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Perform a finite element analysis of the tunnel structure in Figure 1. A pair of side-by-side with the elastic deformation and stressed
Due to symmetry of the geometry, loading and boundary conditions, only one geotechnical system be carefully constructed to
Key Results
Study the following key results obtained from your analysis:
- The vertical displacement at the peak of the tunnel roof.
- The maximum tensile stress in material that forms the tunnel roof.
- The average vertical displacement across the floor of the tunnel
E = 35 GPa
w = 24 kN/m
085187 Advanced Finite Element Method
Assignment Modeling with Isoparametric Elements Due: December
Perform a finite element analysis of the tunnel structure in Figure 1. A pair of side for the passage of traffic in each direction. The tunnel is excavated from with the elastic properties shown. A plane deformation and stressed
Due to symmetry of the geometry, loading and boundary conditions, only one geotechnical system needs to be included in the finite el be carefully constructed to
Key Results
Study the following key results obtained from your analysis:
vertical displacement at the peak of the tunnel roof.
- The maximum tensile stress in material that forms the tunnel roof.
- The average vertical displacement across the floor of the tunnel
E = 35 GPa
w = 24 kN/m
085187 Advanced Finite Element Method
Assignment # 3 Modeling with Isoparametric Elements December 0
Perform a finite element analysis of the tunnel structure in Figure 1. A pair of for the passage of traffic in each direction. The tunnel is excavated from properties shown. A plane deformation and stressed due to loading by the overburden material.
Due to symmetry of the geometry, loading and boundary conditions, only one needs to be included in the finite el be carefully constructed to capture the large stress gradients that occur around the tunnel.
Figure 1: Twin Tunnels Located in Rock
Study the following key results obtained from your analysis:
vertical displacement at the peak of the tunnel roof.
- The maximum tensile stress in material that forms the tunnel roof.
- The average vertical displacement across the floor of the tunnel
w = 24 kN/m
085187 Advanced Finite Element Method
Modeling with Isoparametric Elements 0 5, 2019
Perform a finite element analysis of the tunnel structure in Figure 1. A pair of for the passage of traffic in each direction. The tunnel is excavated from properties shown. A plane-strain mode due to loading by the overburden material.
Due to symmetry of the geometry, loading and boundary conditions, only one needs to be included in the finite el capture the large stress gradients that occur around the tunnel.
Figure 1: Twin Tunnels Located in Rock
Study the following key results obtained from your analysis:
vertical displacement at the peak of the tunnel roof.
- The maximum tensile stress in material that forms the tunnel roof.
- The average vertical displacement across the floor of the tunnel
085187 Advanced Finite Element Method
Modeling with Isoparametric Elements
Perform a finite element analysis of the tunnel structure in Figure 1. A pair of for the passage of traffic in each direction. The tunnel is excavated from strain mode due to loading by the overburden material.
Due to symmetry of the geometry, loading and boundary conditions, only one needs to be included in the finite el capture the large stress gradients that occur around the tunnel.
Figure 1: Twin Tunnels Located in Rock
Study the following key results obtained from your analysis:
vertical displacement at the peak of the tunnel roof.
- The maximum tensile stress in material that forms the tunnel roof.
- The average vertical displacement across the floor of the tunnel
Symmetry plane
085187 Advanced Finite Element Method
Semester: 1 Instructor:
Perform a finite element analysis of the tunnel structure in Figure 1. A pair of for the passage of traffic in each direction. The tunnel is excavated from strain model provides a good representation to p due to loading by the overburden material.
Due to symmetry of the geometry, loading and boundary conditions, only one needs to be included in the finite element model. The element mesh sho capture the large stress gradients that occur around the tunnel.
Figure 1: Twin Tunnels Located in Rock
Study the following key results obtained from your analysis:
vertical displacement at the peak of the tunnel roof.
- The maximum tensile stress in material that forms the tunnel roof.
- The average vertical displacement across the floor of the tunnel
Units shown are in meter
085187 Advanced Finite Element Method
: Dr. Nguyen Thai Binh
Perform a finite element analysis of the tunnel structure in Figure 1. A pair of for the passage of traffic in each direction. The tunnel is excavated from l provides a good representation to p due to loading by the overburden material.
Due to symmetry of the geometry, loading and boundary conditions, only one ement model. The element mesh sho capture the large stress gradients that occur around the tunnel.
Figure 1: Twin Tunnels Located in Rock
- The maximum tensile stress in material that forms the tunnel roof.
- The average vertical displacement across the floor of the tunnel.
Units shown are in meter
Dr. Nguyen Thai Binh
Perform a finite element analysis of the tunnel structure in Figure 1. A pair of tunnels is located for the passage of traffic in each direction. The tunnel is excavated from rock material l provides a good representation to p
Due to symmetry of the geometry, loading and boundary conditions, only one-half of the ement model. The element mesh sho capture the large stress gradients that occur around the tunnel.
Units shown are in meter
tunnels is located rock material l provides a good representation to predict
half of the ement model. The element mesh should capture the large stress gradients that occur around the tunnel.
Units shown are in meter
tunnels is located rock material redict
half of the uld
Analysis Check
- At section A element model balances the overburden loading.
- Why are stresses so large at the corners of the tunnel floor? Have w model for thes
- In rock mechanics problems such as this one, the question always a which the finite element model must be carried to the right and below the t “infinite” domain. When the finite element model is “cut distance to the tunnel. Comment on
Result Plots
Stress Plots
- Plot the distribution of tangential stress along the roof line for the tunnel as a function of
- Plot the distribution of vertical stress across section
- Plot the distribution of shear stress across section
- Generate contour plots over the model for:
Deflected Shape
- Generate a plot of the deflected shape superimposed on the undeflected model.
Analysis Checks
- At section A−A and A element model balances the overburden loading.
- Why are stresses so large at the corners of the tunnel floor? Have w for these locations? How would these areas be detailed in the actual design?
- In rock mechanics problems such as this one, the question always a the finite element model must be carried to the right and below the t domain. When the finite element model is “cut distance to the boundary strongly influences the predicted deformation and stresse tunnel. Comment on the adequacy of the present model in this reg
Result Plots
Stress Plots
Plot the distribution of tangential stress along the roof line for the tunnel as a function of
- Plot the distribution of vertical stress across section
- Plot the distribution of shear stress across section
- Generate contour plots over the model for:
Deflected Shape
- Generate a plot of the deflected shape superimposed on the undeflected model.
Figure 2: Recommended Division into Patches
and A’–A’, verify that the vertical stress distribution element model balances the overburden loading.
- Why are stresses so large at the corners of the tunnel floor? Have w e locations? How would these areas be detailed in the actual design?
- In rock mechanics problems such as this one, the question always a the finite element model must be carried to the right and below the t domain. When the finite element model is “cut boundary strongly influences the predicted deformation and stresse the adequacy of the present model in this reg
Plot the distribution of tangential stress along the roof line for the tunnel as a function of
- Plot the distribution of vertical stress across section
- Plot the distribution of shear stress across section
- Generate contour plots over the model for:
- Generate a plot of the deflected shape superimposed on the undeflected model.
Figure 2: Recommended Division into Patches
, verify that the vertical stress distribution element model balances the overburden loading.
- Why are stresses so large at the corners of the tunnel floor? Have w e locations? How would these areas be detailed in the actual design?
- In rock mechanics problems such as this one, the question always a the finite element model must be carried to the right and below the t domain. When the finite element model is “cut boundary strongly influences the predicted deformation and stresse the adequacy of the present model in this reg
Plot the distribution of tangential stress along the roof line for the tunnel as a function of
- Plot the distribution of vertical stress across section
- Plot the distribution of shear stress across section
- Generate contour plots over the model for:
- Generate a plot of the deflected shape superimposed on the undeflected model.
Figure 2: Recommended Division into Patches
, verify that the vertical stress distribution element model balances the overburden loading.
- Why are stresses so large at the corners of the tunnel floor? Have w e locations? How would these areas be detailed in the actual design?
- In rock mechanics problems such as this one, the question always a the finite element model must be carried to the right and below the t domain. When the finite element model is “cut boundary strongly influences the predicted deformation and stresse the adequacy of the present model in this reg
Plot the distribution of tangential stress along the roof line for the tunnel as a function of
- Plot the distribution of vertical stress across section A
- Plot the distribution of shear stress across section A−
- Generate contour plots over the model for: (^) xx , (^) yy , xy
- Generate a plot of the deflected shape superimposed on the undeflected model.
Figure 2: Recommended Division into Patches
, verify that the vertical stress distribution
- Why are stresses so large at the corners of the tunnel floor? Have w e locations? How would these areas be detailed in the actual design?
- In rock mechanics problems such as this one, the question always a the finite element model must be carried to the right and below the t domain. When the finite element model is “cut-off” too near the tun boundary strongly influences the predicted deformation and stresse the adequacy of the present model in this reg
Plot the distribution of tangential stress along the roof line for the tunnel as a function of A−A and A’– −A and A’–A (^) xx , (^) yy , (^) xy.
- Generate a plot of the deflected shape superimposed on the undeflected model.
Figure 2: Recommended Division into Patches
, verify that the vertical stress distribution predicted by the finite
- Why are stresses so large at the corners of the tunnel floor? Have we constructed a realistic e locations? How would these areas be detailed in the actual design?
- In rock mechanics problems such as this one, the question always arises about the extent to the finite element model must be carried to the right and below the t off” too near the tun boundary strongly influences the predicted deformation and stresse the adequacy of the present model in this regard?
Plot the distribution of tangential stress along the roof line for the tunnel as a function of –A’. A’.
- Generate a plot of the deflected shape superimposed on the undeflected model.
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Plot the distribution of tangential stress along the roof line for the tunnel as a function of
- Generate a plot of the deflected shape superimposed on the undeflected model.
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Plot the distribution of tangential stress along the roof line for the tunnel as a function of angle θ.
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