Limit-Equilibrium Analysis on Stability of a Reinforced Slope with a Grid Beam Anchored by Cables

Deng, Dean; Zhao, Lianheng; Li, Liang

doi:10.1061/(asce)gm.1943-5622.0000964

Cited by 11 publications

(4 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Conventional methods typically rely on the method of slices, treating the anchor force as a concentrated load acting externally on the slices (e.g., Refs. 4,[7][8][9]13,20,21). It is simplified as a concentrated load for computational convenience, which can potentially lead to disregarding the actual localized effects it induces.…”

Section: Introductionmentioning

confidence: 99%

Theoretical solutions for the anchoring force of 3‐D anchored slope and optimization strategy for anchoring force distribution

Wang,

Lu,

Zhu

2024

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

Based on the three‐dimensional limit equilibrium method with modifying normal stress over the slip surface, this study presents a theoretical solution for the anchoring force of three‐dimensional slopes and proposes a new optimization strategy for anchor force distribution. The method employed the Boussinesq solution from the field of elasticity. It led to the derivation of an equilibrium equation set, which incorporated the anchoring force increment. As a result, the approach yielded a more accurate theoretical value for a three‐dimensional anchoring force. In practical engineering applications, the prestress of anchor cables is often uniformly set, which may lead to discrepancies in the anchoring force requirements at different locations on the slope, potentially resulting in resource waste. The research introduces a linear programming approach to optimize resource allocation, aiming to minimize the total anchoring force under fixed anchor cable quantities, installation angles, and locations. Nevertheless, the results from the Simplex Method could lead to an overly concentrated distribution of anchoring force. Therefore, the study further employs the normal distribution theory to reallocate anchoring forces, thus achieving a more reasonable distribution. The proposed method has been validated through three example studies and a practical engineering case study, resulting in significant reductions in the total anchoring force following optimization. Moreover, such an approach allows for optimized handling of the anchoring force for each anchor cable. The work provides a new perspective and tool for practical engineering applications.

show abstract

Section: Introductionmentioning

confidence: 99%

Theoretical solutions for the anchoring force of 3‐D anchored slope and optimization strategy for anchoring force distribution

Wang,

Lu,

Zhu

2024

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

show abstract

“…There have been many studies about anchor frame beams with the anchor cable as the research object [5][6][7][8]. For example, Li et al [9] advanced a methodology for determining the layout and length of anchor cables based on three-dimensional geological characteristics.…”

Section: Introductionmentioning

confidence: 99%

Field Test and Numerical Study of Three Types of Frame Beams Subjected to a 600 kN Anchoring Force

Qin,

Dou,

Yang

et al. 2024

Buildings

View full text Add to dashboard Cite

Frame beams with anchor cables constitute a crucial method for slope reinforcement projects. With the development of fabricated structures, there has been an increasing focus on precast prestressed frame beams with anchor cables. This paper presents a field test conducted in Yunnan, China and numerical simulations to analyze the structure behavior of three types of frame beams with a 600 kN anchoring force: cast-in-situ frame beams, precast prestressed frame beams, and precast prestressed frame beams with connections. The results showed that: (1) Although all three types of frame beams met the design requirements for a 600 kN anchoring force capacity, the volume of precast prestressed frame beams constituted only 57% of that of the cast-in-situ frame beams. (2) The maximum bending moment for the precast prestressed frame beams with connections was 60 kN·m less than that for the cast-in-situ frame beams. (3) The field test results for bending moments exceeded the values obtained from the numerical simulation. When using a numerical simulation to study the bending moments of the anchor frame beams, it is acceptable to apply appropriate amplifications to the numerical results. (4) Among the three types of frame beams with cables, the precast prestressed frame beams with connections exhibited the best structural performance.

show abstract

“…The lattice beam (also called frame beam or concrete grillage) with anchor cables is a new type of in-situ retaining structure that has been proposed with the development of retaining structures in the past four decades in China [1][2][3][4][5][6][7]. It is a flexible retaining structure comprising a reinforced concrete lattice beam placed on the slope surface, cables anchored in the stable stratum, and the slope soil behind the wall (see Figure 1).…”

Section: Introductionmentioning

confidence: 99%

A Comparison of Load Distribution Methods at the Node and Internal Force Analysis of the Lattice Beam Based on the Winkler Foundation Model

et al. 2023

View full text Add to dashboard Cite

As a new type of retaining structure, lattice beams with tie-back anchor cables have been increasingly used in slope reinforcement and have achieved improved prevention effects. However, the simplified load distribution method (SLDM) at the node, which is the theoretical basis of internal force analysis for lattice beams, is not perfect at present. An alternative new load distribution method (NLDM) at the node based on the force method for the lattice beam was therefore introduced in this paper. Taking into account the loads acting on other nodes of the beams in both directions and according to the static equilibrium condition and deformation compatibility condition at the nodes, NLDM assigns the loads acting on the nodes to the cross beams and vertical beams, respectively, by constructing and solving a system of linear equations. In order to verify the superiority of NLDM, a case of slope reinforced by a lattice beam was introduced in this paper, and the load distribution of the nodes under the design condition was carried out based on both methods. Then, the deflections at the nodes of the lattice beam resting on the Winkler foundation, loaded with the known loads, were analyzed by the superposition method. The results of the deformation analysis showed that the deflections at the same nodes of the beams in both directions based on NLDM were almost equal, thus demonstrating the superiority of NLDM in terms of deformation compatibility. In addition, a comparative analysis of the theoretical bending moments of the lattice beam under the design and the actual working conditions based on both methods was also carried out. The results of the bending moment analysis showed that the bending moments of the cross beam differed significantly in the middle third of the beam length, while the bending moments of the vertical beams differed significantly at the beam sections where the maximum bending moments are located, and the theoretical bending moments under the actual working condition were in relatively good agreement with the measured values. Consequently, NLDM for the lattice beam was self-consistent in terms of the deformation compatibility at the node, and therefore the introduction of this new method provides an important theoretical basis for the accurate internal force analysis of lattice beams.

show abstract

Limit-Equilibrium Analysis on Stability of a Reinforced Slope with a Grid Beam Anchored by Cables

Cited by 11 publications

References 31 publications

Theoretical solutions for the anchoring force of 3‐D anchored slope and optimization strategy for anchoring force distribution

Theoretical solutions for the anchoring force of 3‐D anchored slope and optimization strategy for anchoring force distribution

Field Test and Numerical Study of Three Types of Frame Beams Subjected to a 600 kN Anchoring Force

A Comparison of Load Distribution Methods at the Node and Internal Force Analysis of the Lattice Beam Based on the Winkler Foundation Model

Contact Info

Product

Resources

About