Research on Mechanical Characteristics of Slope Reinforcement by Spatial Arc Crown Beam Composite Supporting Structure
Abstract
:1. Introduction
2. Theoretical Analysis
3. Laboratory Model Test
3.1. Test Design
3.2. Test Materials
3.3. Test Arrangement and Loading
3.4. Test Results
3.4.1. Bending Moment of Pile along the Transverse Slope Direction (Mx)
3.4.2. Bending Moment of Pile along the Downhill Direction (My)
4. Finite Element Numerical Calculation
4.1. Model Building
4.2. Numerical Simulation Verification
4.3. Numerical Analysis Results
4.3.1. Pile Displacement
4.3.2. Soil Pressure
4.3.3. Crown Beam Stiffness
5. Conclusions
- (1)
- The spatial arc crown beam is simplified to a two-hinged arch. Compared with the straight crown beam, the maximum value of the bending moment in the arc crown beam is about one-third the quantity of the straight crown beam through theoretical calculation.
- (2)
- The spatial arc crown beam redistributes the load among different piles. The extreme values of the piles not at the slope foot vary within 10% along the downhill direction, and thus the mechanical characteristics of pile are more reasonable.
- (3)
- The bending moments are close to zero at the pile end, and the pile tops are connected through the arc crown beam. Thus, the anti-slide pile can be simplified as a vertical beam with one end fixed and one end hinged.
- (4)
- The axial force in the spatial arc crown beam is always presented as pressure. Therefore, the crown beam can make full use of the compression resistance of concrete and avoid the bending–shear failure in a straight crown beam.
- (5)
- The distribution characteristic of soil pressure in front of pile near the arch foot is different from that in other positions. The stable soil at the slope foot provides greater soil resistance for anti-piles than that in other positions. Although the soil pressure in front of the pile top is zero at the slope foot, the anti-slide piles are still within normal work conditions and thus can avoid the soil destruction in a large area.
- (6)
- As crown stiffness is above five times the reference value, the axial force of the crown beam tends to be stable. However, the stiffness increases continually to 20 times that the reference value. The maximum value of My is −1013.13 kN·m, and the constraining effect of the crown beam is gradually weakened.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Parameters | Similitude Relations | Similitude Ratios |
---|---|---|
Dimension, L (m) | CL | 10 |
Acceleration of gravity, g (g/s2) | Cg = 1 | 1 |
Cohesion, c (kPa) | Cc = 1 | 1 |
Internal friction angle, φ (°) | Cφ = 1 | 1 |
Density, ρ (g/cm3) | Cρ = 1 | 1 |
Elasticity modulus, E (MPa) | CE = CL | 1 |
Strain, ε | Cε = CL | 1 |
Pile Number | P1 | P2 | P3 | P4 | P5 | P6 | P7 | P8 | P9 | P10 | P11 |
---|---|---|---|---|---|---|---|---|---|---|---|
Pile length/mm | 630 | 840 | 980 | 1080 | 1130 | 1150 | 1130 | 1080 | 980 | 840 | 630 |
Materials | Unit Weight (kN/m3) | Cohesion (kPa) | Internal Friction Angle (°) | Poisson’s Ratio | Elasticity Modulus E (MPa) | Unit Type | Constitutive Model |
---|---|---|---|---|---|---|---|
Soil | 20.8 | 42.5 | 30.05 | 0.32 | 16.38 | Solid | Elastic-plastic model |
Crown Beam | 24 | — | — | 0.2 | 3 × 104 | soild | Elastic model |
Pile | 24 | — | — | 0.2 | 3 × 104 | Solid | Elastic model |
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Deng, Y.; Yao, Z.; Peng, C.; Li, W.; Zhang, K. Research on Mechanical Characteristics of Slope Reinforcement by Spatial Arc Crown Beam Composite Supporting Structure. Appl. Sci. 2023, 13, 293. https://doi.org/10.3390/app13010293
Deng Y, Yao Z, Peng C, Li W, Zhang K. Research on Mechanical Characteristics of Slope Reinforcement by Spatial Arc Crown Beam Composite Supporting Structure. Applied Sciences. 2023; 13(1):293. https://doi.org/10.3390/app13010293
Chicago/Turabian StyleDeng, Yousheng, Zhigang Yao, Chengpu Peng, Wenjie Li, and Keqin Zhang. 2023. "Research on Mechanical Characteristics of Slope Reinforcement by Spatial Arc Crown Beam Composite Supporting Structure" Applied Sciences 13, no. 1: 293. https://doi.org/10.3390/app13010293