Effect of the Hole Diameter Ratio (d/H) on the Web Crippling Capacity of Pultruded GFRP U-Channels Under Temperature and Loading Conditions
Abstract
1. Introduction
2. Experimental Study
2.1. Test Specimens

| U-ITF-24-00 | ![]() | U-ETF-24-00 | ![]() |
| U-ITF-200-00 | ![]() | U-ETF-200-00 | ![]() |
| U-ITF-250-00 | ![]() | U-ETF-250-00 | ![]() |
| U-ITF-300-00 | ![]() | U-ETF-300-00 | ![]() |
| U-ITF-24-32 | ![]() | U-ETF-24-32 | ![]() |
| U-ITF-200-32 | ![]() | U-ETF-200-32 | ![]() |
| U-ITF-250-32 | ![]() | U-ETF-250-32 | ![]() |
| U-ITF-300-32 | ![]() | U-ETF-300-32 | ![]() |
| U-ITF-24-50 | ![]() | U-ETF-24-50 | ![]() |
| U-ITF-200-50 | ![]() | U-ETF-200-50 | ![]() |
| U-ITF-250-50 | ![]() | U-ETF-250-50 | ![]() |
| U-ITF-300-50 | ![]() | U-ETF-300-50 | ![]() |
| U-ITF-24-70 | ![]() | U-ETF-24-70 | ![]() |
| U-ITF-200-70 | ![]() | U-ETF-200-70 | ![]() |
| U-ITF-250-70 | ![]() | U-ETF-250-70 | ![]() |
| U-ITF-300-70 | ![]() | U-ETF-300-70 | ![]() |
2.2. Loading Application
2.3. Dynamic Mechanics Analysis (DMA)
2.4. Thermal Characterization—TGA-DSC
2.5. FTIR Spectroscopy
2.6. SEM Imaging—Scanning Electron Microscopy
3. Results
3.1. Effect of High Temperatures on Specimens
3.2. Burn-Out Test of the Sample
3.3. Tensile Test Results
3.4. Microstructure Analysis
3.4.1. DMA



3.4.2. TGA-DSC

3.4.3. FTIR
3.4.4. SEM-EDS
3.5. Failures and Load–Displacement of Specimens
3.5.1. Specimens Subjected to Room Temperature and ETF Loading Conditions


3.5.2. Specimens Subject to 200 °C and ETF Loading Conditions

3.5.3. Specimens Subjected to 250 °C and ETF Loading Conditions

3.5.4. Specimens Subjected to 300 °C and ETF Loading Conditions

3.5.5. Specimens Subjected to Room Temperature and ITF Loading Conditions


3.5.6. Specimens Subjected to 200 °C and ITF Loading Conditions

3.5.7. Specimens Subjected to 250 °C and ITF Loading Conditions

3.5.8. Specimens Subjected to 300 °C and ITF Loading Conditions

3.5.9. Comparison of the Effects of Loading Conditions and Temperatures on Web Crippling Capacity
| Temperature (°C) | ITF Capacity Pu, ITF (kN) | ETF Capacity Pu, ETF (kN) | ITF/ETF Ratio |
|---|---|---|---|
| 24 | 36.44 | 18.17 | 2.01 |
| 200 | 32.67 | 15.06 | 2.17 |
| 250 | 26.83 | 12.79 | 2.10 |
| 300 | 20.49 | 10.19 | 2.01 |

3.5.10. Comparison of the Hole’s Sizes on Web Crippling Capacity

| Temperature (°C) | Loading Condition | Hole Diameter (d) | d/H Ratio | Ultimate Load (Pu) (kN) | Reduction Due to Hole (%) |
|---|---|---|---|---|---|
| 24 | ETF | 0 | — | 18.17 | 0.0 |
| 32 | 0.23 | 13.97 | 23.1 | ||
| 50 | 0.36 | 11.38 | 37.4 | ||
| 70 | 0.50 | 7.97 | 56.1 | ||
| ITF | 0 | — | 36.44 | 0.0 | |
| 32 | 0.23 | 27.38 | 24.8 | ||
| 50 | 0.36 | 22.66 | 37.8 | ||
| 70 | 0.50 | 20.11 | 44.8 | ||
| 200 | ETF | 0 | — | 15.06 | 0.0 |
| 32 | 0.23 | 12.69 | 15.7 | ||
| 50 | 0.36 | 10.25 | 31.9 | ||
| 70 | 0.50 | 7.00 | 53.5 | ||
| ITF | 0 | — | 32.67 | 0.0 | |
| 32 | 0.23 | 26.25 | 19.7 | ||
| 50 | 0.36 | 21.12 | 35.3 | ||
| 70 | 0.50 | 18.91 | 42.1 | ||
| 250 | ETF | 0 | — | 12.79 | 0.0 |
| 32 | 0.23 | 10.30 | 19.5 | ||
| 50 | 0.36 | 9.06 | 29.1 | ||
| 70 | 0.50 | 5.87 | 54.1 | ||
| ITF | 0 | — | 26.83 | 0.0 | |
| 32 | 0.23 | 21.45 | 20.1 | ||
| 50 | 0.36 | 18.56 | 30.8 | ||
| 70 | 0.50 | 14.29 | 46.7 | ||
| 300 | ETF | 0 | — | 10.19 | 0.0 |
| 32 | 0.23 | 8.46 | 17.0 | ||
| 50 | 0.36 | 6.13 | 39.8 | ||
| 70 | 0.50 | 4.46 | 56.2 | ||
| ITF | 0 | — | 20.49 | 0.0 | |
| 32 | 0.23 | 17.28 | 15.7 | ||
| 50 | 0.36 | 12.89 | 37.1 | ||
| 70 | 0.50 | 9.86 | 51.9 |
4. Prediction of Load Capacity
5. Conclusions
- The web crippling capacity of reference GFRP U pultrusion profiles for ITF and ETF loads decreases significantly as temperature increases. The decrease in capacity becomes more pronounced beyond 250 °C, and at 300 °C, the capacity drops to 44% of the original room temperature strength, nearly halving. This is explained by the shift in the damage mode from fiber-controlled local fracture to matrix-controlled global web crippling due to severe thermal degradation of the polymer matrix at critical temperatures.
- ITF specimens consistently demonstrated higher web-crushing capacities than ETF specimens across all temperature levels and hole sizes. ITF specimens achieved approximately twice the load-carrying capacity of ETF specimens on average, thanks to more favorable load distribution and delayed local buckling behavior.
- The presence of web openings has inevitably reduced the ultimate load-carrying capacity of the specimens. When the hole diameter (D) increased from 32 mm to 70 mm, the decrease in capacity gradually increased at rates ranging from 15.7% (ETF, 300 °C) to 56.2% (ETF, 300 °C) across all temperatures examined. This decreasing trend is more pronounced in ETF specimens, especially at large hole diameters. At the largest hole diameter of 70 mm, the capacity loss in ETF (56%) remained higher than the capacity loss in ITF (52%). This weakening behavior maintained its consistency at high temperatures as well, parallel to the increase in hole diameter.
- The proposed empirical equations successfully captured the combined effects of temperature, loading configuration, and hole diameter on the web crippling capacity. The inclusion of the temperature coefficient (ζ) and the hole diameter factor (Ω) improved the prediction accuracy compared to existing formulations.
- The comparison between experimental and predicted loads showed a good agreement, with experimental-to-predicted ratios ranging between 1.00 and 1.38 for all test conditions. The accuracy of the predicted model is better in the low-temperature ranges.
- Overall, the analytical expressions and experimental findings demonstrate that the proposed approach can be effectively used to estimate the web crippling capacity of pultruded GFRP U-channel sections under varying geometric and thermal conditions, offering a valuable tool for the design and safety assessment of composite structural elements exposed to elevated temperatures.
Author Contributions
Funding
Institutional Review Board Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
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| Element | U-ETF-24 (By Weight %) | U-ETF-200 (By Weight %) |
|---|---|---|
| C (Carbon) | 49.50 ± 0.60 | 41.83 ± 1.10 |
| O (Oxygen) | 34.53 ± 0.58 | 38.12 ± 1.04 |
| Al (Aluminum) | 2.41 ± 0.07 | 2.74 ± 0.13 |
| Si (Silicon) | 7.00 ± 0.12 | 7.81 ± 0.23 |
| Ca (Calcium) | 6.34 ± 0.12 | 9.50 ± 0.28 |
| Fe (Iron) | 0.23 ± 0.06 | N.A. |
| Temperature (°C) | Pu, ETF (kN) | ETF Normalized Capacity (Pu, ETF/ Pu, ETF, 24 °C) | Decrease Rate | Pu, ITF (kN) | ITF Normalized Capacity (Pu, ITF/ Pu, ITF, 24 °C) | Decrease Rate |
|---|---|---|---|---|---|---|
| 200 | 15.06 | 15.06/18.17 (0.83) | %17 | 32.67 | 32.67/36.44 (0.90) | %10 |
| 250 | 12.79 | 12.79/18.17 (0.70) | %30 | 26.83 | 26.83/36.44 (0.74) | %26 |
| 300 | 10.19 | 10.19/18.17 (0.56) | %44 | 20.49 | 20.49/36.44 (0.56) | %44 |
| ETF | Experimental Results | Predicted Values | Experimental/Predicted Values | ||||||||||
| T | 0 | 32 | 50 | 70 | 0 | 32 | 50 | 70 | 0 | 32 | 50 | 70 | |
| d | |||||||||||||
| 24 | 18.17 | 13.97 | 11.38 | 7.97 | 18.11 | 13.56 | 11.00 | 8.15 | 1.00 | 1.03 | 1.03 | 0.98 | |
| 200 | 15.06 | 12.69 | 10.25 | 7.00 | 15.05 | 11.27 | 9.14 | 6.77 | 1.00 | 1.13 | 1.12 | 1.03 | |
| 250 | 12.79 | 10.30 | 9.06 | 5.87 | 12.13 | 9.08 | 7.37 | 5.46 | 1.05 | 1.13 | 1.23 | 1.08 | |
| 300 | 10.19 | 8.46 | 6.13 | 4.46 | 8.31 | 6.22 | 5.05 | 3.74 | 1.23 | 1.36 | 1.21 | 1.19 | |
| ITF | Experimental Results | Predicted Values | Experimental/Predicted Values | ||||||||||
| T | 0 | 32 | 50 | 70 | 0 | 32 | 50 | 70 | 0 | 32 | 50 | 70 | |
| d | |||||||||||||
| 24 | 36.44 | 27.38 | 22.66 | 20.11 | 36.49 | 27.32 | 22.15 | 16.42 | 1.00 | 1.00 | 1.02 | 1.22 | |
| 200 | 32.67 | 26.25 | 21.12 | 18.91 | 30.32 | 22.70 | 18.41 | 13.65 | 1.08 | 1.16 | 1.15 | 1.39 | |
| 250 | 26.83 | 21.45 | 18.56 | 14.29 | 24.45 | 18.30 | 14.84 | 11.00 | 1.10 | 1.17 | 1.25 | 1.30 | |
| 300 | 20.49 | 17.28 | 12.89 | 9.86 | 16.75 | 12.54 | 10.17 | 7.54 | 1.22 | 1.38 | 1.27 | 1.31 | |
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Soumbourou, M.A.; Madenci, E.; Aksoylu, C.; Özkılıç, Y.O. Effect of the Hole Diameter Ratio (d/H) on the Web Crippling Capacity of Pultruded GFRP U-Channels Under Temperature and Loading Conditions. Polymers 2026, 18, 1002. https://doi.org/10.3390/polym18081002
Soumbourou MA, Madenci E, Aksoylu C, Özkılıç YO. Effect of the Hole Diameter Ratio (d/H) on the Web Crippling Capacity of Pultruded GFRP U-Channels Under Temperature and Loading Conditions. Polymers. 2026; 18(8):1002. https://doi.org/10.3390/polym18081002
Chicago/Turabian StyleSoumbourou, Mohamed Ahmed, Emrah Madenci, Ceyhun Aksoylu, and Yasin Onuralp Özkılıç. 2026. "Effect of the Hole Diameter Ratio (d/H) on the Web Crippling Capacity of Pultruded GFRP U-Channels Under Temperature and Loading Conditions" Polymers 18, no. 8: 1002. https://doi.org/10.3390/polym18081002
APA StyleSoumbourou, M. A., Madenci, E., Aksoylu, C., & Özkılıç, Y. O. (2026). Effect of the Hole Diameter Ratio (d/H) on the Web Crippling Capacity of Pultruded GFRP U-Channels Under Temperature and Loading Conditions. Polymers, 18(8), 1002. https://doi.org/10.3390/polym18081002

































