On the variational solution of a limiting equilibrium problem involving an anchored wall

Puła, Olgierd; Puła, Wojciech; Wolny, Anna

doi:10.1016/j.compgeo.2005.01.002

Cited by 6 publications

(6 citation statements)

References 3 publications

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“…The maximum value of the anchor force is resolved in the framework of the kinematically admissible failure mechanism (Chen, 1975) for the unified body. It is further stipulated that the critical slip surface passes through the tip of the wall and of a logarithmic spiral (based on resolving Euler's equations in the variational approach (Puła et al, 2005)) described by 1:…”

Section: Analysis Model and Derivation Of Anchor Forcementioning

confidence: 99%

“…An anchored sheet wall was proposed to retain deep excavation in cohesionless soil with a unit weight γ of 19 kN/m 3 (Puła et al, 2005). The wall system is characterised by β = 0°, δ = 0°, h = 12 m, z = 2•5 m, z p = 3•0 m and q = 0 kPa.…”

Section: Two Engineering Examplesmentioning

confidence: 99%

“…Dip angle β of anchor Under various dip angles of the anchor, the anchor force obtained by the proposed method is shown in Figure 8, together with those obtained by variational calculus (Puła et al, 2005). There is a small difference between the two methods at ϕ = 35°.…”

Section: 1mentioning

confidence: 99%

“…However, because moment equilibrium is ignored, sometimes the related calculation results are not rational. Variational calculus can be reasonably used to solve the problem (Puła et al, 2005), and its computation results are suitable for practical engineering. From the perspective of convenient application in engineering design, however, it has two defects, namely, no explicit formula for anchor force and the complicated process of numerical computations.…”

Section: Introductionmentioning

confidence: 99%

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Limit analysis of ground anchor forces

Xiao

Guo

2017

Proceedings of the Institution of Civil Engineers - Geotechnica

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An anchored sheet wall is commonly used in retaining deep excavations. Anchor force is one of the critical design parameters in practice. Based on the kinematical admissible failure mechanism, a limit analysis approach to determine the anchor force is presented. The explicit formula for the anchor force is given, which makes it easy to calculate using a simple calculation program such as MS Office Excel. Anchor force is mainly influenced by seven parameters: the internal friction angle; cohesion of the soil; wall friction angle; surcharge on the ground surface; dip angle of the anchor; penetration depth of the wall; and depth from the anchor force action point on the wall to the ground surface. The relevant quantitative calculation can be performed by the proposed method. In addition, the design anchor force under a specified design safety factor and the anchor forces of multiple rows of anchors are also illustrated in this paper. To verify that the method is reasonable, the predicted and measured anchor forces are compared in two classical soil-nailed wall experiments. The result shows that the presented method is applicable.

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Section: Analysis Model and Derivation Of Anchor Forcementioning

confidence: 99%

Section: Two Engineering Examplesmentioning

confidence: 99%

Section: 1mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Limit analysis of ground anchor forces

Xiao

Guo

2017

Proceedings of the Institution of Civil Engineers - Geotechnica

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“…Then it was introduced to the stability analysis of slope and foundation [10][11][12][13][14][15][16][17][18][19][20][21][22]. And some scholars utilized the variational limit equilibrium method to study the lateral earth pressure on the retaining wall [23][24][25][26]. According to the variational method, Shaojun studied the shape of the slip surface of the sliding soil wedge behind the retaining wall and obtained the analytical solution of the shape of the slip surface and the magnitude of seismic active earth pressure [27].…”

Section: Introductionmentioning

confidence: 99%

Study on the Seismic Active Earth Pressure by Variational Limit Equilibrium Method

Chen

Yang

et al. 2016

Shock and Vibration

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In the framework of limit equilibrium theory, the isoperimetric model of functional extremum regarding the seismic active earth pressure is deduced according to the variational method. On this basis, Lagrange multipliers are introduced to convert the problem of seismic active earth pressure into the problem on the functional extremum of two undetermined function arguments. Based on the necessary conditions required for the existence of functional extremum, the function of the slip surface and the normal stress distribution on the slip surface is obtained, and the functional extremum problem is further converted into a function optimization problem with two undetermined Lagrange multipliers. The calculated results show that the slip surface is a plane and the seismic active earth pressure is minimal when the action point is at the lower limit position. As the action point moves upward, the slip surface becomes a logarithmic spiral and the corresponding value of seismic active earth pressure increases in a nonlinear manner. And the seismic active earth pressure is maximal at the upper limit position. The interval estimation constructed by the minimum and maximum values of seismic active earth pressure can provide a reference for the aseismic design of gravity retaining walls.

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