Machine Learning Predictions of the Flexural Response of Low-Strength Reinforced Concrete Beams with Various Longitudinal Reinforcement Configurations
Abstract
1. Introduction
2. Materials and Methods
2.1. Fabrication of Low-Strength Concrete and Reinforced Concrete Beams
2.2. Three-Point Bending Test Method
2.3. Machine Learning Analysis
2.4. Evaluation Criteria for Machine Learning Analysis
3. Experiments and ML Analysis Results and Discussion
- F10L3L-1: Specimen 1 with low concrete compressive strength, reinforced in the tensile zone with three Ø10 mm longitudinal bars (four stirrups, Ø8 mm).
- L3L-1: Specimen 1 with low concrete compressive strength, reinforced in the tensile zone with three Ø12 mm longitudinal bars (four stirrups, Ø8 mm).
- L2L-1: Specimen 1 with low concrete compressive strength, reinforced in the tensile zone with two Ø12 mm longitudinal bars (four stirrups, Ø8 mm).
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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| Specimen No. | 7-Day Cube Strength (MPa) | 28-Day Cube Strength (MPa) | 28-Day Cylinder Strength (MPa) |
|---|---|---|---|
| L 1 | 9.8 | 15.1 | 12.1 |
| L 2 | 10.5 | 16.2 | 12.9 |
| L 3 | 9.2 | 14.2 | 11.3 |
| Parameter | Value | Notes |
|---|---|---|
| Target compressive strength (cube) | 15 MPa | At 28 days |
| Water–cement ratio (w/c) | 0.70 | Typical range for low-strength concrete: 0.65–0.75 |
| Cement content | 260 kg/m3 | CEM I 42.5R or equivalent |
| Water content | 182 L/m3 | w/c = 0.70 |
| Maximum aggregate size | 16 mm | Common for RC beams |
| Fine aggregate (0–4 mm, sand) | 780 kg/m3 | Saturated Surface Dry condition |
| Coarse aggregate (4–16 mm) | 1050 kg/m3 | Saturated Surface Dry condition |
| Entrapped air (approx.) | 1–2% | Non air-entrained concrete |
| (Optional) Plasticizer | 0–0.5% of cement weight | To improve workability without increasing w/c |
| ML Regression Model No. | ML Regression Model Name | ML Model Name Abbreviation |
|---|---|---|
| 1 | Gradient Boosting Regressor | gbr |
| 2 | K Neighbors Regressor | knn |
| 3 | Ada Boost Regressor | ada |
| 4 | Random Forest Regressor | rf |
| 5 | Light Gradient Boosting Machine | lightgbm |
| 6 | Extra Trees Regressor | et |
| 7 | Decision Tree Regressor | dt |
| 8 | Lasso List Angle Regressor | llar |
| 9 | Ridge Regression | ridge |
| 10 | Bayesian Ridge | br |
| 11 | Orthogonal Matching Pursuit | omp |
| 12 | Elastic Net | en |
| 13 | Least Angle Regression | lar |
| 14 | Lasso Regression | lasso |
| 15 | Linear Regression | lr |
| 16 | Huber Regression | huber |
| 17 | Passive Aggressive Regressor | par |
| 18 | Dummy Regressor | dummy |
| Series | Beam No. | RC Beam Failure Behavior | Failure Load, Fexp (kN) | Maximum Mid Span Deflection, Δexp (mm) | Failure Moment, Mexp (kN.m) |
|---|---|---|---|---|---|
| F10L3L | F10L3L-1 | SC | 47.5 | 2.4 | 21.4 |
| F10L3L-2 | SC | 62.1 | 3.1 | 27.9 | |
| F10L3L-3 | SC | 46.8 | 2.0 | 21.1 | |
| Average | F10L3L-A | SC | 52.1 | 2.5 | 23.5 |
| L2L | L2L-1 | SC | 46.1 | 2.4 | 20.8 |
| L2L-2 | SC | 48.5 | 3.8 | 21.8 | |
| L2L-3 | SC | 49.7 | 3.1 | 22.4 | |
| Average | L2L-A | SC | 48.1 | 3.1 | 21.7 |
| L3L | L3L-1 | SC | 57.2 | 2.2 | 25.7 |
| L3L-2 | SC | 59.7 | 6.2 | 26.9 | |
| L3L-3 | SC | 56.1 | 2.1 | 25.2 | |
| Average | L3L-A | SC | 57.7 | 3.5 | 25.9 |
| Feature | Type | Cmin (MPa) | Cmax (MPa) | Ave |
|---|---|---|---|---|
| fc′ (MPa) | Input | 14.2 | 16.2 | 15.2 |
| fy (MPa) | Input | 420 | 420 | 420 |
| b (mm) | Input | 150 | 150 | 150 |
| h (mm) | Input | 200 | 200 | 200 |
| d (mm) | Input | 162 | 162 | 162 |
| L (mm) | Input | 1100 | 1100 | 1100 |
| ⍴b (%) | Input | 0.887 | 1.331 | 1.047 |
| F (kN) | Input | 46.1 | 62.1 | 54.1 |
| Δ (mm) | Output | 2 | 6.2 | 4.1 |
| # | Beam Code | Method | Model | MAE | MSE | RMSE | R2 | RMSLE | MAPE | TT (s) |
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | L2L1 | lightgbm | Light Gradient Boosting Machine | 0.31 | 0.19 | 0.42 | 0.89 | 0.16 | 39.72 | 0.08 |
| 2 | L2L2 | knn | K Neighbors Regressor | 0.21 | 0.11 | 0.32 | 0.90 | 0.08 | 0.13 | 0.01 |
| 3 | L2L3 | knn | K Neighbors Regressor | 0.08 | 0.05 | 0.17 | 0.94 | 0.05 | 0.05 | 0.01 |
| 4 | L3L1 | knn | K Neighbors Regressor | 0.36 | 0.34 | 0.56 | 0.74 | 0.17 | 0.28 | 0.01 |
| 5 | L3L2 | lightgbm | Light Gradient Boosting Machine | 0.77 | 15.97 | 12.58 | 0.84 | 0.16 | 0.18 | 0.06 |
| 6 | L3L3 | ada | AdaBoost Regressor | 16.25 | 48.38 | 21.80 | 0.64 | 0.35 | 0.57 | 0.01 |
| 7 | F10L3L1 | ada | AdaBoost Regressor | 0.37 | 0.24 | 0.47 | 0.70 | 0.13 | 0.38 | 0.01 |
| 8 | F10L3L2 | knn | K Neighbors Regressor | 0.15 | 0.08 | 0.26 | 0.82 | 0.07 | 0.10 | 0.01 |
| 9 | F10L3L3 | knn | K Neighbors Regressor | 0.35 | 0.31 | 0.55 | 0.72 | 0.16 | 0.21 | 0.01 |
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Öğe, B.C.; Karabulut, M.; Öztürk, H.; Tugrul, B. Machine Learning Predictions of the Flexural Response of Low-Strength Reinforced Concrete Beams with Various Longitudinal Reinforcement Configurations. Buildings 2026, 16, 433. https://doi.org/10.3390/buildings16020433
Öğe BC, Karabulut M, Öztürk H, Tugrul B. Machine Learning Predictions of the Flexural Response of Low-Strength Reinforced Concrete Beams with Various Longitudinal Reinforcement Configurations. Buildings. 2026; 16(2):433. https://doi.org/10.3390/buildings16020433
Chicago/Turabian StyleÖğe, Batuhan Cem, Muhammet Karabulut, Hakan Öztürk, and Bulent Tugrul. 2026. "Machine Learning Predictions of the Flexural Response of Low-Strength Reinforced Concrete Beams with Various Longitudinal Reinforcement Configurations" Buildings 16, no. 2: 433. https://doi.org/10.3390/buildings16020433
APA StyleÖğe, B. C., Karabulut, M., Öztürk, H., & Tugrul, B. (2026). Machine Learning Predictions of the Flexural Response of Low-Strength Reinforced Concrete Beams with Various Longitudinal Reinforcement Configurations. Buildings, 16(2), 433. https://doi.org/10.3390/buildings16020433

