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Categoría del artículo: Original Study
Publicado en línea: 22 jun 2024
Páginas: 164 - 175
DOI: https://doi.org/10.2478/sgem-2024-0010
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© 2024 Paweł Siemaszko, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
Figure 1:
![Graphical description of the loads acting on a pile in the presented approach. D – Pile diameter [m]; h – Pile length [m]; N2 – Load acting on the head of the pile [N]; N1 – Soil reaction at the toe [N]; T – Pile skin resistance [N]; s2,1 – Settlement value of the head and base of the pile [mm]; σ1 – Stress under the base of the pile [Pa]; τ – Stress acting on the skin of the pile, representing the skin resistance [Pa]; l – Arm of the soil deformation according to Kirchhoff's principle [m].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a3e4e662f30ba53f8da/j_sgem-2024-0010_fig_001.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T083317Z&X-Amz-Expires=3600&X-Amz-Signature=d221d59b914beaed14bd985f24d96b23abf8fbff08a4fc67ed6e1b1c6befa78c&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 2:

Figure 3:

Figure 4:

Figure 5:
![Distribution of the axial force along the pile shaft and deformation of the pile shaft measured during the static load test with extensometers [36].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a3e4e662f30ba53f8da/j_sgem-2024-0010_fig_005.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T083317Z&X-Amz-Expires=3600&X-Amz-Signature=a2d7ac35a6088214ab75d1a1b0f03d8f4c70786a3e3a49a0d7b83b9b40cb655c&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 6:

Figure 7:
![CPTu investigation results for Pile 1 [27].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a3e4e662f30ba53f8da/j_sgem-2024-0010_fig_007.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T083317Z&X-Amz-Expires=3600&X-Amz-Signature=ba12f76e3841828f20693d66deba61c145dd518d3264d46e3d95fcc4a12d73c6&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 8:
![CPTu investigation results for Pile 2 [27].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a3e4e662f30ba53f8da/j_sgem-2024-0010_fig_008.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T083317Z&X-Amz-Expires=3600&X-Amz-Signature=e7a1aade7ce8bd46dadb76fd0e63ba343334516ed83d36f08e7b1d2e1546747f&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 9:
![Example of the M–K curve graph [20].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a3e4e662f30ba53f8da/j_sgem-2024-0010_fig_009.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T083317Z&X-Amz-Expires=3600&X-Amz-Signature=f34d2c88c816aad44da9ef91aaed7204f402f345c3d20cf8f5b5c1c8297b728a&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 10:

Figure 11:
![Relationship between the load acting on the head of the pile and the shear stress at the head level (τ2) and base level (τ1) for the pile taken from Heyki 1 [by author].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a3e4e662f30ba53f8da/j_sgem-2024-0010_fig_011.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T083317Z&X-Amz-Expires=3600&X-Amz-Signature=ad330f920736c9ab2dd0f5343f9779a4e5f0bf9cb95908dcfef03ca88117a857&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 12:
![Relationship between the load acting on the head of the pile and the shear stress at the head level (τ2) and base level (τ1) for the pile taken from Heyki 2 [by author].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a3e4e662f30ba53f8da/j_sgem-2024-0010_fig_012.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T083317Z&X-Amz-Expires=3600&X-Amz-Signature=40b866cca1b689c93ec019dae30cfaca3912ca354a308040a26671c4fdc4882d&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 13:
![Soil under and around the pile base forming a sphere, where the parameters vary significantly [22, 28].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a3e4e662f30ba53f8da/j_sgem-2024-0010_fig_013.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T083317Z&X-Amz-Expires=3600&X-Amz-Signature=9bfd73c15b647c6042f771f8bdaeab7fab698079c6d4deccc4d735f74ac3683c&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 14:

Load–settlement values obtained from the static load test; Pile Heyki 1_
s [mm] | 0,00 | 0,57 | 1,14 | 1,86 | 2,64 | 3,69 | 4,82 | 6,54 | 8,38 | 10,83 | 13,38 | 16,41 | 20,28 | 26,08 |
Load–settlement values obtained from static load test for Pile Heyki 2_
s [mm] | 0,00 | 0,71 | 1,27 | 1,88 | 2,57 | 3,49 | 4,48 | 6,04 | 7,77 | 10,24 | 13,24 | 16,13 | 19,59 | 23,20 | 27,14 | 31,73 | 36,42 |
Geotechnical parameters of the soil profile [27]_
0,0 | |||||||||||||
1,8 | Mg(hgrcFSa) | nN(Pd+H+c+ż) | 2,20 | 35 | 20 | - | 2,19 | 0,02 | - | 29° 30′ | - | - | 9,5 |
2,3 | Mg(grchclSa) | nN(Pg+H+c+ż) | 1,30 | 42 | - | 0,54 | 1,27 | 0,01 | 11,1 | 22° 10′ | 6 | 98 | 9,2 |
2,5 | Mg(grchFSa) | nN(Pd+H+c+ż) | 2,20 | 57 | 15 | - | 2,14 | 0,00 | - | 29° | - | - | 9,4 |
3,8 | Or(Nm) | Nm | 0,45 | 92 | - | 0,50 | 0,38 | 0,04 | 3,7 | 13° 10′ | 3 | 20 | 1,1 |
6,6 | Or(Nm) | Nm | 0,65 | 117 | - | 0,60 | 0,58 | 0,12 | 5,1 | 15° 50′ | 4 | 31 | 2,5 |
7,0 | Or(Nmp)/HFSa | Nmp/PdH | 1,10 | 133 | - | 0,44 | 1,00 | 0,01 | 6,8 | 18° 50′ | 5 | 71 | 7,9 |
8,2 | FSa | Pd | 3,30 | 149 | 20 | - | 3,18 | 0,00 | - | 29° 20′ | - | - | 14,2 |
8,6 | FSa | Pd/Ps | 6,40 | 177 | 40 | - | 6,25 | 0,00 | - | 32° 10′ | - | - | 28,4 |
11,1 | FSa | Pd | 13,20 | 208 | 65 | - | 13,03 | 0,00 | - | 35° 10′ | - | - | 64,9 |
11,8 | FSa | Pd | 7,30 | 220 | 40 | - | 7,12 | 0,00 | - | 32° 20′ | - | - | 32,4 |
12,4 | saSi | Πp | 2,60 | 236 | - | 0,74 | 2,40 | 0,00 | 11,1 | 22° 10′ | 7 | 171 | 21,8 |
13,3 | FSa | Pd | 7,00 | 250 | 35 | - | 6,80 | 0,00 | - | 31° 50′ | - | - | 31,1 |
13,8 | FSa | Pd | 11,10 | 268 | 55 | - | 10,88 | 0,00 | - | 33° 50′ | - | - | 54,6 |
15,2 | saSi/siSa | Πp/Pπ | 3,40 | 292 | - | 0,82 | 3,17 | 0,00 | 12,2 | 22° 50′ | 7 | 226 | 28,5 |
16,2 | FSa/MSa | Pd/Ps | 14,00 | 320 | 60 | - | 13,74 | 0,00 | - | 34° 30′ | - | - | 70,3 |
18,0 | FSa | Pd | 7,00 | 342 | 30 | - | 6,73 | 0,00 | - | 31° | - | - | 31,2 |
18,4 | FSa | Pd | 10,50 | 353 | 45 | - | 10,22 | 0,00 | - | 33° | - | - | 51,8 |
19,1 | FSa/MSa | Pd/Ps | 15,40 | 400 | 60 | - | 15,08 | 0,00 | - | 34° 30′ | - | - | 75,9 |
Equation (42) results, left side and right side_
Pile 1 | 0,83 | 0,803 |
Pile 2 | 0,85 | 0,84 |