American Society of Civil Engineers

Deflection Prediction of Steel and FRP-Reinforced Concrete-Filled FRP Tube Beams

by Hamdy M. Mohamed, M.ASCE, (Postdoctoral Fellow, Dept. of Civil Engineering, Univ. of Sherbrooke, Sherbrooke, Quebec J1K 2R1, Canada. E-mail: and Radhouane Masmoudi, (corresponding author), (Professor, Dept. of Civil Engineering, Univ. of Sherbrooke, Sherbrooke, Quebec J1K 2R1, Canada E-mail:

Journal of Composites for Construction, Vol. 15, No. 3, May/June 2011, pp. 462-472, (doi:

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Document type: Journal Paper
Abstract: This paper presents the results of experimental and theoretical investigations that study the flexural behavior of reinforced concrete-filled fiber-reinforced polymer (FRP) tubes (RCFFTs) beams. The experimental program consists of 10 circular beams [6 RCFFT and 4 control reinforced concrete (RC) beams] with a total length of 2,000 mm, tested under four-point bending load. The experimental results were used to review and verify the applicability of various North American code provisions and some available equations in the literature to predict deflection of RCFFT beams. The measured deflections and the experimental values of the effective moment of inertia were analyzed and compared with those predicted using available models. The results of the analysis indicated that the behavior of steel and FRP-RCFFT beams under the flexural load was significantly different than that of steel and FRP-RC members. This is attributed to the confining effect of the FRP tubes and their axial contribution. This confining behavior in turn enhanced the overall flexural behavior and improved the tension stiffening of RCFFT beams. For that, the predicted tension stiffening of steel and FRP-RCFFT beams using the conventional equations (steel or FRP-RC member) underestimates the flexural response; therefore, the predicted deflections are overestimated. Based on the analysis of the test results, the Branson’s equation for the effective moment of inertia of RC structures is modified, and new equations are developed to accurately predict the deflection of concrete-filled FRP tube (CFFT) beams reinforced with steel or FRP bars.

ASCE Subject Headings:
Concrete beams
Fiber reinforced polymer

Author Keywords:
Concrete beams
Fiber-reinforced polymers (FRPs) bars
Effective moment of inertia confinement
FRP tube