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Settlement of a circular footing on sand

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Settlement of a circular footing on sand

Geometry

The stone layer is not included in the model; instead, an appropriate boundary condition is applied at the bottom of the sand layer. To allow for every possible mechanism in the sand and to avoid any influence of the outer boundary, the model is expanded in the horizontal direction to a total radius of 5.0 m.

Case A: Rigid footing

  • Create a new project
  • Define the soil stratigraphy
  • Create and assign material data sets
  • Define the footing
  • Generate the mesh
  • Define and perform the calculation

In the Type group, the type of the model (Model) and the type of base element (Elements) are specified. In the ID box of the General section (optional), write an appropriate name for the new stage (for example, Indent).

Figure 2: Modify soil layers window
Figure 2: Modify soil layers window

Case B: Flexible footing

  • Modify the geometry
  • Add material properties for the footing
  • Generate the mesh
  • Calculations
  • View the calculation results
  • Generate a load-displacement curve

Select the water segment on the upstream shoulder (to the left of the dam, on the side of the reservoir).

Table 2: Material properties of the footing
Table 2: Material properties of the footing

Submerged construction of an excavation

Create new project

On the Model tab, keep the default options for Model (Plane Tension} and Elements (15-Node). The Project Properties window closes and the Soil Mode view is displayed, where the soil stratigraphy can be defined.

Define the soil stratigraphy

Create and assign material data sets

Enter the properties of the clay layer, as listed in Table 3 (on page 35), in the General, Parameters, and Flow Parameters tab sheets. Enter the properties of the sand layer, as listed in Table 3 (on page 35), in the corresponding edit boxes of the General and Parameters tab page.

Define the structural elements

  • To define the diaphragm wall
  • To define the interfaces
  • To define the excavation levels
  • To define the strut
  • To define the distributed load

Set the Set type parameter in the Material sets window to Plates and click the New button. In the Load y-component (qy, start, ref) Selection Explorer, assign a value of -5 kN/m/m.

Figure 18: Positive interface assignment to existing geometry 2. Select Create > Positive interface.
Figure 18: Positive interface assignment to existing geometry 2. Select Create > Positive interface.

Generate the mesh

Define and perform the calculation

  • Initial phase
  • Phase 1: External load
  • Phase 2: First excavation stage
  • Phase 3: Installation of a strut
  • Phase 4: Second (submerged) excavation stage
  • Phase 5: Third excavation stage
  • Execute the calculation

Right-click on the wall in the drawing area and select the Activate option from the context menu. Right-click the top-right cluster in the drawing area and select the Disable option from the menu that appears.

Figure 22: Model view for the first excavation phase
Figure 22: Model view for the first excavation phase

View the calculation results

  • Displacements and stresses
  • Shear forces and bending moments

Dry excavation using a tie back wall

Create new project

Keep the default values ​​for units and the constants and press OK to close the Project properties window.

Define the soil stratigraphy

Create and assign material data sets

Define three data sets for the soil and interfaces with the parameters given in Table 6 (on page 53).

Define the structural elements

  • To define the diaphragm wall and interfaces
  • To define the excavation levels
  • Defining the ground anchor
  • To define the distributed load

The coordinates and material properties of the anchor and grout body are listed in the tables below. Assign the material dataset by selecting the corresponding option from the Material drop-down menu in the Selection Explorer.

Table 7: Material properties of the diaphragm wall (plate)
Table 7: Material properties of the diaphragm wall (plate)

Generate the mesh

Although the exact stress state and interaction with the soil cannot be modeled with this 2D model, it is possible to estimate the stress distribution, deformation and stability of the structure at a global level in this way, assuming that the grout body does not slip relative to the soil. With this model, it is definitely not possible to estimate the pullout force of the soil anchor.

Define and perform the calculation

  • Initial phase
  • Phase 1: Activation of wall and load
  • Phase 2: First excavation
  • Phase 3: First anchor row
  • Phase 4: Second excavation
  • Phase 5: Second anchor row
  • Phase 6: Final excavation
  • Execute the calculation

Click the Create Water Level button on the side toolbar and draw a new phreatic level. Click UserWaterLevel_1 and type LoweredWaterLevel to rename the water level created in the Flow Conditions mode.

Figure 34: Configuration of the initial phase
Figure 34: Configuration of the initial phase

Results

Dry excavation using a tie back wall - ULS

Define the geometry

In the lower part of the window the partial factors for loads and materials can be defined. In the current view it is possible to assign factors to different soil parameters, and to see the effect of these factors on the soil parameters.

Figure 51: Partial factors for loads
Figure 51: Partial factors for loads

Define and perform the calculation

  • Changes to all phases
  • Execute the calculation

Make sure phase 7 starts from phase 1, phase 8 from phase 2, phase 9 from phase 3 and so on. Select some characteristic points for curves (for example, the connection points of the ground anchors on the diaphragm wall, such as and.

Results

Construction of a road embankment

Create new project

On the Model tab, make sure Model is set to Plane strange and Elements is set to 15-Noded.

Define the soil stratigraphy

Create and assign material data sets

Create data sets for soil materials according to Table 12 (on page 74) and assign them to the corresponding layers in the well (see Figure 57 (on page 73)).

Define the construction

  • To define the embankment
  • To define the drains

Note: The initial void ratio (einit) and the change in permeability (ck) must be defined to allow the modeling of the change in permeability in the consolidation analysis due to soil compaction. Modeling runoff in a plane strain model actually involves using the equivalent (lateral) permeability in the surrounding soil based on the runoff pattern.

Generate the mesh

Define and perform the calculation

  • Initial phase: Initial conditions
  • Consolidation analysis
  • Execute the calculation

In the Stages window, select Consolidation from the Calculation type drop-down menu in the General subtree. During a consolidation analysis, the development over time can be viewed in the upper part of the calculation inspector.

Figure 62: The boundary conditions of the problem
Figure 62: The boundary conditions of the problem

Results

In addition to the multipliers, the parameter Pexcess,max also appears, indicating the current maximum excess pore pressure. The curve manager can be used to view the development of excess pore pressure under the embankment with time.

Figure 68: Excess pore pressures after undrained construction of embankment It is clear that the highest excess pore pressure occurs under the embankment centre.
Figure 68: Excess pore pressures after undrained construction of embankment It is clear that the highest excess pore pressure occurs under the embankment centre.

Safety analysis

  • Evaluation of results

The Security Calculation option is available in the Calculation Type drop-down menu on the General tab. In the Phases window, the selected phase is automatically selected in the Start from phase drop-down menu.

Figure 71: Phases explorer displaying the Safety calculation phases
Figure 71: Phases explorer displaying the Safety calculation phases

Using drains

It can be seen that for all curves a more or less constant value of Σ Msf is obtained. By moving the mouse cursor over a point on the curves, a box can be obtained showing the exact value of ΣMsf.

Updated mesh and updated water pressures analysis

Settlements due to tunnel construction

Create new project

On the Model tab, keep the default options for Model (Plane Tension) and Elements (15-noded). Keep the default values ​​for units and constants and press OK to close the Project Properties window.

Define the soil stratigraphy

  • Create and assign material data sets

The data sets of the two bottom soil layers include the relevant parameters for the tunnel interfaces. Enter four data sets with properties as listed in Table 13 (on page 95) and assign them to the appropriate clusters in the geometry model.

Figure 79: The soil stratigraphy in the Modify soil layers window 2. Create the soil stratigraphy as shown in the following figure:
Figure 79: The soil stratigraphy in the Modify soil layers window 2. Create the soil stratigraphy as shown in the following figure:

Define the structural elements

  • Define the tunnel
  • Define building

One would consider hinge connections in the lining (hinges can be added after designing the tunnel in the general drawing area). Right-click the segment in the screen area and select the Create Negative Interface option from the menu that appears.

Figure 80: The geometry of the tunnel segment
Figure 80: The geometry of the tunnel segment

Generate the mesh

Note: In the Standard fixities option, a plate that extends to a geometric boundary that is fixed in at least one direction gets fixed rotations, while a plate that extends to a free boundary gets a free rotation .

Define and perform the calculation

  • Initial phase
  • Phase 1: Building
  • Phase 2: Tunnel
  • Phase 3: Contraction
  • Phase 4: Grouting
  • Phase 5: Final lining
  • Execute the calculation

In the selection explorer turn off the two soil groups and set the water conditions to Dry. Shrinkage of the tunnel lining itself does not introduce forces into the tunnel lining.

Results

Right-click on the bottom border of the model and select the Activate option from the menu that appears.

Figure 83: Deformed mesh after construction of the tunnel (Phase 5; scaled up 20.0 times)
Figure 83: Deformed mesh after construction of the tunnel (Phase 5; scaled up 20.0 times)

Excavation of an NATM tunnel

Create a new project

Define the soil stratigraphy

However, because the depth of layer 2 is greater, assign 30.00 to the top and bottom of layer 1.

Create and assign material data sets

Create soil material data sets according to Table 16 (on page 109) and assign them to the corresponding layers (Figure 88 (on page 108)). Close the Edit Base Layers window and proceed to the Structures mode to define the structural elements.

Table 16: Material properties of the soil layers
Table 16: Material properties of the soil layers

Define the tunnel

Select multiple polycurves in the viewing area and select the Create Slab option from the menu that appears. Select the created plates several times and in the Selection Explorer assign the Lining material to the selected plates.

Figure 89: Segments in the tunnel cross section 15. Proceed to the Properties mode.
Figure 89: Segments in the tunnel cross section 15. Proceed to the Properties mode.

Generate the mesh

Assign negative interfaces to the lines that define the tunnel shape (not the excavation levels).

Define and perform the calculation

  • Initial phase
  • Phase 1: First tunnel excavation (deconfinement)
  • Phase 2: First (temporary) lining
  • Phase 3: Second tunnel excavation (deconfinement)
  • Phase 4: Second (final) lining
  • Execute the calculation

With the deactivated cluster still selected, in the Selection Explorer set Deconfinement(1 - β) to 60. With the lower deactivated cluster still selected, set Deconfinement to 60% in the Selection Explorer.

Figure 92: Configuration of Phase 1
Figure 92: Configuration of Phase 1

Results

Cyclic vertical capacity and stiffness of circular underwater footing

Create new project

Define the soil stratigraphy

Create and assign material data sets

  • Material: Clay - total load
  • Material: Clay - cyclic load
  • Material: Concrete

The three steps of the cyclic accumulation and optimization procedure are represented by the three tabs (Cyclic Accumulation, Stress Distortion Curves and Parameter Optimization) in the window. When the calculation is finished, save the application status of the Cyclic Accumulation and Optimization Tool.

Figure 100: Cyclic accumulation and optimisation tool A new window opens:
Figure 100: Cyclic accumulation and optimisation tool A new window opens:

Define the structural elements

  • Define the concrete foundation
  • Define the interfaces
  • Define a vertical load

Make a copy of the material Clay - cyclic load and name it Clay - cyclic load - interface. To calculate the cyclic vertical capacity and stiffness, a vertical load is applied at the top of the foundation.

Figure 109: Geometry of the model
Figure 109: Geometry of the model

Generate the mesh

Define and perform the calculation

  • Initial phase
  • Phase 1: Footing and interface activation
  • Phase 2: Bearing capacity and stiffness
  • Phase 3: Calculate vertical cyclic stiffness
  • Execute the calculation

Assign the material Clay - cyclic load - interface material to the upper part of the interface. The connection plot is displayed in the Exporter and the Select Points window is activated.

Results

Stability of dam under rapid drawdown

Create new project

Define the soil stratigraphy

Create and assign material data sets

Create data sets under the Soils and Interfaces set type according to the information in Table 22 (on page 140).

Define the dam

Generate the mesh

Define and perform the calculation

  • Initial phase: Gravity loading
  • Phase 1: Rapid drawdown
  • Phase 2: Slow drawdown
  • Phase 3: Low level
  • Phase 4 to 7
  • Execute the calculation

Right-click on the created water level and select the Make Global option from the menu that appears. Notice in the Water subtree under the Model Conditions in the Model Explorer that the new water level (FullReservoir_Rapid) is assigned to GlobalWaterLevel.

Figure 116: The Phases window 8. Click OK to close the Phases window.
Figure 116: The Phases window 8. Click OK to close the Phases window.

Results

In the General subtree of the Phases window, select the Flow Only option from the Calculation Type drop-down list. The activated dynamic component of the load in Selection Explorer is shown in the figure below.

Figure 127: Pore pressure distribution, (p active ), after rapid drawdown
Figure 127: Pore pressure distribution, (p active ), after rapid drawdown

Flow through an embankment

Create new project

Define the soil stratigraphy

Create and assign material data set

Define the soil material according to the table above and assign the material dataset to the cluster.

Generate the mesh

Define and perform the calculation

  • Initial phase
  • Phase 1
  • Phase 2
  • Execute the calculation

Select the Transient groundwater flow option as the pore pressure calculation type in the General subtree. In the Flow Functions window, select the Harmonic option from the Signal drop-down menu.

Results

In the Selection Explorer, the behavior of the wells is set to Extraction by default. The calculation consists of 4 phases and is defined in the Phased construction mode.

Flow around a sheet pile wall

Create and assign material data set

Open the project defined in the tutorial Dry Excavation Using a Retaining Backwall (on page 51).

Define the structural elements

Generate the mesh

Define and perform the calculation

  • Initial phase
  • Phase 1
  • Execute the calculation

Results

In the General subtree of the Phases window, select Dynamic as the calculation type. In phase 3, the load is kept at zero and the dynamic response of the pile and the ground is analyzed over time.

Potato field moisture content

Create new project

Define the soil stratigraphy

Create and assign material data sets

Generate the mesh

Define and perform the calculation

  • Initial phase
  • Transient phase
  • Execute the calculation

Enter a name for the function and select the Table option from the Signal drop-down menu. For precipitation, select the Time-Dependent option from the corresponding drop-down menu and assign the defined function.

Results

See also Elastic parameters and wave speed relationships in the Parameters tab of the Reference Manual. Note that the static load component will not be used in this project.

Dynamic analysis of a generator on an elastic foundation

Create new project

On the Model tab, select Axisymmetric for Model and keep the default option for Elements (15-noded). Note: The model boundaries must be sufficiently far away from the area of ​​interest to avoid distortions due to possible reflections.

Define the soil stratigraphy

Launch the Input Tool and select Start a New Project in the Quick Selection dialog box. Although special measures are taken to prevent false reflections (viscous boundaries), there is always a small influence and it is still good practice to set boundaries far away.

Create and assign material data sets

Note: When using Mohr-Coulomb or linear elastic models, the wave speeds Vp and Vs are calculated from the elastic parameters and the soil weight. Vp and Vscan are also entered as inputs; the elastic parameters are then calculated automatically.

Define the structural elements

Define a material data set for the foundation according to the information in Table 29 (on page 180). Apply a distributed load to the base to model the weight of the generator and the vibrations it produces.

Generate the mesh

Define and perform the calculation

  • Initial phase
  • Phase 1: Footing
  • Phase 2: Start generator
  • Phase 3: Stop generator
  • Execute the calculation
  • Additional calculation with damping

Click Multiplier_y in the dynamic load subtree and select the LoadMultiplier_1 option from the drop-down menu. The dynamic boundaries can be specified in the Model Explorer > Model Conditions > Dynamics subtree.

Results

Initially the pile is not present, so initially the clay properties are also assigned to the pile cluster. Click the Select Points for Curves button in the side toolbar and select a node at the top of the stack of load-displacement curves.

Pile driving

Create new project

In the Model tab page, select the Axisymmetry option for Model and keep the default option for Elements (15-Noded).

Define the soil stratigraphy

Create and assign material data sets

Define the structural elements

  • Define the pile
  • Define a load

Define a Harmonic signal with an amplitude of 5000, a phase of 0° and a frequency of 50 Hz and as shown in the figure below. Note that dynamic multipliers can be defined by right-clicking the Dynamic Multipliers subtree under Attributes Library in the Model Explorer.

Generate the mesh

Define and perform the calculation

  • Initial phase
  • Phase 1: Pile activation
  • Phase 2: Pile driving
  • Phase 3: Fading
  • Execute the calculation

Results

Free vibration and earthquake analysis of a building

Create new project

Define the soil stratigraphy

Create and assign material data sets

Define the structural elements

  • Define the building
  • Define the loads
  • Create interfaces on the boundary

Generate the mesh

Define and perform the calculation

  • Initial phase
  • Phase 1: Building
  • Phase 2: Excitation
  • Phase 3: Free vibration
  • Phase 4: Earthquake
  • Execute the calculation

Results

Thermal expansion of a navigable lock

Create new project

Define the soil stratigraphy

Create and assign material data sets

Define the structural elements

Generate the mesh

Define and perform the calculation

  • Initial phase
  • Phase 1: Construction
  • Phase 2: Heating
  • Execute the calculation

Results

Freeze pipes in tunnel construction

Create new project

Define the soil stratigraphy

Create and assign material data sets

Define the structural elements

Generate the mesh

Define and perform the calculation

  • Initial phase
  • Phase 1: Transient calculation
  • Execute the calculation

Results

Gambar

Figure 9: The Phases window for the Indentation phase 3. Click OK to close the Phases window.
Figure 15: Curve generation window
Figure 17: Geometry model of the situation of a submerged excavation
Table 3: Material properties of the sand and clay layer and the interfaces
+7

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