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RWSGrontmijWitteveen Bos

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Exercise II, Drained Footing Mohr Coulomb. Use same geometry as exercise 1 ... change in material properties drained to undrained. RWS/Grontmij/Witteveen ... – PowerPoint PPT presentation

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Title: RWSGrontmijWitteveen Bos


1
MoU on Soft Soil Engineering1996 - 2001
Regional Teaching Program 2001 Settlements theory
and exercises Republic of Indonesia Kingdom of
the Netherlands RT-08 July 9th - 2001
RWS/Grontmij/WitteveenBos
2
Settlements theory and exercisesContents
  • Settlements phenomena
  • Basic Settlement formulation
  • Fokkens method
  • Consolidation
  • Calculation accuracy

RWS/Grontmij/WitteveenBos
3
Settlements phenomena
  • Settlements due to fill placement
  • Settlement due to widening of embankment
  • Land subsidence
  • Fluctuation of surface and groundwater level
  • Vibration

RWS/Grontmij/WitteveenBos
4
Fill placement/Widening
  • increase of load
  • increase total stresssesw
  • fast loadinggtundrained behaviour
  • increase pore pressure
  • low shear resistance
  • gtfailure

RWS/Grontmij/WitteveenBos
5
Land subsidence
  • Increase of stress due to weight of soil
  • rearrangement of grains
  • decrease of voids
  • increase load on subsoil
  • leads to settlements in subsidencesub-soil

RWS/Grontmij/WitteveenBos
6
Basic settlement formula
  • Anglo Saxon method (BS and NEN)
  • Den Haan-Fokkens methods
  • Consolidation
  • End of consolidation
  • consolidation coefficient with more layers

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7
Anglo Saxon method
Relation compression and logarithm of load
(Terzaghi)
C
the primary Compression Index
-
c
h thickness
m
d
h settlement
m
e0 initial void ratio
-
2
s
initial effective stress
kN/m

0
D
s
2

Increase of effective
stress kN/m

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8
Anglo Saxon method
  • Using compression Ratio CR

RWS/Grontmij/WitteveenBos
9
Unloading-Reloading
l 2.3Cc k 2.3 Cs
RWS/Grontmij/WitteveenBos
10
Secondary compression
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11
Total Settlements
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12
Determine parameters
Oedometer
- consolidation ring - porous plates -
consolidation cell - micrometer dial gauge -
loading device
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13
Oedometer test
According NEN 5118
  • initial load 3.69 kPa
  • doubled every 24 h.
  • Max load 236 kPa (6 load steps)
  • Creep test

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14
Results oedometer test
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15
Fokkens/Den Haan (1)
  • Determine compression of peats
  • relation between Aeging, water content w, organic
    material N content and se
  • Normally consolidated peat
  • use of
  • concept of aeging
  • log. Compression law

RWS/Grontmij/WitteveenBos
16
Fokkens/Den Haan (2)
With w water content after load N
ignition loss (5 h. at 550º) - s effective
stress kN/m2 Den Haan
he ultimate compression wi initial water
content
RWS/Grontmij/WitteveenBos
17
Consolidation (1)
  • Terzaghi consolidation theory
  • homogenious soil
  • fully saturated
  • granular material and water incompressable
  • lin. Correlation compression and stress
  • cv constant
  • small compression compared to thickness layer

RWS/Grontmij/WitteveenBos
18
Consolidation (2)
One dimensional
With
u excess pore water pressure kPa t time
s cv vertical coefficient of
consolidation m2/s z coordinate in z
direction depth m k vertical permeability
coefficient m/s mv vertical coefficient of
volume compressibility m2/kN (w unit weight
of water kN /m2
RWS/Grontmij/WitteveenBos
19
Consolidation (3)
Analytical solution
One-way drainage
Boundary condition Top u0
Two-way drainage
Boundary condition Top and bottom u0
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20
Consolidation (4)
  • Ratio of compression at time t and tfinal,
  • gt defined as Degree of consolidation U

With T time factor
T time factor, - t time duration s a
drainage constant, a 1.0 for one way
drainage, a 0.5 for two way drainage h
layer thickness m
RWS/Grontmij/WitteveenBos
21
Consolidation (5)
Practical end of consolidation U0.994
(T2.0) Consolidation time te
For peat Dte
years (cv10)
years (cv2.5)
For Clay Dte
RWS/Grontmij/WitteveenBos
22
Consolidation (6)
More layers adjusting cv to cv,eq
cv,eq equivalent coefficient of consolidation
for total height m2/s hi thickness of
layer i m cv,I coefficient of
consolidation of layer i m2/s

RWS/Grontmij/WitteveenBos
23
Calculation accuracy
  • Depends on
  • Physical aspects
  • heterogenity of the soil
  • heterogenity of sampling
  • lab and in-situ testing
  • determination of parameters
  • Choice of formulations
  • Modeling aspects
  • geometry and boundary conditions
  • loading and stress distribution

RWS/Grontmij/WitteveenBos
24
Exercises
  • Settlement analysis using
  • Msettle
  • Plaxis
  • hand calculations
  • Exercise I
  • Footing problem (analytical and using FEM)
  • Exercise II
  • Road embankment

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25
Exercise I, Drained Footing
Elastic
Objective Calculate the deformation
RWS/Grontmij/WitteveenBos
26
Exercise I, Drained Footing
  • Geometry input
  • boundary conditions
  • material properties (Elastic)
  • mesh generation
  • initial condition
  • calculations
  • construction of footing
  • apply vertical load
  • apply horizontal load
  • Inspect output

RWS/Grontmij/WitteveenBos
27
Exercise I, Drained Footing
Material properties
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28
Exercise I, Drained Footing
Output
Extreme displacement 28 mm
RWS/Grontmij/WitteveenBos
29
Exercise II, Drained Footing Mohr Coulomb
  • Use same geometry as exercise 1
  • Refine Mesh Global (New)
  • Use Mohr Coulomb model, see table 2 (New)
  • Use 15- noded elements
  • Define load displacement points (New)
  • Only apply vertical force, ?MloadA 500 kN/m

Question Determine the failure load (Bearing
capacity)
Answer
RWS/Grontmij/WitteveenBos
30
Exercise II, Drained Footing MC model
RWS/Grontmij/WitteveenBos
31
Exercise II
  • Analytical solution by Vesic

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32
Exercise III, Undrained footing
Same exercise as II, but now using undrained soil
behaviour Note In Plaxis, change in material
properties drained to undrained
RWS/Grontmij/WitteveenBos
33
Exercise IV Road embankment
  • Objective Calculate final settlements
  • Conditions
  • Fully drained
  • Mohr Coulomb model

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34
Exercise IV, road embankment
Material properties for settlement analysis
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35
Exercise IV, road embankment
  • Geometry input
  • boundary conditions
  • material properties (Drained)
  • mesh generation
  • initial condition
  • calculations
  • initial stress sub-soil
  • build the embankment (drained)
  • Inspect output
  • determine finale settlements

RWS/Grontmij/WitteveenBos
36
End of Settlements
RWS/Grontmij/WitteveenBos
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