Nonlinear Active Earth Pressure Distribution Based on Coulomb's Theory

2011 ◽  
Vol 90-93 ◽  
pp. 433-437 ◽  
Author(s):  
Jian Gong Chen ◽  
Mei Lin Deng ◽  
Yong Xing Zhang
Keyword(s):  
Retaining Wall ◽  
Slope Angle ◽  
Earth Pressure ◽  
Resultant Force ◽  
Active Earth Pressure ◽  
Bottom Edge ◽  
First Order ◽  
Application Point ◽  
Dip Angle ◽  
Set Up

On the basis of coulomb’s concept that the active earth pressure against the back of a retaining wall is due to the thrust force exerted by a sliding wedge of soil between the back of the wall and a plane which passes through the bottom edge of the wall and has an inclination of θ, two basis differential equations of first order are set up by considering the equilibrium of the forces and the moments on a partial wedge of soil. The distributing coefficient of active earth pressure is obtained through comparing two basis equations. The unit earth pressure and the application point of the resultant force are deduced. The effects of parameters such as the internal frictional angle of backfill, the frictional angle between the wall back and the backfill, slope angle of filling and dip angle of wall back on distributing coefficient of active earth pressure, the unit earth pressure, the application point of the resultant force, rupture angle are analyzed in detail. Meanwhile the non-linear distributing features are concluded.

scholarly journals A Computational Method of Active Earth Pressure from Finite Soil Body

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Yi Tang ◽  
Jiangong Chen
Keyword(s):  
Retaining Wall ◽  
Slope Angle ◽  
Earth Pressure ◽  
Calculation Model ◽  
Resultant Force ◽  
Computational Method ◽  
Active Earth Pressure ◽  
Linear Distribution ◽  
Application Point ◽  
The Earth

Nowadays, Coulomb and Rankine earth pressure theories have been widely applied to solve the earth pressure on a retaining structure. However, both of the theories established on the basis of the semi-infinite space assumption are not suitable for calculating the earth pressure from finite soil body. Therefore, this paper focuses on a theoretical study about the active earth pressure from finite soil body. Firstly, a common calculation model of finite soil body is established according to the results of previous studies. And then, based on Coulomb’s theory and the wedge element method, an analytical solution of the unit active earth pressure from finite soil body is deduced without an assumption of its linear distribution in advance. Meanwhile, formulas of the active earth pressure strength coefficient and the application point of the resultant force are also deduced. Finally, the influence of parameters such as the frictional angle between the retaining wall back and backfill, slope angle of backfill, dip angle of the retaining wall back, the frictional angle between backfill and rock slope, and uniformly applied load on the backfill surface on the distribution of the unit active earth pressure and the application point of the resultant force is analyzed in detail.

Analysis of active earth pressure against rigid caissons backfilled with crushed rock and sand

2009 ◽  
Vol 46 (10) ◽  
pp. 1216-1228 ◽  
Author(s):  
Kyuho Paik ◽  
Myung Sagong ◽  
Hyungjoo Lee
Keyword(s):  
Retaining Wall ◽  
Slope Angle ◽  
Earth Pressure ◽  
Crushed Rock ◽  
Active Earth Pressure ◽  
Active Force ◽  
Marine Structures ◽  
Earth Pressures ◽  
Backfill Materials ◽  
New Formulation

Arching effects in backfill materials generate a nonlinear active earth-pressure distribution behind a rough, rigid retaining wall. There are several analyses for estimating the nonlinear active earth pressures on a retaining wall exerted by a homogeneous backfill in the presence of arching. However, it is not possible to use these analyses for a caisson backfilled with crushed rock and sand, which is common in marine structures. In this study, a new formulation is proposed for calculating the nonlinear active earth pressure acting on a caisson backfilled with crushed rock and sand. The new formulation allows important insights, including the dependence of the slope angle of the crushed rock – sand interface that minimizes the active force and overturning moment on the caisson on the shear strengths of the crushed rock and sand and the geometry of the problem.

scholarly journals An Analytical Method of Coulomb’s Active Earth Pressure Acting on Cohesion-Less Backfill Subject to Local Surcharge in Cold Regions

2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Li Liu ◽  
Zhen Yang ◽  
Pan Zhou ◽  
Hongwei Yang
Keyword(s):  
Retaining Wall ◽  
Earth Pressure ◽  
Friction Angle ◽  
Active Earth Pressure ◽  
Cold Regions ◽  
Wedge Failure ◽  
Backfill Soil ◽  
Failure Angle ◽  
Dip Angle ◽  
Formula Derivation

The traditional Coulomb’s earth pressure theory does not consider the effect of local surcharge on the lateral earth pressure and its critical failure angle. However, in practice, local surcharges commonly act on the surface of frozen backfill that is affected by freeze-thaw actions in cold regions and tend to affect the active thrust and its position. In paper, analytical solutions for estimating the active thrust, critical wedge failure angle, and action position subject to a local surcharge in cold regions are proposed. Herein, the simplified equivalent moment of surcharge is adopted on the premise of maintaining Coulomb’s earth pressure assumptions. The formula derivation is provided as a typical example to obtain the active thrust, critical wedge failure angle, and its position under a strip surcharge. Compared with previous approaches, the proposed solutions lead to easier evaluation of all indexes associated with Coulomb’s active earth pressure. Meanwhile, the expressions of Coulomb’s earth pressure under other types of nonuniform loading acting on the wall are discussed. In addition, sensitivity is performed to assess the effect of some main parameters. The results indicate that the dip angle of retaining wall-back and the friction angle of frozen backfill soil are two most significant indexes that influence the active thrust and its position.

scholarly journals Active Earth Pressure against Rigid Retaining Walls for Finite Soils in Sloping Condition considering Shear Stress and Soil Arching Effect

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Weidong Hu ◽  
Kangxing Liu ◽  
Xinnian Zhu ◽  
Xiaolong Tong ◽  
Xiyu Zhou
Keyword(s):  
Shear Stress ◽  
Principal Stress ◽  
Retaining Wall ◽  
Earth Pressure ◽  
Active Earth Pressure ◽  
Soil Arching ◽  
Soil Layers ◽  
Arching Effect ◽  
Soil Arching Effect ◽  
Application Point

The horizontal differential layer element method was used to study the active earth pressure of the finite-width soil formed by the rigid retaining wall for the embankment or adjacent foundation pits. The cohesionless soil was taken as the research object, and the soil arch theory was introduced based on the translation mode of rigid retaining wall and the linear sliding fracture surface. The minor principal stress line was assumed as circular, considering the deflected principal stress as soil arching effect. The shear stress between level soil layers in the failure wedge was calculated, and the differential level layer method was modified. Then, the theoretical formula of the active earth pressure, the resultant earth pressure, and the point of application of resultant earth pressure were obtained using this revised method. The predictions by the proposed formula were compared with the existing methods combined with the cases. It is shown that the resultant finite pressure increases gradually and approaches to Coulomb active earth pressure values when the soil is infinite, with the increase of the ratios of the backfill width to height. Moreover, the horizontal pressure for limited soils is distributed nonlinearly along the wall height. Considering the shear stress between level soil layers and the soil arching effect, the position of application point of the resultant active earth pressure by the proposed formulation is higher than that of Coulomb’s solution. The wall is rougher, and the resultant pressure will be smaller. The application point distance from the bottom of the wall will increase. Finally, an experiment was conducted to verify the distribution of the active earth pressure for finite soil against rigid retaining wall, and the research results agree well with those of the experimented observations.

scholarly journals Simplified Calculation Method for Seismic Active Earth Pressure of Translational Retaining Wall considering Soil Arching Effect

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Zheng-zhen Wang ◽  
Rang-cheng Kou ◽  
Yong Zhou ◽  
Tian-zhong Ma
Keyword(s):  
Retaining Wall ◽  
Earth Pressure ◽  
Friction Angle ◽  
Resultant Force ◽  
Active Earth Pressure ◽  
Soil Arching ◽  
Arching Effect ◽  
Soil Arching Effect ◽  
Seismic Active Earth Pressure ◽  
Derivation Process

At present, most seismic earth pressure theories have the limitations of complex derivation process and difficult solution. To solve these problems, considering the deflection of small principal stress caused by soil arching effect, the central arc soil arch was approximated to two inclined linear soil arches, which can greatly simplify the derivation process. Firstly, by improving the combination of differential thin-layer element method and pseudostatic method, the theoretical formulas of seismic active earth pressure intensity, resultant force size, and resultant force action point under translation mode (T mode) were derived and were verified by experimental results. Then, the influence of soil internal friction angle, wall-soil friction angle, and seismic coefficient on seismic active earth pressure theory was analyzed. The results show that the seismic active earth pressure is nonlinearly distributed, and the seismic horizontal coefficient has a greater influence than other influence factors. The theoretical results can provide reference for the seismic design of retaining wall.

scholarly journals Probabilistic analysis of the active earth pressure on retaining wall for c-f soil backfill under seismic loading conditions

DYNA ◽  
2017 ◽  
Vol 84 (202) ◽  
pp. 9-15
Author(s):  
André Luís Brasil Cavalcante ◽  
Juan Félix Rodríguez Rebolledo
Keyword(s):  
Probabilistic Analysis ◽  
Retaining Wall ◽  
Earth Pressure ◽  
Seismic Loading ◽  
Active Earth Pressure ◽  
Loading Conditions

En este artículo se describe una metodología basada en el método de estimación puntual de Rosenblueth para el análisis del empuje activo desarrollado en un muro de retención con relleno cohesivo-friccionante bajo condiciones de carga sísmica. El principio básico de esta metodología es usar dos estimaciones puntales, i.e., la desviación estándar y el valor medio, para examinar una variable en el análisis de seguridad. Es posible mostrar que aumentando el valor del coeficiente de aceleración sísmica horizontal, el factor de seguridad por volteo decrece y la probabilidad de falla aumenta, especialmente para coeficientes mayores que 0.2. Por otro lado, es observado que el valor medio del factor de seguridad crece cuando aumenta el coeficiente de aceleración sísmica vertical, sin embargo la probabilidad de falla se mantiene prácticamente igual para el valor del factor de seguridad considerado como crítico (1.15).

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