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Assessment of spread foundation settlement using statistical determination of characteristic values of subsoil properties Cover

Assessment of spread foundation settlement using statistical determination of characteristic values of subsoil properties

Open Access
|May 2025

Figures & Tables

Figure 1:

View of building No. 34 at the campus of the Warsaw University of Life Sciences – SGGW. https://wzim.sggw.edu.pl/wydzial/
View of building No. 34 at the campus of the Warsaw University of Life Sciences – SGGW. https://wzim.sggw.edu.pl/wydzial/

Figure 2:

View of the pad footings of building No. 34 – location of test points: CPT – cone penetration test, DMT – dilatometer test, SG – settlement gauge.
View of the pad footings of building No. 34 – location of test points: CPT – cone penetration test, DMT – dilatometer test, SG – settlement gauge.

Figure 3:

Profiles of cone resistance qc, sleeve friction fs, and friction ratio Rf from CPT.CPTs = cone penetration tests
Profiles of cone resistance qc, sleeve friction fs, and friction ratio Rf from CPT.CPTs = cone penetration tests

Figure 4:

Profiles of material index ID, horizontal stress index KD, and dilatometer modulus ED from DMT.DMTs = dilatometer tests
Profiles of material index ID, horizontal stress index KD, and dilatometer modulus ED from DMT.DMTs = dilatometer tests

Figure 5:

Profiles of cumulative values Σqc from CPTs and cumulative values ΣED from DMTs below the foundation level.CPTs = cone penetration tests, DMTs = dilatometer tests
Profiles of cumulative values Σqc from CPTs and cumulative values ΣED from DMTs below the foundation level.CPTs = cone penetration tests, DMTs = dilatometer tests

Figure 6:

Relationship between factor RM and horizontal stress index KD. R2 = determination coefficient.
Relationship between factor RM and horizontal stress index KD. R2 = determination coefficient.

Figure 7:

Comparison of measured and calculated settlements based on the constrained modulus determined from: a – CPT tests; b – DMT tests.CPTs = cone penetration tests, DMTs = dilatometer tests
Comparison of measured and calculated settlements based on the constrained modulus determined from: a – CPT tests; b – DMT tests.CPTs = cone penetration tests, DMTs = dilatometer tests

Index properties of the analyzed boulder clays and thickness of layers and sublayers_

Properties\thickness Boulder clay (brown) III layerBoulder clay (gray) IV layerIVa (m)IVb (m)IVc (m)
Water content wn (%) 10.0–11.010.5–13.5
Unit density ρ (t·m−3) 2.1–2.22.1–2.2
Liquid limit wL (%) 21.0–24.922.0–26.0
Plasticity index IP (%) 11.0–13.012.0–14.0
Consistency index IC (−) 0.93–1.00.89–0.96
Content of fraction (%):
Sand (0.063–2 mm) Sa 62–6356–59
Silt (0.002–0.063 mm) Si 25–2828–29
Clay (≤0.002 mm) Cl 10–1213–15
The thickness of layers and sublayers below the foundation level (m) (depth of foundation level = 4.4 m below ground level)CPTs0.8–1.05.2
1.21.62.4
DMTs 1.01.82.4

Results of statistical analysis of the dilatometer modulus ED and the constrained modulus M from DMTs_

Test type/measureLayersNumber of determinations n (−)Mean value Xmean (kPa)Min. value Xmin (kPa)Max. value Xmax (kPa)Standard deviation Sx (kPa)Coefficient of variation Vx (−)
DMT: EDIII + IV together13755,52716,214116,59219,6210.353
DMT: M 117,86326,676273,26653,3310.452
DMT: EDIII2085,33616,214116,59220,2870.238
DMT: M 201,71526,676273,26651,7540.257
DMT: EDIV11750,43223,68387,44414,2330.282
DMT: M 103,52940,265205,61938,2770.370
DMT: EDIVa2068,10645,54487,44411,2180.165
DMT: M 157,888105,708205,61926,8000.170
DMT: EDIVb3654,55229,03974,58211,2250.206
DMT: M 115,36252,880164,62127,9860.243
DMT: EDIVc6142,20523,68360,1189,6340.228
DMT: M 78,72440,265117,79221,1110.268

Results of statistical analysis of cone resistance qc and constrained modulus M from CPT_

Test type/measureLayersNumber of determinations n (−)Mean value Xmean (kPa)Min. value Xmin (kPa)Max. value Xmax (kPa)Standard deviation Sx (kPa)Coefficient of variation Vx (−)
CPT: qcIII + IV together10411,0982,50017,0003,6660.333
CPT: M 90,49819,866139,52430,3290.335
CPT: qcIII158,4932,50016,0003,7730.444
CPT: M 69,38419,866131,17531,0930.448
CPT: qcIV8911,5375,20017,0003,4590.300
CPT: M 94,05641,349139,52428,7070.305
CPT: qcIVa2313,8576,60017,0002,7510.199
CPT: M 113,71053,658139,52422,3030.197
CPT: qcIVb3113,66110,00017,0002,1000.154
CPT: M 111,64681,312139,32617,3430.155
CPT: qcIVc358,2175,20013,0001,8720.228
CPT: M 66,42841,349105,99615,5090.233

Characteristic values of the constrained modulus M from CPTs and DMTs and the calculated and measured settlements of pad footing H-16_

Test typeLayersSettlement calculated usingsm (mm)

MmeanBayesian statisticsSchneider's formulaprEN 1997-1:2022-09

Mmean (kPa)Σscal (mm)Mmean (kPa)Σscal (mm)Mk (kPa)Σscal (mm)Vx (−)kn(1 − knVx)Mk (kPa)Σscal (mm)
CPTIII + IV together90,4987.890,4987.875,2619.40.3351.670.44139,91017.77.0
III69,384 50,020 53,292 0.4481.820.18512,840--
IV94,0568.3100,9009.179,62110.20.3051.680.48845,89927.47.0
III69,384 50,020 53,292 0.4481.820.18512,840--
IVa113,043 125,079 101,420 0.1971.750.65574,480--
IVb111,221 115,218 102,460 0.1551.730.73281,410--
IVc66,4288.266,6889.158,5609.60.2331.710.60239,99024.47.0
DMTIII + IV together117,8636.0117,8636.091,1007.80.4521.670.24528,87624.57.0
III201,715 195,768 175,165 0.2571.770.545109,935--
IV103,5295.8104,4415.884,3097.10.3701.670.38239,54814.47.0
III201.715 195,768 175,165 0.2571.770.545109,935--
IVa157,887 154,300 144,139 0.1701.770.699110,364--
IVb115,361 118,200 101,117 0.2431.710.58467,371--
IVc78,7245.381,2415.368,0806.10.2681.680.55043,2989.17.0
DOI: https://doi.org/10.2478/sgem-2025-0010 | Journal eISSN: 2083-831X | Journal ISSN: 0137-6365
Language: English
Page range: 179 - 192
Submitted on: Jun 26, 2024
Accepted on: Dec 13, 2024
Published on: May 12, 2025
Published by: Wroclaw University of Science and Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2025 Simon Rabarijoely, Zbigniew Lechowicz, Maria Jolanta Sulewska, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution 4.0 License.