Limit analysis of anchored concrete soldier-pile walls in clay under vertical loading

The vertical stability of anchored concrete soldier-pile walls is highly influenced by the complexity of the interaction between the different parts of the structure, i.e., wall, anchors, and supported soil mass. The problem is analyzed using upper bound limit analysis through published solutions and proposed closed-form equations. A comparison is made between these equations and numerical limit analyses. An estimate of the theoretical minimum pile resistance required to avoid excavation collapse is presented. Published finite element elastoplastic results are used for comparison.Key words: anchored retaining wall, concrete soldier-pile walls, vertical equilibrium, finite elements, limit analysis, soil-to-wall interface shear forces.

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Upper Bound Limit Analysis of Passive Earth Pressure of Cohesive Backfill on Retaining Wall

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.353-356.895 ◽

2013 ◽

Vol 353-356 ◽

pp. 895-900 ◽

Cited By ~ 1

Author(s):

Xin Rong Liu ◽

Ming Xi Ou ◽

Xin Yang

Keyword(s):

Upper Bound ◽

Limit Analysis ◽

Slip Surface ◽

Retaining Wall ◽

Earth Pressure ◽

Friction Angle ◽

Cohesive Soil ◽

Passive Earth Pressure ◽

Simple Method ◽

Upper Bound Limit Analysis

In view of the shortage of using classical earth pressure theories to calculating passive earth pressure of cohesive soil on retaining wall under complex conditions. Based on the planar slip surface and the back of retaining wall was inclined and rough assumption, the calculation model of passive earth pressure of cohesive backfill under uniformly distrubuted loads was presented, in which the upper bound limit analysis was adopted. Meanwhile it was proven that the prevailing classical Rankine’s earth pressure theory was a special example simlified under the condition of its assumptions. For it’s difficult to determine the angle of slip surface , a relatively simple method for calculating the angle was proposed by example. And the influence of angle of wall back , friction angle of the interface between soil and retaining wall, cohesion force and internal friction angle of backfill soil to planar sliding surface and passive earth pressure were analyzed. Some good calculation results were achieved, these analysis can provide useful reference for the design of retaining wall.

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Vertical uplift capacity of horizontal anchors using upper bound limit analysis and finite elements

Canadian Geotechnical Journal ◽

10.1139/t08-005 ◽

2008 ◽

Vol 45 (5) ◽

pp. 698-704 ◽

Cited By ~ 59

Author(s):

Jyant Kumar ◽

K. M. Kouzer

Keyword(s):

Finite Elements ◽

Upper Bound ◽

Limit Analysis ◽

Friction Angle ◽

Soil Mass ◽

Flow Rule ◽

Uplift Capacity ◽

Collapse Load ◽

Upper Bound Limit Analysis ◽

Associated Flow Rule

The vertical uplift capacity of strip anchors embedded horizontally at shallow depths in sand is examined by using an upper bound limit analysis in conjunction with finite elements and linear programming. Velocity discontinuities were allowed along the interfaces of all the elements. The plastic strains within elements were incorporated by using an associated flow rule. The collapse load was expressed in terms of a nondimensional uplift factor Fγ, which was found to increase continuously with an increase in both embedment ratio (λ) and the friction angle (ϕ) of sand. Even though the analysis considers the development of plastic strain within all elements, however, at collapse, the soil mass just above the anchor was found to move as a single rigid block bounded by planar rupture surfaces making an angle ϕ with the vertical. The results were found to be almost the same as reported in the literature for those based upon a simple rigid wedge mechanism.

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Influence of tension cut-off on the stability of anchored concrete soldier-pile walls in clay

Canadian Geotechnical Journal ◽

10.1139/t08-039 ◽

2008 ◽

Vol 45 (7) ◽

pp. 1036-1044 ◽

Cited By ~ 7

Author(s):

Armando N. Antão ◽

Nuno M. da Costa Guerra ◽

Manuel Matos Fernandes ◽

António S. Cardoso

Keyword(s):

Numerical Analysis ◽

Significant Influence ◽

Upper Bound ◽

Yield Criterion ◽

Soil Strength ◽

Vertical Loading ◽

The Stability ◽

Pile Resistance ◽

Soldier Pile

A previous paper studied the stability of soldier-pile walls in clay under vertical loading using upper bound analyses. A classical Tresca yield criterion was assumed in that analysis. This paper extends that study by considering a tension truncated Tresca yield criterion in an upper bound numerical analysis of the problem. It shows that assuming zero tension soil strength has a significant influence on the values of the minimum soldier-pile resistance required to ensure stability.

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