Combined Flexural and Shear Strengthening of RC T-Beams with FRP and TRM: Experimental Study and Parametric Finite Element Analyses
Abstract
:1. Introduction
2. Materials and Methods
2.1. Specimens and Set-Up
2.2. Materials
2.3. Retrofit Schemes
3. Results
3.1. General Experimental Results
3.2. Observed Failure Mechanisms
3.3. Interaction between Flexure and the Shear Capacity
3.4. Effect of Shear Span to Depth Ratio
3.5. Effect of Transverse Steel Reinforcement Ratio
3.6. Effect of Composite Shear Retrofit Amount
3.7. Effectiveness of TRM Compared to FRP
4. Modelling
4.1. Analysis Method and Element Discretisation
4.2. Material Models
4.3. Model Validation
4.4. Parametric Study
4.4.1. Effect of Concrete Strength
4.4.2. Effect of Shear Span
4.4.3. Effect of Steel Shear Reinforcement
5. Conclusions
- The effect of flexural retrofitting on the shear capacity of a non-shear-strengthened RC beam was found to be low, but present due to the increase in the neutral axis depth of the retrofitted beam. For specimens with combined retrofitting, the amount of longitudinal FRP sheets was not found to affect the shear capacity, as the effect of the neutral axis depth change was counteracted by an increased deflection control.
- The effectiveness of shear strengthening was found to be significantly higher for specimens with increased shear span-to-depth ratio, echoing observations from previous studies.
- For a reduced steel shear reinforcement, the effectiveness of the FRP retrofit was found to be less significant, albeit the magnitude of the strength increase was generally low.
- For TRM-strengthened beams, the effect of doubling the retrofit material was found to have a proportional effect on the strength and stiffness of the specimens, where however the specimen with double-layered application suffered a shear failure instead of the flexural failure observed for the single layer application. For the FRP-strengthened specimens, the increase in strength was significantly more pronounced for the increased retrofit amount.
- The effectiveness of TRM-strengthened specimens was found to be higher than that of FRP-strengthened specimens, despite lower mechanical strengthening ratios, due to the observed steeper crack pattern activating both directions of the orthogonal TRM fibre mesh and the applied anchorage delaying failure in the TRM-strengthened specimens.
- The FE models indicate a good match to experimental results and the parametric FE study confirmed the experimental observations. Generally higher strength increases were obtained for higher concrete strength, higher steel shear reinforcement and higher shear span-to-depth ratios. The detailed analysis of the FE models indicates a significant complexity of the interactions between the studied parameters, leading to no straightforward trends in the retrofit effectiveness and the need for further research on this topic.
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Appendix A
Appendix A.1. Concrete in Compression
Appendix A.2. Concrete in Tension
Appendix A.3. Further Parameters of Importance
Parameter | E | fb0/fc0 | Kc | ψ | µ | V |
---|---|---|---|---|---|---|
Value | 0.1 | 1.16 | 2/3 | 36° | 0 | 0.2 |
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Series | Reinforcement Detailing | Shear Span |
---|---|---|
Series 1: HS-LA | ρw = 0.38% | a/d = 2.9 |
Series 2: HS-HA | ρw = 0.38% | a/d = 3.6 |
Series 3: LS-LA | ρw = 0.19% | a/d = 2.9 |
Material | Fibre Weight (g/m2) | tf (mm) | Ef (GPa) |
---|---|---|---|
CFRP sheet | 400 | 0.223 | 195 |
CTRM mesh | 80 (each direction) | 0.044 (each direction) | 195 |
Beam ID | fcu (MPa) | C.O.V (%) | ρw (%) | a/d | Material | Shear Retrofit | ρfw | ffdd,e,U (MPa) | ωfw |
---|---|---|---|---|---|---|---|---|---|
Series 1: HS-LA | |||||||||
S1-C | 30.7 | 8.6% | 0.38% | 2.9 | none | none | / | / | / |
S1-FRP1s | 30.1 | 7.1% | FRP | strips | 0.13% | 665.0 | 0.6 | ||
S1-FRP1c | 25.0 | 7.0% | FRP | cont. | 0.45% | 380.0 | 1.1 | ||
S1-FRP2c | 24.8 | 2.0% | FRP | cont. | 0.45% | 380.0 | 1.1 | ||
S1-TRM1c | 29.0 | 17.6% | TRM | cont. | 0.09% | 844.5 | 0.5 | ||
S1-TRM2c | 25.0 | 8.4% | TRM | cont. | 0.18% | 844.5 | 1.0 | ||
Series 2: HS-HA | |||||||||
S2-C | 20.4 | 4.9% | 0.38% | 3.6 | none | none | / | / | / |
S2-FRP0 | 19.6 | 8.9% | FRP | none | / | / | / | ||
S2-FRP1c | 28.1 | 1.6% | FRP | cont. | 0.45% | 450.3 | 1.3 | ||
Series 3: LS-LA | |||||||||
S3-C | 23.3 | 8.4% | 0.19% | 2.9 | none | none | / | / | / |
S3-FRP1s | 24.2 | 10.9% | FRP | strips | 0.14% | 647.4 | 1.2 | ||
S3-FRP2s | 26.7 | 8.7% | FRP | strips | 0.26% | 597.8 | 2.1 |
Series | Specimens | ||
---|---|---|---|
S1 FRP | S1-FRP1s ρfw = 0.13%; ωfw = 0.6 | S1-FRP1c ρfw = 0.45%; ωfw = 1.1 ρfl = 0.12% | S1-FRP2c ρfw = 0.45%; ωfw = 1.1 ρfl = 0.25% |
S1 TRM | S1-TRM1c ρfw = 0.09%; ωfw = 0.5 | S1-TRM2c ρfw = 0.18%; ωfw = 1.0 | |
S2 | S2-FRP0 ρfw = 0.0%; ωfw = 0.0 | S2-FRP1c ρfw = 0.45%; ωfw = 1.3 | |
S3 | S3-FRP1s ρfw = 0.14%; ωfw = 1.2 | S3-FRP2s ρfw = 0.26%; ωfw = 2.1 |
Beam ID | Vmax (kN) | ΔVmax (%) | δmax (mm) | Ki (kN/mm) | ΔKi (%) | Crack Angle (°) |
---|---|---|---|---|---|---|
Series 1: HS-LA | ||||||
S1-C | 34.5 * | / | 13.2 | 5.5 | / | 90 |
S1-FRP1s | 38.3 | 10.8% | 9.8 | 5.7 | 5% | 19 |
S1-FRP1c | 36.8 | 6.6% | 11.2 | 5.4 | −2% | 20 |
S1-FRP2c | 37.0 | 7.0% | 8.3 | 6.2 | 14% | 21 |
S1-TRM1c | 40.5 * | 17.4% | 13.4 | 6.9 | 27% | 90 |
S1-TRM2c | 46.2 | 33.7% | 15.4 | 7.9 | 45% | 37 |
Series 2: HS-HA | ||||||
S2-C | 19.9 | / | 8.5 | 3.6 | / | 32 |
S2-FRP0 | 21.4 | 7.5% | 9.1 | 3.6 | 1% | 29/34 |
S2-FRP1c | 28.7 | 44.2% | 11.5 | 4.5 | 25% | 39 |
Series 3: LS-LA | ||||||
S3-C | 18.4 | / | 5.4 | 4.3 | / | 27 |
S3-FRP1s | 19.4 | 5.4% | 4.4 | 5.1 | 19% | 29 |
S3-FRP2s | 24.2 | 31.3% | 7.1 | 4.2 | −3% | 33 |
Beam ID | Vnum (kN) | ΔVnum (%) |
---|---|---|
Series 1: HS-LA | ||
S1-C | 35.1 | +1.6% |
S1-FRP1s | 37.7 | −1.4% |
Series 3: LS-LA | ||
S3-C | 18.3 | −0.3% |
S3-FRP2s | 23.2 | −4.0% |
Beam ID | fcu (MPa) | ρw (%) | a/d | ρfw (%) |
---|---|---|---|---|
Effect of concrete | ||||
C15-RF4-SP1 | 15 | 0.4% | 2.9 | 0.1 or 0.2% |
C20-RF4-SP1 | 20 | 0.4% | 2.9 | 0.1 or 0.2% |
C25-RF4-SP1 | 25 | 0.4% | 2.9 | 0.1 or 0.2% |
Effect of shear span | ||||
C25-RF4-SP1 | 25 | 0.4% | 2.9 | 0.1 or 0.2% |
C25-RF4-SP2 | 25 | 0.4% | 3.3 | 0.1 or 0.2% |
C25-RF4-SP3 | 25 | 0.4% | 3.6 | 0.1 or 0.2% |
Effect of shear reinforcement | ||||
C25-RF2-SP1 | 25 | 0.2% | 2.9 | 0.1 or 0.2% |
C25-RF3-SP1 | 25 | 0.3% | 2.9 | 0.1 or 0.2% |
C25-RF4-SP1 | 25 | 0.4% | 2.9 | 0.1 or 0.2% |
Beam ID | Vnum | ΔVnum | δmax | σst | σFRP |
---|---|---|---|---|---|
(kN) | (%) | (mm) | (MPa) | (MPa) | |
Effect of concrete | |||||
C15-RF4-SP1 | 26.5 | 10.0 | 342.7 | ||
C15-RF4-SP1-FRP1 | 25.5 | −4.0% | 5.7 | 282.8 | 637.4 |
C15-RF4-SP1-FRP2 | 26.4 | −0.7% | 6.8 | 373.4 | 1250.1 |
C20-RF4-SP1 | 30.1 | 8.1 | 312.6 | ||
C20-RF4-SP1-FRP1 | 28.0 | −6.8% | 5.3 | 309.6 | 590.6 |
C20-RF4-SP1-FRP2 | 29.2 | −3.0% | 5.5 | 405.0 | 1213.3 |
C25-RF4-SP1 | 30.7 | 9.0 | 342.7 | ||
C25-RF4-SP1-FRP1 | 32.4 | +5.4% | 7.2 | 331.7 | 745.0 |
C25-RF4-SP1-FRP2 | 34.3 | 11.6% | 7.1 | 401.7 | 1677.6 |
Effect of shear span | |||||
C25-RF4-SP1 | 30.7 | 9.0 | 342.7 | ||
C25-RF4-SP1-FRP1 | 32.4 | +5.4% | 7.2 | 331.7 | 745.0 |
C25-RF4-SP1-FRP2 | 34.3 | +11.6% | 7.1 | 401.7 | 1677.6 |
C25-RF4-SP2 | 27.7 | 10.2 | 254.3 | ||
C25-RF4-SP2-FRP1 | 33.1 | +19.6% | 9.6 | 346.0 | 608.2 |
C25-RF4-SP2-FRP2 | 32.5 | +17.2% | 7.8 | 407.4 | 2197.0 |
C25-RF4-SP3 | 25.7 | 10.1 | 243.8 | ||
C25-RF4-SP3-FRP1 | 30.9 | +20.2% | 9.2 | 296.4 | 620.3 |
C25-RF4-SP3-FRP2 | 28.8 | +11.9% | 8.1 | 402.0 | 1694.9 |
Effect of shear reinforcement | |||||
C25-RF2-SP1 | 27.5 | 6.2 | 326.6 | ||
C25-RF2-SP1-FRP1 | 29.9 | +8.7% | 5.7 | 382.8 | 701.1 |
C25-RF2-SP1-FRP2 | 30.2 | +9.8% | 6.1 | 403.4 | 1247.3 |
C25-RF3-SP1 | 30.5 | 7.9 | 328.9 | 0.0 | |
C25-RF3-SP1-FRP1 | 34.6 | +13.6% | 7.4 | 380.5 | 677.8 |
C25-RF3-SP1-FRP2 | 33.6 | +10.4% | 7.0 | 413.3 | 1188.1 |
C25-RF4-SP1 | 30.7 | 9.0 | 342.7 | ||
C25-RF4-SP1-FRP1 | 32.4 | +5.4% | 7.2 | 331.7 | 745.0 |
C25-RF4-SP1-FRP2 | 34.3 | +11.6% | 7.1 | 401.7 | 1677.6 |
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Pohoryles, D.A.; Melo, J.; Rossetto, T. Combined Flexural and Shear Strengthening of RC T-Beams with FRP and TRM: Experimental Study and Parametric Finite Element Analyses. Buildings 2021, 11, 520. https://doi.org/10.3390/buildings11110520
Pohoryles DA, Melo J, Rossetto T. Combined Flexural and Shear Strengthening of RC T-Beams with FRP and TRM: Experimental Study and Parametric Finite Element Analyses. Buildings. 2021; 11(11):520. https://doi.org/10.3390/buildings11110520
Chicago/Turabian StylePohoryles, Daniel A., Jose Melo, and Tiziana Rossetto. 2021. "Combined Flexural and Shear Strengthening of RC T-Beams with FRP and TRM: Experimental Study and Parametric Finite Element Analyses" Buildings 11, no. 11: 520. https://doi.org/10.3390/buildings11110520