Technical Papers
Dec 23, 2017

Deflection of FRP Prestressed Concrete Beams

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Publication: Journal of Composites for Construction
Volume 22, Issue 2

Abstract

The lower elastic modulus of fiber-reinforced polymer (FRP) bars over steel rebar renders the postcracking deflection of FRP concrete beams critical under serviceability limit states. To predict the deflection of FRP prestressed concrete (PSC) beams, the American Concrete Institute (ACI) utilizes a semiempirical equation of effective moment of inertia (Ie), originally developed and calibrated for steel reinforced concrete beams, and applies a reduction factor to account for the low elastic modulus of FRP bars. In this paper, a mechanics-based relationship for Ie is developed using the moment-curvature behavior of FRP PSC sections. From this a beam deflection equation is derived for general loading conditions. The proposed equation is verified using experimental observations that cover various ratios of the cracked-to-gross moment of inertia (Icr/Ig). The comparative results reveal that the ACI equation unrealistically underestimates the deflection for low Icr/Ig ratios (<0.04), which is the case for lightly reinforced FRP PSC beams and one-way slabs. However, for higher Icr/Ig ratios (>0.08), for which the semiempirical ACI equation was originally calibrated, reasonable predictions are observed. The proposed equation, which offers an implicit flexibility formulation as opposed to the stiffness formulation adopted by ACI, provides more accurate predictions of deflection regardless of the Icr/Ig ratio.

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References

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Go to Journal of Composites for Construction
Journal of Composites for Construction
Volume 22Issue 2April 2018

History

Received: Dec 11, 2016
Accepted: Sep 19, 2017
Published online: Dec 23, 2017
Published in print: Apr 1, 2018
Discussion open until: May 23, 2018

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Authors

Affiliations

Shobeir Pirayeh Gar, Ph.D. [email protected]
P.E.
Senior Structural Engineer II, Houston Offshore Engineering, An Atkins Company (Member of the SNC Lavalin Group), 17220 Katy FWY, Suite 200, Houston, TX 77094; formerly, Graduate Assistant Researcher, Zachry Dept. of Civil Engineering, Texas A&M Univ., College Station, TX 77843-3136 (corresponding author). E-mail: [email protected]
John B. Mander
Inaugural Zachry Professor I, Zachry Dept. of Civil Engineering, Texas A&M Univ., College Station, TX 77843-3136.
Stefan Hurlebaus, M.ASCE
Professor, Zachry Dept. of Civil Engineering, Texas A&M Univ., College Station, TX 77843-3136; Research Scientist, Texas A&M Transportation Institute, Texas A&M Univ., College Station, TX 77843-3136.

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