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Analysis and settlement evaluation of an end-bearing granular pile with non-linear deformation modulus

Jitendra Kumar Sharma

Jitendra Kumar Sharma

Rajasthan Technical UniversityKota, India
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Sharma, Jitendra Kumar
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Pooja Gupta

Pooja Gupta

Maharishi Arvind International Institute of TechnologyKota, India
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Gupta, Pooja
  
Oct 03, 2018
Analysis and settlement evaluation of an end-bearing granular pile with non-linear deformation modulus's Cover Image
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Article Category: Research Article
Published Online: Oct 03, 2018
Page range: 188 - 201
Received: Apr 16, 2018
Accepted: Jun 18, 2018
DOI: https://doi.org/10.2478/sgem-2018-0022
Keywords
© 2018 Jitendra Kumar Sharma, Pooja Gupta, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Figure 1

Mirror image technique for a granular pile resting on bearing stratum.
Mirror image technique for a granular pile resting on bearing stratum.

Figure 2

Pile discretisation scheme.
Pile discretisation scheme.

Figure 3

(a) End-bearing pile; (b) variation of modulus of deformation with depth.
(a) End-bearing pile; (b) variation of modulus of deformation with depth.

Figure 4

Variation of the settlement influence factor Isp, with the relative stiffness, Kgp0, for an end-bearing granular pile: effect of the non-linear non-homogeneity parameter, δ (Eb/Es=10).
Variation of the settlement influence factor Isp, with the relative stiffness, Kgp0, for an end-bearing granular pile: effect of the non-linear non-homogeneity parameter, δ (Eb/Es=10).

Figure 5

Variation of the settlement influence factor Isp, with the relative stiffness, Kgp0, for end-bearing granular pile: effect of the non-linear non-homogeneity parameter, δ (α=(α=0, L/d =10, Eb/Es =100).
Variation of the settlement influence factor Isp, with the relative stiffness, Kgp0, for end-bearing granular pile: effect of the non-linear non-homogeneity parameter, δ (α=(α=0, L/d =10, Eb/Es =100).

Figure 6

Variation of the settlement influence factor Isp, with the relative stiffness, Kgp0, for end-bearing granular pile: effect of the non-linear non-homogeneity parameter, δ(α=2, L/d =10, Eb/Es =10).
Variation of the settlement influence factor Isp, with the relative stiffness, Kgp0, for end-bearing granular pile: effect of the non-linear non-homogeneity parameter, δ(α=2, L/d =10, Eb/Es =10).

Figure 7

Variation of the settlement influence factor Isp with the relative stiffness, Kgp0, for end-bearing granular pile: effect of the non-homogeneity parameter, δ (α=2, L/d =10, Eb/Es =100).
Variation of the settlement influence factor Isp with the relative stiffness, Kgp0, for end-bearing granular pile: effect of the non-homogeneity parameter, δ (α=2, L/d =10, Eb/Es =100).

Figure 8

Variation of the settlement influence factor Isp, with the relative stiffness, Kgp0, for an end-bearing granular pile: effect of the non-linear non-homogeneity parameter, δ (α=0, L/d =20, Eb/Es =10 and 100).
Variation of the settlement influence factor Isp, with the relative stiffness, Kgp0, for an end-bearing granular pile: effect of the non-linear non-homogeneity parameter, δ (α=0, L/d =20, Eb/Es =10 and 100).

Figure 9

Variation of the settlement influence factor Isp, with the relative stiffness, Kgp0: effect of the non-linear non-homogeneity parameter, δ (α=2, L/d = 20, Eb/Es =10 and 100).
Variation of the settlement influence factor Isp, with the relative stiffness, Kgp0: effect of the non-linear non-homogeneity parameter, δ (α=2, L/d = 20, Eb/Es =10 and 100).

Figure 10

Variation of the settlement influence factor Isp, with the relative stiffness, Kgp0, for end-bearing granular pile: effect of linear non-homogeneity parameter, α.
Variation of the settlement influence factor Isp, with the relative stiffness, Kgp0, for end-bearing granular pile: effect of linear non-homogeneity parameter, α.

Figure 11

Variation of the settlement influence factor Isp, with the non-homogeneity parameter, α, for end-bearing granular pile: effect of the relative stiffness of the bearing stratum (Eb/Es).
Variation of the settlement influence factor Isp, with the non-homogeneity parameter, α, for end-bearing granular pile: effect of the relative stiffness of the bearing stratum (Eb/Es).

Figure 12

Variation of the settlement influence factor, Isp, with the linear non-homogeneity parameter, α, for end-bearing granular pile: effect of L/d (δ=0 and 2).
Variation of the settlement influence factor, Isp, with the linear non-homogeneity parameter, α, for end-bearing granular pile: effect of L/d (δ=0 and 2).

Figure 13

Variation of the settlement influence factor, Isp, with the linear non-homogeneity parameter, α, for end-bearing granular pile: effect of L/d (Eb/Es =10, Kgp0=100).
Variation of the settlement influence factor, Isp, with the linear non-homogeneity parameter, α, for end-bearing granular pile: effect of L/d (Eb/Es =10, Kgp0=100).

Figure 14

Variation of the settlement influence factor Isp, with the non-linear non-homogeneity parameter, δ, for end-bearing granular pile: effect of relative length, L/d (Eb/Es =100).
Variation of the settlement influence factor Isp, with the non-linear non-homogeneity parameter, δ, for end-bearing granular pile: effect of relative length, L/d (Eb/Es =100).

Figure 15

Variation of the settlement influence factor Isp wish the non-linear non-homogeneity parameter, δ, for end-bearing granular pile: effect of L/d (Kgp0=50, Eb/Es =100).
Variation of the settlement influence factor Isp wish the non-linear non-homogeneity parameter, δ, for end-bearing granular pile: effect of L/d (Kgp0=50, Eb/Es =100).

Figure 16

Variation of settlement influence factor Isp, with non-linear non-homogeneity parameter,δ, for end-bearing granular pile: effect of L/d (Kgp0=100, Eb/Es=10).
Variation of settlement influence factor Isp, with non-linear non-homogeneity parameter,δ, for end-bearing granular pile: effect of L/d (Kgp0=100, Eb/Es=10).

Figure 17

Variation of the settlement influence factor with relative stiffness of bearing stratum (Kgp0 = 50).
Variation of the settlement influence factor with relative stiffness of bearing stratum (Kgp0 = 50).

Figure 18

Variation of the settlement influence factor with relative stiffness of bearing stratum (Kgp0 = 100).
Variation of the settlement influence factor with relative stiffness of bearing stratum (Kgp0 = 100).

Figure 19

Variation of the settlement influence factor, Isp with relative stiffness, Eb/Es, of the bearing stratum (α=2).
Variation of the settlement influence factor, Isp with relative stiffness, Eb/Es, of the bearing stratum (α=2).

Figure 20

Variation of shear stress with depth with effect of linear non-homogeneity parameter, α (L/d =10)
Variation of shear stress with depth with effect of linear non-homogeneity parameter, α (L/d =10)

Figure 21

Variation of shear stress with depth with effect of linear non-homogeneity parameter, α (L/d =20).
Variation of shear stress with depth with effect of linear non-homogeneity parameter, α (L/d =20).

Figure 22

Variation of shear stress with depth with effect of linear non-homogeneity parameter, α (δ=2).
Variation of shear stress with depth with effect of linear non-homogeneity parameter, α (δ=2).

Figure 23

Variation of shear stress with depth with effect of linear non-homogeneity parameter, α (L/d =20).
Variation of shear stress with depth with effect of linear non-homogeneity parameter, α (L/d =20).

Figure 24

Variation of normalised axial load, Pz* (= Pz/P), with normalised depth z* (= z/L): effect of non-linear non-homogeneity parameter, δ (α=0).
Variation of normalised axial load, Pz* (= Pz/P), with normalised depth z* (= z/L): effect of non-linear non-homogeneity parameter, δ (α=0).

Figure 25

Variation of normalised axial load, Pz* (= Pz/P), with normalised depth z* (= z/L):effect of non-linear non-homogeneity parameter, α (δ=2).
Variation of normalised axial load, Pz* (= Pz/P), with normalised depth z* (= z/L):effect of non-linear non-homogeneity parameter, α (δ=2).

Figure 26

Variation of the percentage base load,(Pb/P) × 100, with the relative stiffness parameter, Kgp0: effect of the linear non-homogeneity parameter, α (Eb/Es =10, δ=0).
Variation of the percentage base load,(Pb/P) × 100, with the relative stiffness parameter, Kgp0: effect of the linear non-homogeneity parameter, α (Eb/Es =10, δ=0).

Figure 27

Variation of the percentage base load,(Pb/P) × 100, with the relative stiffness parameter, Kgp0: effect of the linear nonhomogeneity parameter, α (δ=2).
Variation of the percentage base load,(Pb/P) × 100, with the relative stiffness parameter, Kgp0: effect of the linear nonhomogeneity parameter, α (δ=2).

Figure 28

Variation of percentage base load,(Pb/P) × 100, with relative stiffness of the bearing stratum, Eb/Es, for different values of the non-linear non-homogeneity parameter,δ(α=0).
Variation of percentage base load,(Pb/P) × 100, with relative stiffness of the bearing stratum, Eb/Es, for different values of the non-linear non-homogeneity parameter,δ(α=0).

Figure 29

Variation of percentage base load,(Pb/P) × 100, with relative stiffness of the bearing stratum, Eb/Es, for the non-linear non-homogeneity parameter,δ (α=2).
Variation of percentage base load,(Pb/P) × 100, with relative stiffness of the bearing stratum, Eb/Es, for the non-linear non-homogeneity parameter,δ (α=2).

Validation of results with those of Mattes and Poulos [1] and Poulos and Mattes [2]_

ParametersSettlement influence factor (Isp)References
(a) End-bearing pile0.0776[1, 2]
L/d = 10, Kgp0 = 100,
Vs = 0.5, Eb/Es = 100
(b) End-bearing pile0.07756Present analysis
L/d = 10, Kgp0 = 100,
Vs = 0.5, Eb/Es = 100
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