute of Technology, Atlanta, Georgia, U.S.A. Scanlon, A., Cagley Orsak, D. R., and Buettner, D. R. (2001), “ACI Code Requirements for Deflection Control: A Critical Review”, SP203-01, American Concrete Institute, Farmington Hills, Michigan, pp. 1-13. Standards Association of Australia, SAA (1994), “AS 3600: Australian Standard for Concrete Structures”, Sydney, Australia, 146 pp. Turkish Standards Institute, TS (2000), “TS 500 - Requirements for Design and Construction of Reinforced Concrete Structures” Ankara, 61 pp. Yost, J. R., Gross, S. P., and Dinehart, D. W. (2003), “Effective Moment of Inertia for Glass Fiber-Reinforced Polymer-Reinforced Concrete Beams”, ACI Structural Journal, Vol. 100, No. 6, pp. 732- 739.
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İlker Kalkan This is me

Publication Date January 15, 2013
Submission Date October 23, 2017
Published in Issue Year 2013 Volume: 5 Issue: 1

Cite

APA Kalkan, İ. (2013). Deflection Prediction for Reinforced Concrete Beams Through Different Effective Moment of Inertia Expressions. International Journal of Engineering Research and Development, 5(1), 1-1.

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