Static analysis of axially loaded piles in multilayered soils using a BEM/FEM formulation

Luamba, Endi Samba; Paiva, João Batista de

doi:10.1016/j.enganabound.2021.10.025

Cited by 5 publications

(5 citation statements)

References 13 publications

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“…The axial stiffness, K n , of a pile foundation is defined as the ratio of the axial force at the pile top to the settlement at the pile top. Currently, common methods for calculating single pile settlement mainly include load transfer method [30], shear displacement method [31], elastic theory method [32], boundary element method [33], finite element method, etc. [34].…”

Section: Calculation Of Axial Stiffness K N Of Pile Foundation Consid...mentioning

confidence: 99%

“…( 29) with compatibility conditions Eqs. ( 30)- (33). The resolution of this linear equation system yields the deflection, rotation angle, bending moment, and shear force at each node, facilitating the determination of internal forces and deformations in the foundation beam corresponding to the transfer structure.…”

Section: Calculation and Processing Of Distributed Load On Beamsmentioning

confidence: 99%

“…By synthesizing Eqs. ( 29)- (33), and (36), a nonlinear equation system is derived for the deflection, rotation angle, bending moment, shear force, and line load transmitted from the bearing plate to the longitudinal and transverse beams. The Newton Simpson iteration method [41] can be applied to solve this equation, facilitating the solution for the internal forces and deformations of the foundation beams corresponding to the transfer structure.…”

Section: Calculation and Processing Of Distributed Load On Beamsmentioning

confidence: 99%

“…Compatibility Eqs. (30) to (33) is formulated based on the compatibility conditions at points of concentrated force action and the intersection nodes of longitudinal and transverse beams. Eq.…”

Section: Solving Processmentioning

confidence: 99%

See 3 more Smart Citations

A Simplified Method for the Stress Analysis of Underground Transfer Structures Crossing Multiple Subway Tunnels

Yan,

Geng,

Dai

et al. 2024

CMES

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According to the design specifications, the construction of extended piles involves traversing the tunnel's upper region and extending to the underlying rock layer. To address this challenge, a subterranean transfer structure spanning multiple subway tunnels was proposed. Deliberating on the function of piles in the transfer structure as springs with axial and bending stiffness, and taking into account the force balance and deformation coordination conditions of beams and plates within the transfer structure, we established a simplified mechanical model that incorporates soil stratification by combining it with the Winkler elastic foundation beam model. The resolved established simplified mechanical model employed finite difference technology and the Newton-Simpson method, elucidating the mechanical mechanism of the transfer structure. The research findings suggest that the load carried by the upper structural columns can be transferred to the pile foundation beneath the beams through the transfer structure, subsequently reaching the deep soil layer and ensuring minimal impact on adjacent tunnels. The established simplified analysis method can be used for stress analysis of the transfer structure, concurrently considering soil stratification, pile foundation behavior, and plate action. The pile length, pile section size, and beam section size within the transfer structure should account for the characteristics of the upper load, ensuring an even distribution of the beam bending moment.

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Section: Calculation Of Axial Stiffness K N Of Pile Foundation Consid...mentioning

confidence: 99%

Section: Calculation and Processing Of Distributed Load On Beamsmentioning

confidence: 99%

Section: Calculation and Processing Of Distributed Load On Beamsmentioning

confidence: 99%

Section: Solving Processmentioning

confidence: 99%

See 2 more Smart Citations

A Simplified Method for the Stress Analysis of Underground Transfer Structures Crossing Multiple Subway Tunnels

Yan,

Geng,

Dai

et al. 2024

CMES

View full text Add to dashboard Cite

show abstract

“…Several researchers estimated the pile deformations based on the energy-based method [1][2][3][4][5][6][7]. There are many numerical methods available in the published literature with various pile geometry and constitutive models using the Finite Element Method (FEM) [8][9][10][11][12][13], the Finite Difference Method (FDM) [8,[14][15][16][17][18] and the Boundary Element Method (BEM) [3,4,[19][20][21][22]. The present study is based on the FDM since it yields results faster when compared to the FEM.…”

Section: Introductionmentioning

confidence: 99%

Energy-Based Approach: Analysis of a Vertically Loaded Pile in Multi-Layered Non-Linear Soil Strata

Arvan

Arockiasamy

2022

Geotechnics

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Numerous studies have been reported in the published literature on analytical solutions for a vertically loaded pile installed in a homogeneous single soil layer. However, piles are rarely installed in an ideal homogeneous single soil layer. This study presents an analytical model based on the energy-based approach to obtain displacements in an axially loaded pile embedded in multi-layered soil considering soil non-linearity. The developed analytical model incorporating Euler-Bernoulli beam theory proved to be an effective way in estimating the load-displacement responses of piles embedded in multi-layered non-linear elastic soil strata. The differential equations are solved analytically and numerically using the variational principle of mechanics. A parametric study investigated the effect of explicit incorporation of soil properties and layering in order to understand the importance of predicting appropriate pile displacement responses in linear elastic soil system. It is clear from the results that the analyses which consider the soil as a single homogeneous layer will not be able to produce an accurate estimation of the pile stiffnesses. Therefore, it is highly important to account for the effect of soil layering and the non-linear response. The pile displacement response is obtained using the software MATLAB R2019a and the results from the energy-based method are compared with those obtained from the field test data as well as the Finite Element Analysis (FEA) based on the software ANSYS 2019R3. The non-linear elastic constitutive relationship which described the variation of secant shear modulus with strain through a power law has shown reasonably accurate predictions when compared to the published field test data and the FEA. The developed mathematical framework is also more computationally efficient than the three-dimensional (3D) FEA.

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Lateral response of a pile group embedded in the transversely isotropic saturated soil due to surcharge loads

Yang

Jia

2023

Engineering Analysis with Boundary Elements

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Static analysis of axially loaded piles in multilayered soils using a BEM/FEM formulation

Cited by 5 publications

References 13 publications

A Simplified Method for the Stress Analysis of Underground Transfer Structures Crossing Multiple Subway Tunnels

A Simplified Method for the Stress Analysis of Underground Transfer Structures Crossing Multiple Subway Tunnels

Energy-Based Approach: Analysis of a Vertically Loaded Pile in Multi-Layered Non-Linear Soil Strata

Lateral response of a pile group embedded in the transversely isotropic saturated soil due to surcharge loads

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