This article was published in Ukrainian language in Scientific and Technical Journal: New Technologies in
Construction, NDIBV, Kyiv, 23-24(1-2):68-73, 2012
Plaxis Simulation of Static Pile Tests and Determination of Reaction Piles
Influence Serhii Lozovyi1, Evhen Zahoruiko1
1Department of Geoсоnstruction and Mining Technologies, National Technical University of Ukraine “Kyiv
Polytechnic Institute”, Borshhaghivsjka str.115/3, Kyiv 03056, Ukraine
Abstract: Finite element simulations of four pile static tests were performed using Plaxis 3D. In addition,
calculations of pile settlements according to Ukrainian and USSR building codes were performed. These
results compared to full-scale pile tests. In order to determine the influence of reaction piles on the test pile
response in a static load test were performed simulations with group of reaction piles around tested pile and
applied respective negative loads. Plaxis and in situ measured load-displacement curves showed good
correlation. Recommendations for Plaxis modeling were given.
Keywords: Plaxis 3D, simulation, piles, bearing capacity, load-displacement curves, calculation methods.
The problem and its connection with scientific and practical tasks. Before the construction of buildings
and structures, where piles are used as foundation, it is required to carry out at least two in-situ static pile
tests according to Ukrainian building code. Existing methods of calculating the bearing capacity and
settlements of pile foundations, required in building code is rather cumbersome and take a lot of time on
their conduct. Simulation of pile foundations testing using computer program Plaxis 3D Foundation reduces
time for calculation of pile settlement. This method allow to simulate pile groups with reaction piles and
determine their optimal length and diameter, to simulate pile static tests in different parts of the construction
site in a variety of soil conditions in order to reduce time and money spent on arranging pile groups and
testing.
Analysis of researches and publications. In recent years, methods of calculation, design and construction
of pile foundations have reached substantial progress. Scientists in collaboration with specialists in design
and construction organizations have generalized accumulated experience of pile installation in different soil
conditions, have conducted a large amount of experimental and theoretical studies, and have developed
new or improved existing methods of calculation and design of pile foundations. One of the big
contributions in Ukraine became the new DBN (Ukrainian State building code) V.2.1-10-2009
"Foundations of buildings" with change 1. Substantial contribution to the design and calculation of pile
foundations do foreign scientists, including the creation of the program Plaxis 3D Foundation and
publications in the exploration of its possibilities [1-3].
Research task. The aim of this work is to study new methods of pile foundations modeling using Plaxis
3D Foundation, determination of pile settlements, reaction piles influence on test pile, and comparison of
results with the methods of calculating the bearing capacity and pile settlement in accordance with DBN
V.2.1-10-2009 "Foundations of buildings" and SNIP (USSR State building code) 2.02.03-85 "Pile
foundations"
Main part and results. As initial data for the study was taken results of four static pile tests. Initial data
included: drawings and schemes of test construction, all necessary geological data, complete test reports
with load-displacement graphs. Short description for each testing is given below:
Root piles #1 and #2, Ø620 mm, length - 23.5 m, were placed during the construction of apartment
buildings in the residential area of North Osokorky, Darnitskiy district, Kyiv, Ukraine. Tests were
carried out in November 2010.
Root pile #3, Ø620 mm, length - 9 m, was placed during the construction of the parking lot at SE
"International airport "Boryspil", Boryspil, Ukraine. Test was carried out in May 2011.
Steel tube pile #4, Ø1000 mm, length - 25 m, was placed on construction of the new Chernobyl
Nuclear Power Plant sarcophagus “Shelter Object”, Chernobyl, Ukraine. Test - June 2010.
This article was published in Ukrainian language in Scientific and Technical Journal: New Technologies in
Construction, NDIBV, Kyiv, 23-24(1-2):68-73, 2012
Procedure of tests performing presented on Figures 1-2. Physical and mechanical properties of soils and
layout of piles in the groups are presented in Tables 1-4 and Figure 3, respectively.
Figure 1. Boryspil Pile #3 test view
Figure 2. Chernobyl Pile #4 test view
Table 1. Physical and mechanical properties of soils for pile #1. layer Soil Density Permeability Poisson’s ratio Young’s modulus Cohesion Friction angle
# γ k ν E С ϕ
[kN/m3] [m/day] [kPa] [kPa] [ ° ]
1 Reclaimed soil 17,6 10 0,3 16000 1 30
2 Fine sand 18,8 5 0,3 34000 1 31
3 Medium sand 19,5 6 0,3 55000 1 34
4 Sandy loam 17,5 0,5 0,31 8000 7 19
5 Loam 19,5 0,05 0,35 9000 13 17
6 Loam with organic additive 15,5 0,05 0,35 6000 15 17
This article was published in Ukrainian language in Scientific and Technical Journal: New Technologies in
Construction, NDIBV, Kyiv, 23-24(1-2):68-73, 2012
Table 2. Physical and mechanical properties of soils for pile #2. layer Soil Density Permeability Poisson’s ratio Young’s modulus Cohesion Friction angle
# γ k ν E С ϕ
[kN/m3] [m/day] [kPa] [kPa] [ ° ]
1 Reclaimed soil 17,6 10 0,3 16000 1 30
2 Fine sand 18,8 5 0,3 30000 0,1 31
3 Medium sand 19,5 6 0,3 45000 0,1 31
4 Sandy loam 17,5 0,5 0,31 8000 7 19
5 Loam 19,5 0,05 0,35 9000 13 17
6 Loam with organic matter 15,5 0,05 0,35 6000 15 17
Table 3. Physical and mechanical properties of soils for pile #3. layer Soil Density Permeability Poisson’s ratio Young’s modulus Cohesion Friction angle
# γ k ν E С ϕ
[kN/m3] [m/day] [kPa] [kPa] [ ° ]
2 Fine sand 18,5 5 0,3 30000 1 32
3 Loessial sandy loam 16,3 0,5 0,31 17000 30 25
4 Sandy loam 16,5 0,5 0,31 20000 18 25
6 Fine sand 19 5 0,3 40000 1 32
8 Loam 18,5 0,05 0,37 22000 20 18
Table 4. Physical and mechanical properties of soils for pile #4. layer Soil Density Permeability Poisson’s ratio Young’s modulus Cohesion Friction angle
# γ k ν E С ϕ
[kN/m3] [m/day] [kPa] [kPa] [ ° ]
1 Made ground 18 10 0,3 20000 5 30
2 River sand 18 6 0,3 35000 5 33
3 River sand 18 6 0,3 25000 5 33
4 River sand (oozy) 18 4 0,3 5000 18 22
5 Fine sand 17 5 0,3 45000 3 22
6 Oozy sand 17 4 0,3 8000 4 32
7 Medium sand 17 5 0,3 13000 3 35
8, 9 Fine and medium sand 17 6 0,3 13000 3 33
10 Clay marl 15,3 0,005 0,35 80000 38 23
Figure 3. Geological section with the schemes of placing piles in groups.
This article was published in Ukrainian language in Scientific and Technical Journal: New Technologies in
Construction, NDIBV, Kyiv, 23-24(1-2):68-73, 2012
Were calculated bearing capacity of three root piles (№1, 2, 3) according to DBN V.2.1-10-2009 and
SNIP 2.02.03-85, also were calculated pile settlements from static loads according to the layer-by-layer
summing method from DBN V.2.1-10-2009.
The result of pile foundations testing simulations using computer program Plaxis 3D Foundation are load-
displacement plots, these results are compared with the results obtained during the full-scale pile static tests
on the graphs - Fig. 4-7. Also shown the correlation coefficients separately for pile loading and unloading.
The red curves show displacements in simulation using the finite element program Plaxis. The blue curves
show displacements determined in full-scale static tests.
To simulate soils in Plaxis was used elastic-plastic Mohr-Coulomb model.
Figure 4. Load-displacement curves for pile #1.
Figure 5. Load-displacement curves for pile #2.
Figure 6. Load-displacement curves for pile #3.
0 0 -0,25 -0,59 -0,99-1,54
-2,29-3,21
-4,39
-5,71
-7,19
-9,28
-9,88-9,88-9,82-9,68-9,31
-8,72-7,87
0-0,90
-1,40-2,13
-2,80-3,55
-4,30-5,10
-5,97-6,94
-8,04
-9,37-9,73
-9,33-8,71
-7,98-7,17
-6,27-5,19
-12
-10
-8
-6
-4
-2
0
0 500 1000 1500 2000 2500 3000
In situ measurements Plaxis simulationdisplacement, mm
load, kN
0,00 0,00 -0,16 -0,53 -1,06-2,05
-3,38
-4,87
-6,98
-8,82
-11,00
-13,65-14,35-14,35-14,26-14,01-13,52
-12,75-11,64
0-0,84
-1,86-2,82
-3,86-5,06
-6,08-7,31
-8,59-9,95
-12-13
-14-14-13
-12-11
-10-8,98
-16
-14
-12
-10
-8
-6
-4
-2
0
0 500 1000 1500 2000 2500 3000
In situ measurements Plaxis simulationdisplacement, mm
load, kN
0 -0,3 -1,6-4,3
-8-11,5
-15,1
-19,7
-24,8
-30,4-34,2
0 -0,9 -2 -3,1 -4,5 -5,9-8
-12
-19
-26-29-28
-27-26-25-24-23
-40
-30
-20
-10
0
0 500 1000 1500 2000 2500
In situ measurements Plaxis simulation
load, kN
displacement, mm
Correlation
Loading 0.97
Unloading 0.94
Correlation
Loading 0.97
Unloading 0.94
Correlation
Loading 0.97
Unloading -
This article was published in Ukrainian language in Scientific and Technical Journal: New Technologies in
Construction, NDIBV, Kyiv, 23-24(1-2):68-73, 2012
Figure 7. Load-displacement curves for pile #4.
Comparison of results full-scale tests, calculated bearing capacities according to DBN V.2.1-10-2009 and
SNIP 2.02.03-85, and Plaxis 3D Foundation program are shown in Table 5. Also compared pile
displacements from in situ results, Plaxis, and DBN V.2.1-10-2009.
Table 5. Comparison of results.
Pile #
Pile bearing
capacity according to
DBN V.2.1-
10-2009, kN
Pile bearing capacity
according to
SNIP 2.02.03-85,
kN
Pile bearing
capacity according to
full-scale tests,
kN
Maximum pile
displacement
during full-scale tests, mm
Pile displacement
calculated
according to DBN V.2.1-
10-2009, mm
Maximum pile
displacement during
Plaxis simulation tests, mm
1 2725 2089 2207,5 -9,88 -8,03 -9,73
2 2808,5 2146 2207,5 -14,35 -11,06 -13,65
3 1297 1056 1737 -34,20 -32,62 -30,40
4 -117,10 -120,00
Figure 8. Distribution of deformations in soil at pile #1 static tests simulation.
0,00 -1,23 -3,24 -6,35 -9,70-15,57
-28,36
-47,00
-69,63-69,63
-117,10-114,18-109,79-102,96
-96,61
0,00 -4,70-9,70
-16,00-24,00
-32,00-39,00
-48,00-64,00
-120,00-119,00-116,00-113,00-111,00
-140
-120
-100
-80
-60
-40
-20
0
0 1000 2000 3000 4000 5000 6000 7000 8000 9000
In situ measurements Plaxis simulationdisplacement, mm
load, kN
Correlation
Loading 0.98
Unloading 0.99
This article was published in Ukrainian language in Scientific and Technical Journal: New Technologies in
Construction, NDIBV, Kyiv, 23-24(1-2):68-73, 2012
Figure 9. Distribution of deformations in soil at pile #3 static tests simulation.
Simulation modeling of four piles static tests performed in the program Plaxis 3D Foundation resulted in
the load-displacement graphs. Curves obtained in simulation are compared with graphs of full-scale static
tests. The average correlation coefficient is 0.98, and the average difference between maximum values of
settlement is 5%, indicating a high reliability of the data obtained in the simulation.
The accuracy of calculation using program Plaxis 3D is better than layer-by-layer summing method
according to DBN V.2.1-10-2009. The average deviation of DBN results from full-scale tests is 15.7%.
The deformations distribution were almost the same for pile #1 and #2, so were presented only for pile #1.
As seen from fig. 8 reaction piles are shorter then main pile and we can observe their displacement in
upward direction, which is unacceptable. The correct design of reaction piles on fig.9 for pile #3 shows that
there is no displacement for these piles, only the main pile goes down.
Conclusions. The obtained results allow to recommend Plaxis 3D Foundation in simulation static pile tests
in different soil conditions of the construction site to reduce costs for additional field tests, calculation of
bearing capacity and pile settlement calculations, plotting load-displacement curves.
In addition, simulation-modeling program Plaxis 3D Foundation allows to reduce time for design and
calculation of pile foundations, increase efficiency, reliability, and informativeness of calculations, reduce
the cost of performing additional field tests, and to determine the optimal size of the main and reaction piles
for the tests. Plaxis makes possible to conduct simulation modeling of required number of pile static load
tests in different parts of the construction site and in different soil conditions. The results of Plaxis
simulation should be considered valid only when performed two required full-scale tests and they match
the simulation results.
References.
1. 3D Foundation Version 1.5. Edited by R.B.J. Brinkgreve and W. Broere, Delft University of
Technology & PLAXIS bv, The Netherlands.
2. «Numerical simulations and parametric study of SDCM and DCM piles under full scale axial and
lateral loads as well as under embankment load», Author: D.T. Bergado , T. Suksawat , P.
Jamsawang , P. Voottipruex, April, 2010.
This article was published in Ukrainian language in Scientific and Technical Journal: New Technologies in
Construction, NDIBV, Kyiv, 23-24(1-2):68-73, 2012
3. «FE-Analysis of piled and piled raft foundations», Author: J. S. Lebeau, August, 2008.
4. DBN V.2.1-10-2009 with change №1 “Foundations of buildings” Ministry of Regional
Development of Ukraine, 2011.
5. USSR Building Code SNIP 2.02.03-85 "Pile foundations", 1985.
6. Pile Foundations Design Guide / NIIOSP named after N.M. Gersevanov, USSR State Construction
Committee. - M .: Stroyizdat, 1980.