Application of Stochastic Finite Element Modeling to Reinforced Lightweight Concrete Beams Containing Expanded Polystyrene Beads
Abstract
:1. Introduction
2. Summary of Experimental Program Executed for Shear Strength Testing of RC Beams Containing EPS Additions
- , MPa = 0.134 (, MPa) − 1.87 R2 = 0.95
- E, GPa = 0.836 (, MPa) − 1.65 R2 = 0.98
- , kg/m3 = 17.95 (, MPa) + 1527.1 R2 = 0.45
Concrete Mechanical Properties | RC Beam Properties | |||||||
---|---|---|---|---|---|---|---|---|
, kg/m3 | , MPa | , MPa | , GPa | Load When First Crack Appeared, kN | Max. Crack Opening, mm | Pmax, kN | Deflection (δmax) at Pmax, mm | |
350-Control | 2375 (1.9%) | 36.64 (5.1%) | 2.9 (6.8%) | 29.8 (7.7%) | 60.5 (11.4%) | 0.7 (9.2%) | 82.88 (8.8%) | 3.9 (11.2%) |
350-2 kg EPS | 2205 (2.5%) | 31.85 (8%) | 2.11 (9.9%) | 24.2 (11.5%) | 51.3 (18.5%) | 1.3 (16.1%) | 58.62 (13.2%) | 2.55 (16.4%) |
350-3 kg EPS | 1955 (2.3%) | 25.06 (10.3%) | 1.55 (11.2%) | 19.8 (13%) | 50.4 (18%) | 1.52 (17%) | 57.98 (18.6%) | 2.37 (22.1%) |
450-Control | 2390 (2.7%) | 48.2 (4.9%) | 4.57 (7%) | 38.76 (7.4%) | 73.6 (9.6%) | 0.86 (8%) | 95.03 (9.6%) | 3.57 (13%) |
450-3 kg EPS | 1895 (2.5%) | 35.6 (10.6%) | 3.3 (11%) | 27.4 (13.2%) | 44 (20.1%) | 1.12 (12.3%) | 50.52 (19.2%) | 1.84 (22%) |
3. Phase 1-Deterministic Finite Element (FE) Modeling
3.1. Description of the Model
3.2. Damage Field Distribution
3.3. Equivalent Strain εeq Distribution
3.4. Maximum Load and Deflection at Failure
4. Phase 2-Stochastic FE Modeling for RC Beams
4.1. Methodology
4.2. Application of Stochastic FE Method to RC Beams
4.3. Comparison between Experimental vs. FE Modeling
5. Summary and Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Experimental Test | Deterministic FE | Stochastic FE | ||||
---|---|---|---|---|---|---|
Pmax, kN | δmax, mm | Pmax, kN | δmax, mm | Pmax, kN | δmax, mm | |
350-Control | 82.88 Std = 7.3 COV = 8.8% | 3.9 Std = 0.44 COV = 11.2% | 80.04 | 3.78 | 77.53 Std = 3.21 COV = 4% | 3.25 Std = 0.26 COV = 8.1% |
350-2 kg EPS | 58.62 Std = 7.73 COV = 13.2% | 2.55 Std = 0.41 COV = 16.4% | 57.8 | 2.45 | 60.54 Std = 5.03 COV = 8.3% | 2.82 Std = 0.39 COV = 13.8% |
350-3 kg EPS | 57.98 Std = 10.78 COV = 18.6% | 2.37 Std = 0.52 COV = 22.1% | 58.25 | 2.53 | 50.5 Std = 5.1 COV = 10% | 2.64 Std = 0.38 COV = 14.4% |
450-Control | 95.03 Std = 9.12 COV = 9.6% | 3.57 Std = 0.46 COV = 13% | 94.23 | 3.42 | 93.36 Std = 3.43 COV = 3.67% | 3.6 Std = 0.14 COV = 3.9% |
450-3 kg EPS | 50.52 Std = 9.7 COV = 19.2% | 1.84 Std = 0.4 COV = 22% | 49.1 | 2.14 | 52.58 Std = 6.31 COV = 12% | 2.47 Std = 0.404 COV = 16.3% |
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Ghannoum, M.; Abdelkhalek, L.; Assaad, J.J. Application of Stochastic Finite Element Modeling to Reinforced Lightweight Concrete Beams Containing Expanded Polystyrene Beads. Buildings 2023, 13, 2294. https://doi.org/10.3390/buildings13092294
Ghannoum M, Abdelkhalek L, Assaad JJ. Application of Stochastic Finite Element Modeling to Reinforced Lightweight Concrete Beams Containing Expanded Polystyrene Beads. Buildings. 2023; 13(9):2294. https://doi.org/10.3390/buildings13092294
Chicago/Turabian StyleGhannoum, Maria, Lara Abdelkhalek, and Joseph J. Assaad. 2023. "Application of Stochastic Finite Element Modeling to Reinforced Lightweight Concrete Beams Containing Expanded Polystyrene Beads" Buildings 13, no. 9: 2294. https://doi.org/10.3390/buildings13092294