BÀI TẬP THỰC HÀNH PLAXIS
Trang 1Trung tâm ĐTTH & Chuyển giao công nghệ Giao Thông Vận Tải
Fax: 08 37360676; Email:ttđtth@gmail.com; Website: www.uct2.edu.vn
TRƯỜNG ĐẠI HỌC GIAO THÔNG VẬN TẢI CƠ SỞ II TRUNG TÂM ĐÀO TẠO THỰC HÀNH VÀ CHUYỂN GIAO CÔNG NGHỆ GIAO THÔNG
- o0o -
BμI TËP THùC HμNH
PHÇN MÒM GEO-SLOPE/W, PLAXIS 2D, PLAXIS 3DF
THÁNG 03-04, NĂM 2011
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PHẦN 1: THỰC HÀNH GEO-SLOPE/W
2.1.1 Defining the problem
To open the GeoStudio SLOPE/W Define module:
Set the working area
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Define soil properties
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Draw regions
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Draw piezometric lines
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Draw entry and exit location
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Display soil properties
Create dynamic sketch text
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Verify the problem
2.1.2 Solving the problem
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2.2.2 Lesson 2 – Bishop’s method of analysis
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2.2.9 Lesson 9 – non-circular slip surfaces
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KHAI BAO TAI TRONG NGOAI
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1 SLIDE Verification Problem #1
2 SLIDE Verification Problem #3
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3 SLIDE Verification Problem #15
4 SLIDE Verification Problem #16
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5 SLIDE Verification Problem #19
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PHẦN 2: THỰC HÀNH PLAXIS 2D
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2 TÍNH TOÁN NỀN BẰNG CỌC XI MĂNG ĐẤT
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3 BÀI 1: TÍNH ỔN ĐỊNH HỐ ĐÀO
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KHAI BÁO VẬT LIỆU
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GIAI ĐOẠN 1
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GIAI ĐOẠN 2
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GIAI ĐOẠN 3
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GIAI ĐOẠN 4
GIAI ĐOẠN 5
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4 TÍNH TOÁN NỀN ĐƯỜNG THEO THỜI GIAN
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5 PHÂN TÍCH ĐƯỜNG HẦM TRONG ĐÔ THỊ
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Trang 78PLAXIS - Finite Element Code for Soil and Rock Analyses
User name : Univ of Transport & Communicatons
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User name : Univ of Transport & Communicatons
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User name : Univ of Transport & Communicatons
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71
72 73
Trang 82PLAXIS - Finite Element Code for Soil and Rock Analyses
User name : Univ of Transport & Communicatons
Page : 1Output : Soil and Interfaces Info - Linear Elastic Step : 24
γsat[kN/m3]15.8
kx[m/day]
0.0000
ky[m/day]
0.0000
kz[m/day]
0.0000
ν[ - ]0.30
Eref[kN/m2]37750.0
Eincr
[kN/m3] 0.0
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User name : Univ of Transport & Communicatons
Page : 2Output : Soil and Interfaces Info - Linear Elastic Step : 24
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User name : Univ of Transport & Communicatons
Page : 1Output : Soil and Interfaces Info - Mohr-Coulomb Step : 24
γsat[kN/m3]15.2
kx[m/day]
2.1500E-3
ky[m/day]
2.1500E-3
kz[m/day]
2.1500E-3
ν[ - ]0.35
Eref[kN/m2]934.6
cref
[kN/m2] 6.9
ϕ
[ ° ] 8.0
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User name : Univ of Transport & Communicatons
Page : 2Output : Soil and Interfaces Info - Mohr-Coulomb Step : 24
cincr
[kN/m3] 0.0
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User name : Univ of Transport & Communicatons
280.00
Np[kN/m]
1E10
Trang 90http://utc2.edu.vn/trungtamdaotao/
Trang 103http://utc2.edu.vn/trungtamdaotao/
Trang 105SAFETY ANALYSIS OF AN EMBANKMENT (LESSON 4)
6-1
6 SAFETY ANALYSIS OF AN EMBANKMENT (LESSON 4)
After the construction of an embankment on soft soil with a high ground water level, an
additional load will be applied very fast As a result of the ‘undrained behaviour’ of the
soil the effective stresses remain low resulting in a low shear strength A consolidation
period is necessary to let the excess pore pressures dissipate so that shear strength of the
soil can increase
The undrained behaviour of the soil will be modelled by an undrained effective stress
analysis with effective parameters instead of undrained strength parameters, as used in
Lesson 3 An undrained effective stress analysis with effective parameters will give a
realistic prediction of pore pressures and can be followed by a consolidation analysis
This lesson concerns the safety analysis of the embankment A safety factor by means of
phi/c-reduction will be calculated for three situations, i.e., when no load has been
applied yet, immediately after applying the load and when a consolidation period has
been considered
The proposed geometry is 90 m long and 30 m wide The embankment is 4.0 m high
The slope at the left has an inclination of 1:4 and the slope at the right has an inclination
of 1:3 Figure 6.1 shows the geometry of the embankment
Objectives:
x Undrained effective stress analysis with effective parameters
x Non-horizontal ground surface
x Non-hydrostatic water conditions
x Triangulate (mesh option)
x Mesh refinement of lines
x Gravity loading
x Consolidation
x Phi/c reduction
x Viewing excess pore pressures
x Viewing incremental displacements
Figure 6.1 Geometry and dimensions of the embankment
25 kN/m 2
4 m
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6.1 GEOMETRY INPUT
The proposed geometry for this exercise is 90 m long and 30 m wide As the ground
surface is non-horizontal, first some geometry lines have to be added to be able to define
this ground surface
x After entering the general settings for this exercise, add a geometry line
between (16.0, 0.0) and (16.0, 30.0), one between (32.0, 0.0) and (32.0, 30.0),
one between (40.0, 0.0) and (40.0, 30.0) and one between (52.0, 0.0) and (52.0,
30.0)
Add a borehole at (32.0, 0.0) and change the y-value of the first layer boundary
to y = 4.0 m and the y-value of the second layer boundary to y = 0.0 m Add two
layer boundaries at y = -0.5 m and y = -10.0 m
x Create both material data sets given in Table 6.1 and assign them to the
appropriate soil layers It is not necessary to enter K0 values as the initial
stresses will be generated by means of gravity loading
Table 6.1 Material properties for the soil layers
Material model Model
Mohr-Coulomb
Coulomb
MohrType of material behaviour Type Drained UnDrained -
-Soil weight above phreatic level Ȗunsat 17 15 kN/m3
Soil weight below phreatic level Ȗsat 20 18 kN/m3
Young’s modulus Eref 1.9·104 2000 kN/m2
Interface reduction factor Rinter Rigid Rigid -
x Uncheck the Hydrostatic box Select the third layer boundary and change the
water pressure to Wpress+ = 0.0 kN/m2 and Wpress- = 0.0 kN/m2 (see Figure
6.2)
x Add a second borehole at position (16.0, 0.0) The borehole will be an exact
copy of the previous one Change the y-value of the first layer boundary to 0.0
m to reduce the thickness of the embankment layer to zero The water
conditions must remain unchanged
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6-3
Figure 6.2 The Borehole window
x Add boreholes to other points and change the values of the first layer boundary
as given in Table 6.2 The water conditions must remain unchanged
Table 6.2 Y-coordinates for the layer boundaries of the boreholes
Open the Work Planes window and change the work plane level to y = 4.0 m
Draw a geometry line from position (36.0, 30.0) to position (36.0, 24.0) and end
at position (40.0, 24.0) to define for the cluster the distributed load
Add a distributed load on a horizontal plane to this cluster
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Mesh generation
The mesh for this example will be of medium coarseness, with a further refinement of
some clusters and the toe of the embankment To generate this mesh, follow these steps:
x From the Mesh menu, choose the Triangulate option PLAXIS 3D FOUNDATION
will now perform a very coarse triangulation of the geometry in the draw area
before the mesh is generated The purpose of this triangulation is to define
planes between geometry points and the model boundaries, where the ground
surface level and the soil layer boundaries of the generated 3D mesh are linearly
interpolated
x Select Global Coarseness from the Mesh menu and set the horizontal as well as
the vertical element distribution to Medium Select the cluster with the
distributed load as well as the cluster representing the steep slope at the right
hand side Hold down the <Shift> key to select multiple clusters Choose Refine
Cluster from the Mesh menu and the Output program will show the generated
2D mesh
x Return to the main draw area, select the geometry line at x = 52.0 m and choose
Refine Line from the Mesh menu
Hint: In particular, for safety analysis a fine mesh is required A mesh that is too
coarse leads to an over-estimation of the safety factor In this example the
current mesh is accepted to avoid excessive calculation times
x Return to the main draw area and generate the 3D mesh (see Figure 6.3) Click
Close to return to the main draw area
Figure 6.3 Preview of the generated 3D mesh
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6-5
6.2 CALCULATIONS
The calculation consists of 6 phases The construction of the embankment itself is not
considered in this exercise; the embankment will already be present during generation of
the initial stresses As the ground surface is not horizontal the initial stresses will be
generated using Gravity loading.
Open the Phases window and check that the calculation type is set to Gravity
loading Select the Parameters tab sheet and make sure the Ignore undrained
behaviour option is checked
Hint: Since the initial stresses are not affected by undrained behaviour, it is
important that undrained behaviour is disabled during Gravity loading This
can be done by selecting Ignore undrained behaviour in the Parameters tab
sheet of the Phases window
> In contrast to the K0 procedure, the calculation of initial stresses by means of
gravity loading results in displacements These displacements are not
realistic, because the embankment is modelled as it appears in reality and the
calculation of the initial stresses should not influence the displacements
computed later in the analysis These unrealistic displacements can be reset to
zero at the start of the next calculation phase by selecting Reset displacements
to zero in the next phase
x Add a new calculation phase In this phase, additional load will be applied on
the embankment Leave the Calculation type to Plastic In the Parameters tab
sheet, make sure the Reset displacements to zero option is checked
x Close the Phases window by clicking the OK button and activate the distributed
load at y = 4.0 m Change the load to -25.0 kN/m2 in y-direction
x Add a new phase and change the Calculation type to Consolidation to simulate
the consolidation process Keep Ultimate time as the Loading input in the
Parameters tab sheet and change the Time interval to 200 days
Hint: By default, all model boundaries are considered to be permeable These
boundary conditions can be modified by clicking the Advanced button in the
General tab sheet In this exercise the default boundary conditions are
adopted
x Add a new calculation phase Change the Calculation type to Phi/c reduction
and select 0 – Initial phase in the Start from phase combo box to perform a
safety analysis when no load has been applied yet In the Parameters tab sheet
change the Additional steps to 40 and make sure the Reset displacements to zero
as well as Delete intermediate steps options are checked
x Add a new phase and change the Calculation type to Phi/c-reduction and select
1 - <Phase 1> in the Start from phase combo box to perform a safety analysis
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immediately after application of the load In the Parameters tab sheet change
the Additional steps to 40 and make sure the Delete intermediate steps option is
checked
x Add a new phase and change the Calculation type to Phi/c-reduction Select 2 -
<Phase 2> in the Start from phase combo box to perform a safety analysis after
consolidation Change the Additional steps to 40 and make sure the Delete
intermediate steps option is checked
Hint: The default value of Additional steps in a Phi/c-reduction calculation is 100
In contrast to a Plastic or Consolidation calculation, the number of additional
steps is always fully executed In most Phi/c-reduction calculations, 100 steps
are sufficient to arrive at a state of failure If not, the number of additional
steps can be increased to a maximum of 1000 If necessary, the number of
additional steps can be decreased to 1
x Close the Phases window
Click the Select points for curves button to open the Output program Select the
tab sheet at y = 4.0 m Select the node on the crest of the embankment at (40.0,
4.0, 30.0) by just clicking once (see Figure 6.4 ) It may be necessary to zoom
into the area around the crest to select the correct point
Figure 6.4 Location of selected corner point for curves
x Close the Output program by clicking the Update button and start the
calculation After the calculation save the project