Effect of Service Load Levels on Long-Term Deflection Multiplier

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Title: Effect of Service Load Levels on Long-Term Deflection Multiplier

Author(s): Stephanie Walkup, Eric Musselman, and Shawn Gross

Publication: Structural Journal

Volume: 116

Issue: 2

Appears on pages(s): 89-100

Keywords: deflection; deflection multiplier; glass fiber-reinforced polymer (GFRP)-reinforced concrete beams; GFRP reinforcement; long-term deflection; service load levels; sustained loads

DOI: 10.14359/51711137

Date: 3/1/2019

Abstract:
ACI 318 and ACI 440.1R amplify initial sustained load deflections by a long-term deflection multiplier λΔ to calculate long-term sustained load deflections. Calculation of this multiplier λΔ is a function of only the duration of sustained loading and the compression reinforcement ratio. This research study examines three steel-reinforced and nine glass fiber-reinforced polymer (GFRP)-reinforced concrete beams subjected to varying Ma/Mcr and Msus/Mcr ratios to determine their effect on λΔ. Due to the constant beam cross section and various reinforcement ratios, the Ig/Icr ratio also varied between specimen subsets. Experimental results demonstrate that as Ig/Icr and Ma/Mcr increase, λΔ decreases. Higher Msus/Mcr ratios increased long-term deflections, but this ratio has no effect on the multiplier λΔ. Analysis using Yu and Winter’s effective modulus of elasticity method combined with Bischoff’s equation for effective moment of inertia that incorporates the Ig/Icr and Ma/Mcr ratios is used for verification to analytically bound the experimental long-term deflection multipliers.

Related References:

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.

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.

Arockiasamy, M.; Amer, A.; and Shahawy, M., 1998, “Environmental and Long-Term Studies of CFRP Cables and CFRP Reinforced Concrete Beams,” Proceedings of the First International Conference on Durability of Composites for Construction, Sherbrooke, QC, Canada, pp. 599-610.

Bischoff, P. H., 2005, “Reevaluation of Deflection Prediction for Concrete Beams Reinforced with Steel and Fiber Reinforced Polymer Bars,” Journal of Structural Engineering, ASCE, V. 131, No. 5, pp. 752-767. doi: 10.1061/(ASCE)0733-9445(2005)131:5(752)

Bischoff, P. H., and Gross, S. P., 2011, “Equivalent Moment of Inertia Based on Integration of Curvature,” Journal of Composites for Construction, ASCE, V. 15, No. 3, pp. 263-273. doi: 10.1061/(ASCE)CC.1943-5614.0000164

Branson, D. E., 1963, “Instantaneous and Time-Dependent Deflections of Simple and Continuous Reinforced Concrete Beams,” HPR Publication 7, Part 1, Alabama Highway Department Bureau of Public Roads, Montgomery, AL, pp. 1-78.

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

Brown, V., 1997, “Sustained Load Deflections in GFRP-Reinforced Concrete Beams,” Non-Metallic (FRP) Reinforcement for Concrete Structures (FRPRCS-3): Proceedings of the Third International Symposium on Nonmetallic (FRP) Reinforcement for Concrete Structures, Sapporo, Japan, pp. 495-502.

Gross, S. P.; Yost, J. R.; and Crawford, J., 2006, “Serviceability of High Strength Concrete Beams with Internal FRP Reinforcement under Sustained Load,” Proceedings of the Third International Conference on FRP Composites in Civil Engineering (CICE 2006), Miami, FL, pp. 203-206.

Hall, T., and Ghali, A., 2000, “Long-Term Deflection Prediction of Concrete Members Reinforced with Glass Fiber Reinforced Polymer Bars,” Canadian Journal of Civil Engineering, V. 27, No. 5, pp. 890-898. doi: 10.1139/l00-009

Miàs, C.; Torres, L.; Turon, A.; and Barris, C., 2013a, “Experimental Study of Immediate and Time-Dependent Deflections of GFRP Reinforced Concrete Beams,” Composite Structures, V. 96, pp. 279-285. doi: 10.1016/j.compstruct.2012.08.052

Miàs, C.; Torres, L.; Turon, A.; and Sharaky, I., 2013b, “Effect of Material Properties on Long-Term Deflection of GFRP Reinforced Concrete Beams,” Construction and Building Materials, V. 41, pp. 99-108. doi: 10.1016/j.conbuildmat.2012.11.055

Nanni, A.; DeLuca, A.; and Zadeh, H., 2014, Reinforced Concrete with FRP Bars: Mechanics and Design, CRC Press, Boca Raton, FL, 418 pp.

Vijay, P., and GangaRao, H., 1998, “Creep Behavior of Concrete Beams Reinforced with GFRP Bars,” Proceedings of the First International Conference on Durability of Composites for Construction (CDCC’98), Sherbrooke, QC, Canada, pp. 661-667.

Walkup, S. L., 2018, “Long-Term Deflections of Reinforced Concrete Beams Subject to Sustained Loads,” doctorate dissertation, Villanova University, Villanova, PA, 333 pp.

Walkup, S. L.; Musselman, E. S.; and Gross, S. P., 2017, “Effect of GFRP Compression Reinforcement on Long-Term Deflections,” 13th International Symposium on Fiber Reinforced Polymer Reinforcement for Concrete Structures, Anaheim, CA, 20 pp.

Wang, Z.; Goto, Y.; and Joh, O., 1997, “Bond Characteristics of FRP Rods and Effect on Long Term Deflection of Concrete Beams,” Non-Metallic (FRP) Reinforcement for Concrete Structures (FRPRCS-3): Proceedings of the Third International Symposium on Nonmetallic (FRP) Reinforcement for Concrete Structures, Sapporo, Japan, pp. 389-396.

Washa, G. W., 1947, “Plastic Flow of Thin Reinforced Concrete Slabs,” ACI Journal Proceedings, V. 44, No. 3, Mar., pp. 237-260.

Washa, G. W., and Fluck, P. G., 1952, “Effect of Compressive Reinforcement on the Plastic Flow of Reinforced Concrete Beams,” ACI Journal Proceedings, V. 49, No. 2, Feb., pp. 89-108.

Washa, G. W., and Fluck, P. G., 1956, “Effect of Compressive Reinforcement on the Plastic Flow of Reinforced Concrete Continuous Beams,” ACI Journal Proceedings, V. 52, No. 5, May, pp. 549-562.

Youssef, T.; El-Gamal, S.; and Benmokrane, B., 2009a, “Long-Term Deflection of GFRP-Reinforced Concrete Beams under Uniform Sustained Load,” 1st International/1st Engineering Mechanics and Materials Specialty Conference, St. John’s, NL, Canada, 9 pp.

Youssef, T.; El-Gamal, S.; El-Salakawy, E.; and Benmokrane, B., 2009b, “Deflection and Strain Variation of GFRP-Reinforced Concrete Beams after One Year of Continuous Loading,” Ninth International Symposium on Fiber Reinforced Polymer Reinforcement for Concrete Structures, Sydney, Australia, 4 pp.

Yu, W. W., and Winter, G., 1960, “Instantaneous and Long-Time Deflections of Reinforced Concrete Beams under Working Loads,” ACI Journal Proceedings, V. 57, No. 2, Feb., pp. 29-50.


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