Flexural Testing of Steel-, GFRP-, BFRP-, and Hybrid Reinforced Beams
Abstract
1. Introduction
1.1. Research Significance
1.2. Research Objectives
- Compare the flexural strength of GFRP, BFRP, and hybrid reinforced beams to that of steel-reinforced beams;
- Analyze the deflection characteristics of each type of beam, focusing on the ductility behavior;
- Assess the cracking patterns and the overall failure modes to determine the suitability of GFRP, BFRP, and hybrid reinforcements for different structural applications;
- Examine whether hybrid reinforcement systems, such as Steel/GFRP, Steel/BFRP, and GFRP/BFRP combinations, offer better alternatives to traditional steel reinforcement, particularly in terms of ductility.
2. The Experimental Investigation: Materials and Methodology
- Beams reinforced with steel (control group);
- Beams reinforced with GFRP;
- Beams reinforced with BFRP;
- Beams reinforced with a hybrid of steel and GFRP;
- Beams reinforced with a hybrid of steel and BFRP;
- Beams reinforced with a hybrid of GFRP and BFRP.
- The flexural strength based on the nominal moment and load capacity;
- The deflection profiles to assess ductility;
- The crack propagation and failure modes of each reinforcement type;
- The ductility of beams compared to that of steel-reinforced beams.
- A total of 350 kg/m3 Ordinary Portland Cement;
- A w/c ratio of about 0.4;
- A total of 615 kg/m3 fine aggregates (sand);
- A total of 1100 kg/m3 coarse aggregate (1″, 2‴ equal portions);
- Super plasticizer Skiament C494 Type F.
3. The Analytical Investigation
3.1. Nominal Moment
3.2. Nominal Shear
3.3. Cracking Moment
3.4. Results of the Analytical Investigation
4. Experimental Investigation Results and Discussion
4.1. Cracking Moment and Load–Deflection Relations
4.2. Ductility
4.3. Failure Modes
4.4. Investigation Outcomes
- Load Capacity: GFRP- and BFRP-reinforced beams generally exhibited higher ultimate load capacity compared to steel-reinforced beams; 8% and 12%, respectively. Hybrid GFRP–Steel and BFRP–Steel-reinforced beams also show a higher load capacity compared to steel-reinforced beams; 8% and 17%, respectively. Hybrid GFRP–BFRP-reinforced beams do not improve the load capacity due to rupture of the BFRP bars.
- Deflection: GFRP- and BFRP-reinforced beams show significantly lower deflection at failure compared to steel-reinforced beams (62% and 42% of the steel-reinforced beams, respectively). Hybrid GFRP–Steel and BFRP–Steel-reinforced beams improve this behavior, where they show 90% and 48% of the steel-reinforced beams’ deflection.
- Failure Modes: GFRP-reinforced beams failed due to GFRP rupture, while BFRP beams experienced debonding or concrete crushing before rupture. Hybrid GFRP–Steel and BFRP–Steel-reinforced beams first exhibited steel yielding, followed by GFRP rupture for GFRP-reinforced beams or concrete crushing for BFRP-reinforced beams. All failure modes agree with those predicted analytically.
- Ductility: GFRP- and BFRP-reinforced beams exhibited lower ductility compared to steel-reinforced beams, as evidenced by their ductility indices; the ductility indices of steel-reinforced, GFRP-reinforced, and BFRP-reinforced beams are 7.4, 4.4, and 3.1, respectively. The ductility improves significantly for hybrid systems of GFRP–Steel and BFRP–Steel-reinforced beams; ductility indices are 8.0 and 4.7, respectively.
- Energy Absorption: The area under the load–deflection curve indicates energy absorption capacity and resistance to failure when subject to repeated or cyclic loading. Steel-reinforced beams show the highest area and a superior behavior to all other reinforced beams. The lowest areas are recorded for the GFRP-reinforced beams and the BFRP-reinforced beams (41% and 23% compared to steel-reinforced beams). The hybrid GFRP–Steel and BFRP–Steel reinforcement systems improve this behavior showing 64% and 41%, respectively, of the area under the load–deflection curve recorded for steel-reinforced beams.
- Anaytical and Experimental Failure Loads: Table 4 shows some discrepancies between the calculated and experimental failure loads for some beams. These differences can be explained by considering a few key mechanisms. The first is the material property variability, where analytical predictions are based on average values of the mechanical properties, whereas in practice, variability in material quality can affect actual performance. For instance, premature rupture or debonding in BFRP-reinforced beams may reduce the load-carrying capacity relative to the calculated values. The analytical model also assumes ideal bonding between the reinforcement and concrete. However, the experimental results, particularly for BFRP-reinforced beams, show signs of premature debonding, which may reduce the load capacity compared to the prediction. Furthermore, in some hybrid systems, load redistribution between reinforcement types may lead to failure modes that are not fully captured by conventional section analysis. For example, in the GFRP–BFRP hybrid beams, rupture of the BFRP bars occurred before reaching the predicted flexural capacity, thus lowering the actual failure load. Finally, the current ACI 440 guidelines may not fully capture the full behavior, interaction effects, or localized failure mechanisms seen in hybrid or BFRP-only systems. Overall, these discrepancies highlight the complexity of FRP and hybrid reinforcement behavior, reinforcing the need for further experimental validation and refinement of analytical models.
5. Conclusions
- Special consideration must be adopted in designing beams reinforced with GFRP or BFRP bars.
- A longer development length is required when using BFRP bars in reinforcing beams. This is not essentially required for GFRP-reinforced beams.
- Hybrid GFRP–Steel-reinforced beams showed significantly better ductility and increased toughness compared to GFRP-reinforced beams. Hybrid BFRP–Steel-reinforced beams also showed improved ductility relative to BFRP-reinforced beams, though not exceeding that of steel-only beams.
Author Contributions
Funding
Institutional Review Board Statement
Data Availability Statement
Conflicts of Interest
References
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Beam | Bottom Reinf | Top Reinf | Stirrups | Length (m) | Dim (mm) | ||
---|---|---|---|---|---|---|---|
B01-C B02-C | 3 No. 12 | Steel | 2 No. 10 | Steel | No. 8@100 mm | 2.0 | 200 × 400 |
B03-GF B04-GF | 3 No. 12 | GFRP | 2 No. 10 | Steel | No. 8@100 mm | 2.0 | 200 × 400 |
B05-BF B06-BF | 3 No. 12 | BFRP | 2 No. 10 | Steel | No. 8@100 mm | 2.0 | 200 × 400 |
B07-GF-ST B08-GF-BF | 2 No. 12 1 No. 12 | Steel GFRP | 2 No. 10 | Steel | No. 8@100 mm | 2.0 | 200 × 400 |
B09-BF-ST B10-BF-ST | 2 No. 12 1 No. 12 | Steel BFRP | 2 No. 10 | Steel | No. 8@100 mm | 2.0 | 200 × 400 |
B11-GF-BF B12-GF-BF | 2 No. 12 1 No. 12 | GFRP BFRP | 2 No. 10 | Steel | No. 8@100 mm | 2.0 | 200 × 400 |
Material | Property | Value |
---|---|---|
Concrete | 28d compressive strength: fc/ | 25 MPa |
Crushing strains εcu | 0.003 | |
Initial elastic modulus Ec = 4700 (fc/)1/2 | 23.5 GPa | |
α1 and β1 | 0.85, 0.85 | |
Steel bars | Yield stress Fy-s—reinforcement bars Yield stress Fy-v—stirrups | 465 MPa 360 MPa |
Elastic modulus Es | 200 GPa | |
Yield strain εy-s—reinforcement bars Yield strain εy-v—stirrups | 0.0023 0.0018 | |
GFRP bars | Tensile strength Fu-GFRP | 483–690 MPa |
Elastic modulus EGFRP | 35–61 GPa | |
Rupture strain εu-GFRP | 0.01–0.031 | |
BFRP bars | Tensile strength Fu-BFRP | 600–1700 |
Elastic modulus EBFRP | 50–90 GPa | |
Rupture strain εu-BFRP | 0.018–0.032 |
Beam | Nominal Moment Mn (kN·m) | Expected Failure Load Pu-M (kN) | Failure Mode Analytically Predicted | Nominal Shear Vn (kN) | Expected Failure Load Pu-V (kN) |
---|---|---|---|---|---|
B01-C B02-C | 55.5 | 120 | Steel yield—Conc crushing | 197 | 393 |
B03-GF B04-GF | 80.9 | 175 | GFRP rupture—Conc crushing | 154 | 308 |
B05-BF B06-BF | 92.9 | 201 | Conc crushing | 157 | 314 |
B07-GF-ST B08-GF-ST | 62.4 | 135 | Steel yield—GFRP rupture | 197 | 393 |
B09-BF-ST B10-BF-ST | 76.7 | 166 | Steel yield—Conc crushing | 197 | 393 |
B11-GF-BF B12-GF-BF | 92.1 | 199 | GFRP rupture—Conc crushing | 197 | 393 |
Beam | Calc. Failure Load (kN) | Expected Failure Mode | Experimental Failure Load (kN) | Deflection at Failure (mm) | Observed Failure Mode | Capacity Increase% | ||
---|---|---|---|---|---|---|---|---|
0B01-C B02-C | 120 | Steel yield—Conc crushing | 152.2 149.5 | 150.8 ± 1.9 | 69.8 26.5 | 48.2 ± 30.6 | Steel yield—Conc crushing | -- |
B03-GF B04-GF | 175 | GFRP rupture—Conc crushing | 156.4 170.6 | 163.5 ± 10.1 | 26.6 33.2 | 29.9 ± 4.7 | GFRP rupture—Conc crushing | 8% |
B05-BF B06-BF | 201 | Conc crushing | 178.2 159.5 | 168.9 ± 13.2 | 20.4 19.9 | 20.2 ± 0.4 | BFRP debond—Conc crushing | 12% |
B07-GF-ST B08-GF-ST | 135 | Steel yield—GFRP rupture | 168.7 156.4 | 162.6 ± 8.7 | 36.7 49.5 | 43.1 ± 9.1 | Steel yield—GFRP rupture | 8% |
B09-BF-ST B10-BF-ST | 166 | Steel yield—Conc crushing | 176.3 177.5 | 179.9 ± 0.85 | 22.3 23.6 | 23.0 ± 0.9 | Steel yield—Conc crushing | 17% |
B11-GF-BF B12-GF-BF | 199 | GFRP rupture—Conc crushing | 135.4 153.7 | 144.6 ± 12.9 | 23.8 37.5 | 30.7 ± 9.7 | GFRP rupture—Conc crushing | −4% |
Beam | Δ1 (mm) | Δ2 (mm) | DI = Δ1/Δ2 | A (kN·m) | A/Acontrol | |||
---|---|---|---|---|---|---|---|---|
0B01-C B02-C | 70 26.5 | 48.3 ± 30.8 | 8.0 5.1 | 6.6 ± 2.1 | 7.4 | 11.03 3.29 | 7.2 ± 5.5 | 1.00 |
B03-GF B04-GF | 26.7 33.1 | 29.9 ± 4.5 | 6 7.6 | 6.8 ± 1.1 | 4.4 | 2.52 3.37 | 2.9 ± 0.6 | 0.41 |
B05-BF B06-BF | 20.5 20 | 20.3 ± 0.4 | 4.5 8.4 | 6.5 ± 2.8 | 3.1 | 2.11 1.22 | 1.7 ± 0.63 | 0.23 |
B07-GF-ST B08-GF-ST | 36.8 49.8 | 43.3 ± 9.2 | 4.6 6.2 | 5.4 ± 1.1 | 8.0 | 3.29 5.92 | 4.6 ± 1.9 | 0.64 |
B09-BF-ST B10-BF-ST | 22.4 23.8 | 23.1 ± 1.0 | 3.7 6.2 | 5.0 ± 1.8 | 4.7 | 2.91 3.02 | 2.9 ± 0.1 | 0.41 |
B11-GF-BF B12-GF-BF | 23.8 23.7 | 23.8 ± 0.07 | 5.1 6.5 | 5.8 ± 1.0 | 4.1 | 2.16 4.38 | 3.3 ± 1.6 | 0.45 |
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Elbawab, Y.; Elbawab, Y.; El Zoughby, Z.; ElKadi, O.; AbouZeid, M.; Sayed-Ahmed, E. Flexural Testing of Steel-, GFRP-, BFRP-, and Hybrid Reinforced Beams. Polymers 2025, 17, 2027. https://doi.org/10.3390/polym17152027
Elbawab Y, Elbawab Y, El Zoughby Z, ElKadi O, AbouZeid M, Sayed-Ahmed E. Flexural Testing of Steel-, GFRP-, BFRP-, and Hybrid Reinforced Beams. Polymers. 2025; 17(15):2027. https://doi.org/10.3390/polym17152027
Chicago/Turabian StyleElbawab, Yazeed, Youssef Elbawab, Zeina El Zoughby, Omar ElKadi, Mohamed AbouZeid, and Ezzeldin Sayed-Ahmed. 2025. "Flexural Testing of Steel-, GFRP-, BFRP-, and Hybrid Reinforced Beams" Polymers 17, no. 15: 2027. https://doi.org/10.3390/polym17152027
APA StyleElbawab, Y., Elbawab, Y., El Zoughby, Z., ElKadi, O., AbouZeid, M., & Sayed-Ahmed, E. (2025). Flexural Testing of Steel-, GFRP-, BFRP-, and Hybrid Reinforced Beams. Polymers, 17(15), 2027. https://doi.org/10.3390/polym17152027