Have a personal or library account? Click to login

An Analytical Study of Partially Strengthened Single End-Bearing Granular Pile Near the Top and Bottom

Studia Geotechnica et Mechanica
Volume 43 (2021): Issue 2 (June 2021)
By:
Open Access
|Jun 2021

Figures & Tables

Figure 1

(a) Plan of strengthened end bearing GP (b) Sectional elevation at 1–1 of a single strengthened end bearing GP, subjected to load F, revealing strengthening effect. (c) Problem description sketch, development of interfacial shear stresses on soil due to a single strengthened end-bearing GP.
(a) Plan of strengthened end bearing GP (b) Sectional elevation at 1–1 of a single strengthened end bearing GP, subjected to load F, revealing strengthening effect. (c) Problem description sketch, development of interfacial shear stresses on soil due to a single strengthened end-bearing GP.

Figure 2

Basic mirror image methodology for GP.
Basic mirror image methodology for GP.

Figure 3

Variation of displacement affecting component for the top of GP, DT, with strengthening factor for the top, χt, or strengthening factor for the bottom, χb. Impact of the relative stiffness of GP, Kp; PLST of GP, ηt; PLSB of GP, ηb; and relative stiffness of bearing stratum, Ebs/Ess, on a single partially strengthened GP(Lg/Dg=10, ηt or ηb=10%).
Variation of displacement affecting component for the top of GP, DT, with strengthening factor for the top, χt, or strengthening factor for the bottom, χb. Impact of the relative stiffness of GP, Kp; PLST of GP, ηt; PLSB of GP, ηb; and relative stiffness of bearing stratum, Ebs/Ess, on a single partially strengthened GP(Lg/Dg=10, ηt or ηb=10%).

Figure 4

Variation of displacement affecting component for the top of GP, DT, with strengthening factor for the top, χt, or strengthening factor for the bottom, χb. Impact of the relative stiffness of GP, Kp; PLST of GP, ηt; PLSB of GP, ηb; and relative stiffness of bearing stratum, Ebs/Ess, on a single partially strengthened GP (Lg/Dg=10, ηt or ηb=20%).
Variation of displacement affecting component for the top of GP, DT, with strengthening factor for the top, χt, or strengthening factor for the bottom, χb. Impact of the relative stiffness of GP, Kp; PLST of GP, ηt; PLSB of GP, ηb; and relative stiffness of bearing stratum, Ebs/Ess, on a single partially strengthened GP (Lg/Dg=10, ηt or ηb=20%).

Figure 5

Variation of displacement affecting component for the top of GP, DT, with strengthening factor for the top, χt, or strengthening factor for the bottom, χb. Impact of the relative stiffness of GP, Kp; PLST of GP, ηt; PLSB of GP, ηb; and relative stiffness of bearing stratum, Ebs/Ess, on a single partially strengthened GP (Lg/Dg=10, ηt or ηb=30%).
Variation of displacement affecting component for the top of GP, DT, with strengthening factor for the top, χt, or strengthening factor for the bottom, χb. Impact of the relative stiffness of GP, Kp; PLST of GP, ηt; PLSB of GP, ηb; and relative stiffness of bearing stratum, Ebs/Ess, on a single partially strengthened GP (Lg/Dg=10, ηt or ηb=30%).

Figure 6

Variation of displacement affecting component for the top of GP, DT, with strengthening factor for the top, χt or strengthening factor for the bottom, χb, such that χt= χb. Impact of the relative stiffness of GP, Kp; PLST of GP, ηt; PLSB of GP, ηb; on a single partially strengthened GP (Lg/Dg=10, Ebs/Ess=100).
Variation of displacement affecting component for the top of GP, DT, with strengthening factor for the top, χt or strengthening factor for the bottom, χb, such that χt= χb. Impact of the relative stiffness of GP, Kp; PLST of GP, ηt; PLSB of GP, ηb; on a single partially strengthened GP (Lg/Dg=10, Ebs/Ess=100).

Figure 7

Variation of displacement affecting component for the top of GP, DT, with strengthening factor for the top, χt, or strengthening factor for the bottom, χb such that χt= χb. Impact of the relative stiffness of GP, Kp; PLST of GP, ηt; PLSB of GP, ηb; on a single partially strengthened GP (Lg/Dg=10, Ebs/Ess =100).
Variation of displacement affecting component for the top of GP, DT, with strengthening factor for the top, χt, or strengthening factor for the bottom, χb such that χt= χb. Impact of the relative stiffness of GP, Kp; PLST of GP, ηt; PLSB of GP, ηb; on a single partially strengthened GP (Lg/Dg=10, Ebs/Ess =100).

Figure 8

Variation of displacement affecting component for the top of GP, DT, with strengthening factor for the top, χt or strengthening factor for the bottom, χb, such that χt=χb. Impact of the relative stiffness of GP, Kp; PLST of GP, ηt; PLSB of GP, ηb; on a single partially strengthened GP (Lg/Dg=10, Ebs/Ess =100)
Variation of displacement affecting component for the top of GP, DT, with strengthening factor for the top, χt or strengthening factor for the bottom, χb, such that χt=χb. Impact of the relative stiffness of GP, Kp; PLST of GP, ηt; PLSB of GP, ηb; on a single partially strengthened GP (Lg/Dg=10, Ebs/Ess =100)

Figure 9

Variation of displacement affecting component for the top of GP, DT, with strengthening factor for the top, χt, or strengthening factor for the bottom, χb. Impact of the relative length of GP, Lg/Dg; PLST of GP, ηt; PLSB of GP, ηb; and relative stiffness of bearing stratum, Ebs/Ess, on a single partially strengthened GP (Kp=50, ηt=ηb=20%)
Variation of displacement affecting component for the top of GP, DT, with strengthening factor for the top, χt, or strengthening factor for the bottom, χb. Impact of the relative length of GP, Lg/Dg; PLST of GP, ηt; PLSB of GP, ηb; and relative stiffness of bearing stratum, Ebs/Ess, on a single partially strengthened GP (Kp=50, ηt=ηb=20%)

Fig. 10

Variation of PLTB of GP, (Fb/F)×100 with strengthening factor for the top, χt, or strengthening factor for the bottom, χb. Impact of the relative stiffness of GP, Kp, and relative stiffness of bearing stratum, Ebs/Ess, on a single partially strengthened GP (Lg/Dg=10, ηt or ηb=10%)
Variation of PLTB of GP, (Fb/F)×100 with strengthening factor for the top, χt, or strengthening factor for the bottom, χb. Impact of the relative stiffness of GP, Kp, and relative stiffness of bearing stratum, Ebs/Ess, on a single partially strengthened GP (Lg/Dg=10, ηt or ηb=10%)

Figure 11

Variation of PLTB of GP, (Fb/F) ×100 with strengthening factor for the top, χt, or strengthening factor for the bottom, χb. Impact of relative stiffness of GP, Kp, and relative stiffness of bearing stratum, Ebs/Ess, on a single partially strengthened GP (Lg/Dg=10, ηt or ηb=20%).
Variation of PLTB of GP, (Fb/F) ×100 with strengthening factor for the top, χt, or strengthening factor for the bottom, χb. Impact of relative stiffness of GP, Kp, and relative stiffness of bearing stratum, Ebs/Ess, on a single partially strengthened GP (Lg/Dg=10, ηt or ηb=20%).

Figure 12

Variation of PLTB of GP, (Fb/F)×100 with strengthening factor for the top, χt, or strengthening factor for the bottom, χb. Impact of the relative stiffness of GP, Kp, and relative stiffness of bearing stratum, Ebs/Ess, on a single partially strengthened GP (Lg/Dg=10, ηt or ηb=30%).
Variation of PLTB of GP, (Fb/F)×100 with strengthening factor for the top, χt, or strengthening factor for the bottom, χb. Impact of the relative stiffness of GP, Kp, and relative stiffness of bearing stratum, Ebs/Ess, on a single partially strengthened GP (Lg/Dg=10, ηt or ηb=30%).

Figure 13

Variation of PLTB of GP, (Fb/F)×100 with strengthening factor for the top, χt, or strengthening factor for the bottom, χb, such that χt= χb. Impact of the relative stiffness of GP, Kp; PLST of GP, ηt; PLSB of GP, ηb; on a single partially strengthened GP (Lg/Dg=10, Ebs/Ess=100).
Variation of PLTB of GP, (Fb/F)×100 with strengthening factor for the top, χt, or strengthening factor for the bottom, χb, such that χt= χb. Impact of the relative stiffness of GP, Kp; PLST of GP, ηt; PLSB of GP, ηb; on a single partially strengthened GP (Lg/Dg=10, Ebs/Ess=100).

Figure 14

Variation of PLTB of GP, (Fb/F)×100 with strengthening factor for the top, χt, or strengthening factor for the bottom, χb, such that χt= χb. Impact of the relative stiffness of GP, Kp; PLST of GP, ηt; PLSB of GP, ηb; on a single partially strengthened GP (Lg/Dg=10, Ebs/Ess=100).
Variation of PLTB of GP, (Fb/F)×100 with strengthening factor for the top, χt, or strengthening factor for the bottom, χb, such that χt= χb. Impact of the relative stiffness of GP, Kp; PLST of GP, ηt; PLSB of GP, ηb; on a single partially strengthened GP (Lg/Dg=10, Ebs/Ess=100).

Figure 15

Variation of NSS, τ*E= τ(πDgLg)/F with normalized depth, z*g=zg/Lg. Impact of strengthening factor for the top, χt, or strengthening factor for bottom, χb, on a single partially strengthened GP (Lg/Dg=10, Kp=100, ηt=20%, ηb=20%, Ebs/Ess=100).
Variation of NSS, τ*E= τ(πDgLg)/F with normalized depth, z*g=zg/Lg. Impact of strengthening factor for the top, χt, or strengthening factor for bottom, χb, on a single partially strengthened GP (Lg/Dg=10, Kp=100, ηt=20%, ηb=20%, Ebs/Ess=100).

Figure 16

Variation of NSS, τ*E= τ(πDgLg)/F with normalized depth, z*g=zg/Lg. Impact of strengthening factor for the top, χt, or strengthening factor for bottom, χb, on a single partially strengthened GP (Lg/Dg=10, Kp=100, ηt=30%, ηb=30%, Ebs/Ess=100).
Variation of NSS, τ*E= τ(πDgLg)/F with normalized depth, z*g=zg/Lg. Impact of strengthening factor for the top, χt, or strengthening factor for bottom, χb, on a single partially strengthened GP (Lg/Dg=10, Kp=100, ηt=30%, ηb=30%, Ebs/Ess=100).

Validation of results_

Variables verifiedLg/DgKp and Ebs/EssResults of Poulos and Mattes [20]Present analysis with (χt=χb=1)
DACT (DT) of GP25100 and 100.540.539
25100 and 1000.510.508
25100 and 10000.490.489
20100 and 1000000.090.0899
DOI: https://doi.org/10.2478/sgem-2021-0010 | Journal eISSN: 2083-831X | Journal ISSN: 0137-6365
Journal RSS Feed
Language: English
Page range: 99 - 115
Submitted on: Nov 5, 2020
Accepted on: Apr 22, 2021
Published on: Jun 30, 2021
Published by: Wroclaw University of Science and Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
granular pile,
DACT of GP,
NSS,
PLTB of GP,
reinforced stone columns,
end-bearing GP
Related subjects:
Geosciences,
Geosciences, other,
Materials sciences,
Composites,
Porous materials,
Physics,
Mechanics and fluid dynamics

© 2021 Vaibhaw Garg, Jitendra Kumar Sharma, Ashish Solanki, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution 4.0 License.

Previous articleVolume 43 (2021): Issue 2 (June 2021)Next article