Viscoelastic Soil–Structure Interaction Procedure for Building on Footing Foundations Considering Consolidation Settlements
Abstract
:1. Introduction
2. Materials and Methods
2.1. Theory of Settlements
2.2. Coefficient of Consolidation
2.3. Kelvin–Voigt Model Applied to Boundary Element Formulation
3. Results
3.1. Problem Description
3.2. Interaction Soil–Foundation
3.3. Interaction Foundation–Structure
4. Discussions about the Superstructure
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Footing | S1 = S6 | S2 = S5 | S3 = S4 | S7 = S12 | S8 = S11 | S9 = S10 |
---|---|---|---|---|---|---|
Dimensions (m) | 4.0 × 5.1 | 5.0 × 6.0 | 5.0 × 6.0 | 4.0 × 5.1 | 6.0 × 8.0 | 6.0 × 8.0 |
Area (m2) | 20.4 | 30.0 | 30.0 | 20.4 | 48.0 | 48.0 |
Average vertical stress (kPa) | 332.0 | 356.0 | 337.0 | 360.0 | 385.0 | 357.0 |
Iteration | S1 = S6 | S2 = S5 | S3 = S4 | S7 = S12 | S8 = S11 | S9 = S10 |
---|---|---|---|---|---|---|
1 | Infinite | Infinite | Infinite | Infinite | Infinite | Infinite |
2 | 44,013 | 55,031 | 49,768 | 46,430 | 86,379 | 76,402 |
3 | 48,814 | 53,420 | 47,841 | 53,304 | 83,166 | 73,317 |
4 | 51,179 | 52,021 | 45,009 | 55,457 | 80,062 | 71,199 |
5 | 53,512 | 52,974 | 47,163 | 57,189 | 79,728 | 72,563 |
Iteration | S1 = S6 | S2 = S5 | S3 = S4 | S7 = S12 | S8 = S11 | S9 = S10 |
---|---|---|---|---|---|---|
1 | 6778 | 10,676 | 10,103 | 7336 | 18,485 | 17,114 |
2 | 7859 | 10,310 | 9616 | 8955 | 17,548 | 16,203 |
3 | 8598 | 10,144 | 9497 | 9705 | 16,813 | 15,735 |
4 | 9097 | 10,118 | 9244 | 10,008 | 16,424 | 15,601 |
5 | 9151 | 9974 | 9361 | 10,176 | 16,148 | 15,682 |
Iteration | S1 = S6 | S2 = S5 | S3 = S4 | S7 = S12 | S8 = S11 | S9 = S10 |
---|---|---|---|---|---|---|
1 | 154 | 194 | 203 | 158 | 214 | 224 |
2 | 161 | 193 | 201 | 168 | 211 | 221 |
3 | 168 | 195 | 211 | 175 | 210 | 221 |
4 | 170 | 191 | 196 | 175 | 206 | 215 |
5 | 171 | 191 | 198 | 177 | 206 | 219 |
Initial Time Results | Infinite Time Results after Interactions | ||||
---|---|---|---|---|---|
Compression Force (kN) | The Maximum Bending Moment at Plane XZ (kN m) | The Maximum Bending Moment at Plane YZ (kN m) | Compression Force (kN) | The Maximum Bending Moment at Plane XZ (kN m) | The Maximum Bending Moment at Plane YZ (kN m) |
7336.13 | 56.99 | 184.03 | 10,176.04 | 321.83 | 453.17 |
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Lanes, R.M.; Greco, M.; Almeida, V.d.S. Viscoelastic Soil–Structure Interaction Procedure for Building on Footing Foundations Considering Consolidation Settlements. Buildings 2023, 13, 813. https://doi.org/10.3390/buildings13030813
Lanes RM, Greco M, Almeida VdS. Viscoelastic Soil–Structure Interaction Procedure for Building on Footing Foundations Considering Consolidation Settlements. Buildings. 2023; 13(3):813. https://doi.org/10.3390/buildings13030813
Chicago/Turabian StyleLanes, Ricardo Morais, Marcelo Greco, and Valerio da Silva Almeida. 2023. "Viscoelastic Soil–Structure Interaction Procedure for Building on Footing Foundations Considering Consolidation Settlements" Buildings 13, no. 3: 813. https://doi.org/10.3390/buildings13030813