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ANSYS TUTORIAL
BUCKLING ANALYSIS
ENG. MAHA MODDATHER HASSAN
T.A. CAIRO UNIVERSITY, EGYPT
SESSION OUTLINE

Introduction

Buckling of Column with well-defined End Conditions.

Buckling of Special Column.

Second Order Analysis of a Simple Beam.

Buckling of Frame.

Home Work
INTRODUCTION

ANSYS is a finite element program that can perform:
 Static Linear Analyses
 Static Nonlinear Analyses
 Dynamic Linear Analyses
 Dynamic Nonlinear Analyses
 Heat Transfer Problems
 Fluid Problems
 Electromagnetic Problems
INTRODUCTION
ANSYS can be used for analyzing
Skeletal Structures Non-skeletal Structures
2D 3D
Domes
Slabs
Beams Trusses
Frames
INTRODUCTION
ANSYS
Preprocessing Post processing
Analysis Steps
Solution
Geometry
Material Properties Apply Boundary
Conditions (Restraints)
Obtaining Results
Type of Problem
Apply Loads
Choose Elements
Solution Control
INTRODUCTION
General View of ANSYS Program :
INTRODUCTION
Preprocessing Phase
INTRODUCTION
Solution Phase
INTRODUCTION
Post processing Phase
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
600cm
Column Section
20 cm
10 cm
P
P
Get Pcr using Eigen buckling analysis in Ansys and
compare with manual solution? (E = 2000 t/cm2
)
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
600cm
P
P
Exact Solution:
Pcr = Π2
EI/L2
Pcr = Π2
(2000)I/6002
= 91.4 ton
Ix = 10(20)3
/12 = 6666.67 cm4
Iy = 20(10)3
/12 = 1666.67 cm4
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
600cm
P
P
Using ANSYS 12.0:Preprocessing Phase:
1.Define key points
Preprocessor > Modeling > create >
keypoints > In active CS
Y
X
1
2
POINT ( X , Y)
1 ( 0 , 0)
2 ( 0 , 600)
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
600cm
P
P
Y
X
1
2
POINT ( X , Y)
1 ( 0 , 0)
2 ( 0 , 600)
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
600cm
P
P
Y
X
1
2
POINT ( X , Y)
1 ( 0 , 0)
2 ( 0 , 600)
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
600cm
P
P
Y
X
1
2
Using ANSYS 12.0:Preprocessing Phase:
2. Define line between keypoints
Preprocessor > Modeling > Create > Lines > Lines
> In Active Coord
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
Using ANSYS 12.0:Preprocessing Phase:
2. Pick points 1,2
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
Using ANSYS 12.0:Preprocessing Phase:
3. Define type of element
Preprocessor > Element Type > Add/Edit/Delete
For this problem we will use the BEAM3 (Beam 2D
elastic) element. This element has 3 degrees of
freedom (translation along the X and Y axes, and
rotation about the Z axis).
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
Using ANSYS 12.0:Preprocessing Phase:
4. Define real constants
Preprocessor > Real Constants... > Add
In the 'Real Constants for BEAM3' window, enter the following
geometric properties:
i. Cross-sectional area AREA: 200
ii. Area moment of inertia IZZ: 1666.67
iii. Total Beam Height HEIGHT: 20
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
Using ANSYS 12.0:Preprocessing Phase:
5. Define Material Properties
Preprocessor > Material Props > Material Models > Structural > Linear
> Elastic > Isotropic
In the window that appears, enter the following geometric properties :
i. Young's modulus EX: 2000
ii. Poisson's Ratio PRXY: 0.3
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
Using ANSYS 12.0:Preprocessing Phase:
6. Define Mesh
Preprocessor > Meshing > Size Cntrls > ManualSize > Lines > All
Lines...
For this example we will specify an element edge length of 10 cm (10
element divisions along the line).
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
Using ANSYS 12.0:Preprocessing Phase:
7. Apply Mesh
Preprocessor > Meshing > Mesh > Lines > click 'Pick All'
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
Using ANSYS 12.0:Solution Phase:
1. Define Analysis Type
Solution > Analysis Type > New Analysis > Static
2. Activate prestress effects
To perform an eigenvalue buckling analysis, prestress effects must be
activated.
Select Solution > Analysis Type > sol’n control
change the [SSTIF][PSTRES] item to 'Prestress ON', which ensures the stress
stiffness matrix is calculated. This is required in eigenvalue buckling
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
Using ANSYS 12.0:Solution Phase:
3. Apply Constraints
Solution > Define Loads > Apply > Structural > Displacement > On
Keypoints
Select Keypoint 1 and Fix Ux and Uy.
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
Using ANSYS 12.0:Solution Phase:
3. Apply Constraints
Solution > Define Loads > Apply > Structural > Displacement > On
Keypoints
Select Keypoint 2 and Fix in X direction.
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
Using ANSYS 12.0:Solution Phase:
4. Apply Loads
Solution > Define Loads > Apply > Structural > Force/Moment > On
Keypoints
The eignenvalue solver uses a unit force to determine the necessary
buckling load. Applying a load other than 1 will scale the answer by a
factor of the load. Apply a vertical (FY) point load of -1 ton to the top of
the beam (keypoint 2).
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
Using ANSYS 12.0:Solution Phase:
5. Solve the system
Solution > Solve > Current LS
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
Using ANSYS 12.0: Post Processing Phase:
1. Exit solution phase
Close the solution menu and click FINISH at the bottom of the Main
Menu.
Normally at this point you enter the post processing phase. However,
with a buckling analysis you must re-enter the solution phase
and specify the buckling analysis. Be sure to close the solution menu
and re-enter it or the buckling analysis may not function
properly.
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
Using ANSYS 12.0: Second SolutionPhase:
1. Define Analysis Type
Solution > Analysis Type > New Analysis > Eigen Buckling
2. Specify Buckling Analysis Options
Select Solution > Analysis Type > Analysis Options
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
Using ANSYS 12.0: Second SolutionPhase:
Complete the window as shown below:
3. Solve the system
Solution > Solve > Current LS
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
Using ANSYS 12.0: Second SolutionPhase :
4. Exit solution phase
Close the solution menu and click FINISH at the bottom of the Main
Menu as before
Using ANSYS 12.0: Post Processing Phase:
1. View the buckling load
To display the minimum load required to buckle the beam select
General Postproc > List Results > Detailed Summary
Buckling load as
calculated before
BUCKLING OF COLUMN WITH WELL-DEFINED END
CONDITIONS
Using ANSYS 12.0: Post Processing Phase:
2. Display buckling mode
Select General Postproc > Read Results > Last Set to bring up the
data for the last mode calculated
Select General Postproc > Plot Results > Deformed Shape
BUCKLING OF SPECIAL COLUMN
450cm
Section 10 cm
10 cm
P
Get Pcr using approximate analysis, exact analysis,
and Eigen buckling analysis in Ansys and compare?
(E = 2000 t/cm2
)
P
300cm
BUCKLING OF SPECIAL COLUMN
Approximate Solution:
Pcr = Π2
EI/Lmax
2
Pcr = Π2
(2000)I/4502
= 81.231 ton
Ix = 10(10)3
/12 = 833.333 cm4
Exact Solution:
From lecture notes :
Pcr = 5.89EI/Lmin
2
= 5.89 (2000)x833.33/3002
= 109.0 ton
BUCKLING OF SPECIAL COLUMN
Using ANSYS 12.0:Preprocessing Phase:
1.Define key points
Preprocessor > Modeling > create > keypoints > In active
CS
450cm
1
300cm
2 3
POINT ( X , Y)
1 ( 0 , 0)
2 ( 300 , 0)
3 ( 750 , 0)
Y
X
BUCKLING OF SPECIAL COLUMN
Using ANSYS 12.0:Preprocessing Phase:
2. Define line between keypoints
Preprocessor > Modeling > Create > Lines > Lines > In Active Coord
Define line between (1 and 2) then between (2 and 3)
BUCKLING OF SPECIAL COLUMN
Using ANSYS 12.0:Preprocessing Phase:
3. Define type of element
Preprocessor > Element Type > Add/Edit/Delete
For this problem we will use the BEAM3 (Beam 2D elastic) element. This
element has 3 degrees of freedom (translation along the X and Y axes,
and rotation about the Z axis).
BUCKLING OF SPECIAL COLUMN
Using ANSYS 12.0:Preprocessing Phase:
4. Define real constants
Preprocessor > Real Constants... > Add
In the 'Real Constants for BEAM3' window, enter the following geometric
properties:
i. Cross-sectional area AREA: 100
ii. Area moment of inertia IZZ: 833.33
iii. Total Beam Height HEIGHT: 10
BUCKLING OF SPECIAL COLUMN
Using ANSYS 12.0:Preprocessing Phase:
5. Define Material Properties
Preprocessor > Material Props > Material Models > Structural > Linear >
Elastic > Isotropic
In the window that appears, enter the following geometric properties :
i. Young's modulus EX: 2000
ii. Poisson's Ratio PRXY: 0.3
6. Define Mesh
Preprocessor > Meshing > Size Cntrls > ManualSize > Lines > All
Lines...
For this example we will specify an element edge length of 10 cm (10
element divisions along the line).
7. Apply Mesh
Preprocessor > Meshing > Mesh > Lines > click 'Pick All'
BUCKLING OF SPECIAL COLUMN
Using ANSYS 12.0:Solution Phase:
1. Define Analysis Type
Solution > Analysis Type > New Analysis > Static
2. Activate prestress effects
To perform an eigenvalue buckling analysis, prestress effects must be
activated.
Select Solution > Analysis Type > sol’n control
change the [SSTIF][PSTRES] item to 'Prestress ON', which ensures the stress
stiffness matrix is calculated. This is required in eigenvalue buckling
BUCKLING OF SPECIAL COLUMN
BUCKLING OF SPECIAL COLUMN
Using ANSYS 12.0:Solution Phase:
3. Apply Constraints
Solution > Define Loads > Apply > Structural > Displacement > On
Keypoints
Select Keypoint 1 and Fix Ux and Uy.
BUCKLING OF SPECIAL COLUMN
Using ANSYS 12.0:Solution Phase:
3. Apply Constraints
Solution > Define Loads > Apply > Structural > Displacement > On
Keypoints
Select Keypoint 2 and 3, then Fix Uy.
BUCKLING OF SPECIAL COLUMN
BUCKLING OF SPECIAL COLUMN
Using ANSYS 12.0:Solution Phase:
4. Apply Loads
Solution > Define Loads > Apply > Structural > Force/Moment > On
Keypoints
The eignenvalue solver uses a unit force to determine the necessary
buckling load. Applying a load other than 1 will scale the answer by a
factor of the load. Apply a vertical (Fx) point load of -1 ton to the top of
the beam (keypoint 3).
BUCKLING OF SPECIAL COLUMN
Using ANSYS 12.0:Solution Phase:
5. Solve the system
Solution > Solve > Current LS
BUCKLING OF SPECIAL COLUMN
Using ANSYS 12.0: Post Processing Phase:
1. Exit solution phase
Close the solution menu and click FINISH at the bottom of the Main
Menu.
Normally at this point you enter the post processing phase. However,
with a buckling analysis you must re-enter the solution phase
and specify the buckling analysis. Be sure to close the solution menu
and re-enter it or the buckling analysis may not function
properly.
BUCKLING OF SPECIAL COLUMN
Using ANSYS 12.0: Second SolutionPhase:
1. Define Analysis Type
Solution > Analysis Type > New Analysis > Eigen Buckling
2. Specify Buckling Analysis Options
Select Solution > Analysis Type > Analysis Options
BUCKLING OF SPECIAL COLUMN
Using ANSYS 12.0: Second SolutionPhase:
Complete the window as shown below:
3. Solve the system
Solution > Solve > Current LS
BUCKLING OF SPECIAL COLUMN
Using ANSYS 12.0: Second SolutionPhase :
4. Exit solution phase
Close the solution menu and click FINISH at the bottom of the Main
Menu as before
Buckling load as
calculated before
Using ANSYS 12.0: Post Processing Phase:
1. View the buckling load
To display the minimum load required to buckle the beam select
General Postproc > List Results > Detailed Summary
BUCKLING OF SPECIAL COLUMN
Using ANSYS 12.0: Post Processing Phase:
2. Display buckling mode
Select General Postproc > Read Results > Last Set to bring up the
data for the last mode calculated
Select General Postproc > Plot Results > Deformed Shape
SECOND ORDER ANALYSIS
200cm
Section
50 cm
30 cm
10ton
Get the value of max bending moment and deflection using : first
order analysis, exact analysis, and ANSYS? (E = 2000 t/cm2
(
300cm 300cm
10ton
P = 80 ton P = 80 ton
SECOND ORDER ANALYSIS
Using first order Analysis:
Mmax = 3000 t.cm
Ymax = 0.312 cm
Exact Solution:
From lecture notes : using superposition or exact analysis:
Mmax = 3025 t.cm
Ymax = 0.3146 cm
SECOND ORDER ANALYSIS
Using ANSYS 12.0:Preprocessing Phase:
1.Define key points
Preprocessor > Modeling > create > keypoints > In active
CS
1 2 4
POINT ( X , Y)
1 ( 0 , 0)
2 ( 300 , 0)
3 ( 500 , 0)
4 ( 800 , 0)
Y
X
200cm
10ton
300cm 300cm
10ton
3
SECOND ORDER ANALYSIS
Using ANSYS 12.0:Preprocessing Phase:
2. Define line between keypoints
Preprocessor > Modeling > Create > Lines > Lines > In Active Coord
Define line between (1 and 2( then between (2 and 3( then between (3 and 4(
SECOND ORDER ANALYSIS
Using ANSYS 12.0:Preprocessing Phase:
3. Define type of element
Preprocessor > Element Type > Add/Edit/Delete
For this problem we will use the BEAM3 (Beam 2D elastic( element. This
element has 3 degrees of freedom (translation along the X and Y axes,
and rotation about the Z axis(.
SECOND ORDER ANALYSIS
Using ANSYS 12.0:Preprocessing Phase:
4. Define real constants
Preprocessor > Real Constants... > Add
In the 'Real Constants for BEAM3' window, enter the following
geometric properties:
i. Cross-sectional area AREA: 1500
ii. Area moment of inertia IZZ: 312500
iii. Total Beam Height HEIGHT: 50
SECOND ORDER ANALYSIS
Using ANSYS 12.0:Preprocessing Phase:
5. Define Material Properties
Preprocessor > Material Props > Material Models > Structural > Linear >
Elastic > Isotropic
In the window that appears, enter the following geometric properties :
i. Young's modulus EX: 2000
ii. Poisson's Ratio PRXY: 0.3
6. Define Mesh
Preprocessor > Meshing > Size Cntrls > ManualSize > Lines > All
Lines...
For this example we will specify an element edge length of 10 cm (10
element divisions along the line(.
7. Apply Mesh
Preprocessor > Meshing > Mesh > Lines > click 'Pick All'
SECOND ORDER ANALYSIS
Using ANSYS 12.0:Solution Phase:
1. Define Analysis Type
Solution > Analysis Type > New Analysis > Static
2. Activate prestress effects
To perform an large deflection analysis, prestress effects must be activated.
Select Solution > Analysis Type > sol’n control
change the [SSTIF][PSTRES] item to 'Prestress ON', which ensures the stress
stiffness matrix is calculated. This is required in eigenvalue buckling
analysis.
SECOND ORDER ANALYSIS
SECOND ORDER ANALYSIS
Using ANSYS 12.0:Solution Phase:
3. Apply Constraints
Solution > Define Loads > Apply > Structural > Displacement > On
Keypoints
Select Keypoint 1 and Fix Ux and Uy.
SECOND ORDER ANALYSIS
Using ANSYS 12.0:Solution Phase:
3. Apply Constraints
Solution > Define Loads > Apply > Structural > Displacement > On
Keypoints
Select Keypoint 4, then Fix Uy.
BUCKLING OF SPECIAL COLUMN
BUCKLING OF SPECIAL COLUMN
Using ANSYS 12.0:Solution Phase:
4. Apply Loads
Solution > Define Loads > Apply > Structural > Force/Moment > On
Keypoints
Apply -10 tons at points (2 and 3( in Fy direction.
SECOND ORDER ANALYSIS
Using ANSYS 12.0:Solution Phase:
5. Solve the system
Solution > Solve > Current LS
SECOND ORDER ANALYSIS
Using ANSYS 12.0: Post Processing Phase:
1. Exit solution phase
Close the solution menu and click FINISH at the bottom of the Main
Menu.
Normally at this point you enter the post processing phase. However,
with a buckling analysis you must re-enter the solution phase
and specify the buckling analysis. Be sure to close the solution menu
and re-enter it or the buckling analysis may not function
properly.
SECOND ORDER ANALYSIS
Using ANSYS 12.0: Post Processing Phase:
1. Display deformed shape
select General Postproc > Plot Results > Deformed Shape
Max y = 0.3148 cm
SECOND ORDER ANALYSIS
Using ANSYS 12.0: Post Processing Phase:
2. Display moment
select General Postproc > element table > define table
SECOND ORDER ANALYSIS
SECOND ORDER ANALYSIS
Using ANSYS 12.0: Post Processing Phase:
2. Display moment
select General Postproc > element table > plot elem table
SECOND ORDER ANALYSIS
Max Moment = 3025 t.cm
BUCKLING OF FRAMES
Section
50 cm
30 cm
600cm
600cm
P P
Get Pcr using Eigen buckling analysis in Ansys and
compare with manual solution? (E = 2000 t/cm2
(
Also, compare with the value extracted from alignment
charts.
BUCKLING OF FRAMES
Exact Solution:
Pcr = 1.815EI/L2
= 1.82x2000x I /6002
= 3151 ton
I = 30(50(3
/12 = 312500 cm4
Using Alignment Charts:
For sway frame Case:
GA = 10
GB = EI/Lcol/EI/Lbeams = 1
K = 1.88
Pcr = 1.88EI/L2
= 1.83x2000x I /6002
= 3264 ton
BUCKLING OF FRAMES
Using ANSYS 12.0:Preprocessing Phase:
1.Define key points
Preprocessor > Modeling > create > keypoints > In active
CS
POINT ( X , Y)
1 ( 0 , 0)
2 ( 0 , 600)
3 ( 600 , 600)
4 ( 600 , 0)
2 3
1 4X
Y
BUCKLING OF FRAMES
Using ANSYS 12.0:Preprocessing Phase:
2. Define line between keypoints
Preprocessor > Modeling > Create > Lines > Lines > In Active Coord
BUCKLING OF FRAMES
Using ANSYS 12.0:Preprocessing Phase:
2. Pick points 1,2 then 2,3 then 3,4
BUCKLING OF FRAMES
Using ANSYS 12.0:Preprocessing Phase:
3. Define type of element
Preprocessor > Element Type > Add/Edit/Delete
For this problem we will use the BEAM3 (Beam 2D elastic) element. This
element has 3 degrees of freedom (translation along the X and Y axes,
and rotation about the Z axis).
BUCKLING OF FRAMES
BUCKLING OF FRAMES
Using ANSYS 12.0:Preprocessing Phase:
4. Define real constants
Preprocessor > Real Constants... > Add
In the 'Real Constants for BEAM3' window, enter the following
geometric properties:
i. Cross-sectional area AREA: 1500
ii. Area moment of inertia IZZ: 312500
iii. Total Beam Height HEIGHT: 50
BUCKLING OF FRAMES
BUCKLING OF FRAMES
Using ANSYS 12.0:Preprocessing Phase:
5. Define Material Properties
Preprocessor > Material Props > Material Models > Structural > Linear
> Elastic > Isotropic
In the window that appears, enter the following geometric properties :
i. Young's modulus EX: 2000
ii. Poisson's Ratio PRXY: 0.3
BUCKLING OF FRAMES
Using ANSYS 12.0:Preprocessing Phase:
6. Define Mesh
Preprocessor > Meshing > Size Cntrls > ManualSize > Lines > All
Lines...
For this example we will specify an element edge length of 10 cm (10
element divisions along the line).
BUCKLING OF FRAMES
Using ANSYS 12.0:Preprocessing Phase:
7. Apply Mesh
Preprocessor > Meshing > Mesh > Lines > click 'Pick All'
BUCKLING OF FRAMES
BUCKLING OF FRAMES
Using ANSYS 12.0:Solution Phase:
1. Define Analysis Type
Solution > Analysis Type > New Analysis > Static
2. Activate prestress effects
To perform an eigenvalue buckling analysis, prestress effects must be
activated.
Select Solution > Analysis Type > sol’n control
change the [SSTIF][PSTRES] item to 'Prestress ON', which ensures the stress
stiffness matrix is calculated. This is required in eigenvalue buckling
BUCKLING OF FRAMES
BUCKLING OF FRAMES
Using ANSYS 12.0:Solution Phase:
3. Apply Constraints
Solution > Define Loads > Apply > Structural > Displacement > On
Keypoints
Select Keypoint 1 and 4 and Fix Ux and Uy.
BUCKLING OF FRAMES
BUCKLING OF FRAMES
Using ANSYS 12.0:Solution Phase:
4. Apply Loads
Solution > Define Loads > Apply > Structural > Force/Moment > On
Keypoints
The eignenvalue solver uses a unit force to determine the necessary
buckling load. Applying a load other than 1 will scale the answer by a
factor of the load. Apply a vertical (FY) point load of -1 ton to the top of
the beam (keypoint 2 and 3).
BUCKLING OF FRAMES
BUCKLING OF FRAMES
Using ANSYS 12.0:Solution Phase:
5. Solve the system
Solution > Solve > Current LS
BUCKLING OF FRAMES
Using ANSYS 12.0: Post Processing Phase:
1. Exit solution phase
Close the solution menu and click FINISH at the bottom of the Main
Menu.
Normally at this point you enter the post processing phase. However,
with a buckling analysis you must re-enter the solution phase
and specify the buckling analysis. Be sure to close the solution menu
and re-enter it or the buckling analysis may not function
properly.
BUCKLING OF FRAMES
Using ANSYS 12.0: Second SolutionPhase:
1. Define Analysis Type
Solution > Analysis Type > New Analysis > Eigen Buckling
2. Specify Buckling Analysis Options
Select Solution > Analysis Type > Analysis Options
BUCKLING OF FRAMES
Using ANSYS 12.0: Second SolutionPhase:
Complete the window as shown below:
3. Solve the system
Solution > Solve > Current LS
BUCKLING OF FRAMES
Using ANSYS 12.0: Second SolutionPhase :
4. Exit solution phase
Close the solution menu and click FINISH at the bottom of the Main
Menu as before
Using ANSYS 12.0: Post Processing Phase:
1. View the buckling load
To display the minimum load required to buckle the beam select
General Postproc > List Results > Detailed Summary
Buckling load as
calculated before
BUCKLING OF FRAMES
Using ANSYS 12.0: Post Processing Phase:
2. Display buckling mode
Select General Postproc > Read Results > Last Set to bring up the
data for the last mode calculated
Select General Postproc > Plot Results > Deformed Shape
HOME WORK
400cm
Column Section
40 cm
20 cm
P
P
Get Pcr using Eigen buckling analysis in Ansys and
compare with manual solution? (E = 2100 t/cm2
)
HOME WORK
700cm
Section 20 cm
20 cm
P
Get Pcr using approximate analysis, exact analysis, and Eigen
buckling analysis in Ansys and compare? (E = 2000 t/cm2
)
P
350cm
EI 2EI
HOME WORK
Section
60 cm
25 cm
Get the value of max bending moment and deflection using : first
order analysis, exact analysis, and ANSYS? (E = 2000 t/cm2
)
400cm 400cm
10ton
P = 90 ton P = 90 ton
THANK YOU

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Buckling Analysis in ANSYS

  • 1. ANSYS TUTORIAL BUCKLING ANALYSIS ENG. MAHA MODDATHER HASSAN T.A. CAIRO UNIVERSITY, EGYPT
  • 2. SESSION OUTLINE  Introduction  Buckling of Column with well-defined End Conditions.  Buckling of Special Column.  Second Order Analysis of a Simple Beam.  Buckling of Frame.  Home Work
  • 3. INTRODUCTION  ANSYS is a finite element program that can perform:  Static Linear Analyses  Static Nonlinear Analyses  Dynamic Linear Analyses  Dynamic Nonlinear Analyses  Heat Transfer Problems  Fluid Problems  Electromagnetic Problems
  • 4. INTRODUCTION ANSYS can be used for analyzing Skeletal Structures Non-skeletal Structures 2D 3D Domes Slabs Beams Trusses Frames
  • 5. INTRODUCTION ANSYS Preprocessing Post processing Analysis Steps Solution Geometry Material Properties Apply Boundary Conditions (Restraints) Obtaining Results Type of Problem Apply Loads Choose Elements Solution Control
  • 10. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS 600cm Column Section 20 cm 10 cm P P Get Pcr using Eigen buckling analysis in Ansys and compare with manual solution? (E = 2000 t/cm2 )
  • 11. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS 600cm P P Exact Solution: Pcr = Π2 EI/L2 Pcr = Π2 (2000)I/6002 = 91.4 ton Ix = 10(20)3 /12 = 6666.67 cm4 Iy = 20(10)3 /12 = 1666.67 cm4
  • 12. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS 600cm P P Using ANSYS 12.0:Preprocessing Phase: 1.Define key points Preprocessor > Modeling > create > keypoints > In active CS Y X 1 2 POINT ( X , Y) 1 ( 0 , 0) 2 ( 0 , 600)
  • 13. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS 600cm P P Y X 1 2 POINT ( X , Y) 1 ( 0 , 0) 2 ( 0 , 600)
  • 14. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS 600cm P P Y X 1 2 POINT ( X , Y) 1 ( 0 , 0) 2 ( 0 , 600)
  • 15. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS 600cm P P Y X 1 2 Using ANSYS 12.0:Preprocessing Phase: 2. Define line between keypoints Preprocessor > Modeling > Create > Lines > Lines > In Active Coord
  • 16. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS Using ANSYS 12.0:Preprocessing Phase: 2. Pick points 1,2
  • 17. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS Using ANSYS 12.0:Preprocessing Phase: 3. Define type of element Preprocessor > Element Type > Add/Edit/Delete For this problem we will use the BEAM3 (Beam 2D elastic) element. This element has 3 degrees of freedom (translation along the X and Y axes, and rotation about the Z axis).
  • 18. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS
  • 19. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS Using ANSYS 12.0:Preprocessing Phase: 4. Define real constants Preprocessor > Real Constants... > Add In the 'Real Constants for BEAM3' window, enter the following geometric properties: i. Cross-sectional area AREA: 200 ii. Area moment of inertia IZZ: 1666.67 iii. Total Beam Height HEIGHT: 20
  • 20. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS
  • 21. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS Using ANSYS 12.0:Preprocessing Phase: 5. Define Material Properties Preprocessor > Material Props > Material Models > Structural > Linear > Elastic > Isotropic In the window that appears, enter the following geometric properties : i. Young's modulus EX: 2000 ii. Poisson's Ratio PRXY: 0.3
  • 22. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS Using ANSYS 12.0:Preprocessing Phase: 6. Define Mesh Preprocessor > Meshing > Size Cntrls > ManualSize > Lines > All Lines... For this example we will specify an element edge length of 10 cm (10 element divisions along the line).
  • 23. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS Using ANSYS 12.0:Preprocessing Phase: 7. Apply Mesh Preprocessor > Meshing > Mesh > Lines > click 'Pick All'
  • 24. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS Using ANSYS 12.0:Solution Phase: 1. Define Analysis Type Solution > Analysis Type > New Analysis > Static 2. Activate prestress effects To perform an eigenvalue buckling analysis, prestress effects must be activated. Select Solution > Analysis Type > sol’n control change the [SSTIF][PSTRES] item to 'Prestress ON', which ensures the stress stiffness matrix is calculated. This is required in eigenvalue buckling
  • 25. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS
  • 26. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS Using ANSYS 12.0:Solution Phase: 3. Apply Constraints Solution > Define Loads > Apply > Structural > Displacement > On Keypoints Select Keypoint 1 and Fix Ux and Uy.
  • 27. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS Using ANSYS 12.0:Solution Phase: 3. Apply Constraints Solution > Define Loads > Apply > Structural > Displacement > On Keypoints Select Keypoint 2 and Fix in X direction.
  • 28. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS Using ANSYS 12.0:Solution Phase: 4. Apply Loads Solution > Define Loads > Apply > Structural > Force/Moment > On Keypoints The eignenvalue solver uses a unit force to determine the necessary buckling load. Applying a load other than 1 will scale the answer by a factor of the load. Apply a vertical (FY) point load of -1 ton to the top of the beam (keypoint 2).
  • 29. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS Using ANSYS 12.0:Solution Phase: 5. Solve the system Solution > Solve > Current LS
  • 30. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS Using ANSYS 12.0: Post Processing Phase: 1. Exit solution phase Close the solution menu and click FINISH at the bottom of the Main Menu. Normally at this point you enter the post processing phase. However, with a buckling analysis you must re-enter the solution phase and specify the buckling analysis. Be sure to close the solution menu and re-enter it or the buckling analysis may not function properly.
  • 31. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS Using ANSYS 12.0: Second SolutionPhase: 1. Define Analysis Type Solution > Analysis Type > New Analysis > Eigen Buckling 2. Specify Buckling Analysis Options Select Solution > Analysis Type > Analysis Options
  • 32. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS Using ANSYS 12.0: Second SolutionPhase: Complete the window as shown below: 3. Solve the system Solution > Solve > Current LS
  • 33. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS Using ANSYS 12.0: Second SolutionPhase : 4. Exit solution phase Close the solution menu and click FINISH at the bottom of the Main Menu as before Using ANSYS 12.0: Post Processing Phase: 1. View the buckling load To display the minimum load required to buckle the beam select General Postproc > List Results > Detailed Summary Buckling load as calculated before
  • 34. BUCKLING OF COLUMN WITH WELL-DEFINED END CONDITIONS Using ANSYS 12.0: Post Processing Phase: 2. Display buckling mode Select General Postproc > Read Results > Last Set to bring up the data for the last mode calculated Select General Postproc > Plot Results > Deformed Shape
  • 35. BUCKLING OF SPECIAL COLUMN 450cm Section 10 cm 10 cm P Get Pcr using approximate analysis, exact analysis, and Eigen buckling analysis in Ansys and compare? (E = 2000 t/cm2 ) P 300cm
  • 36. BUCKLING OF SPECIAL COLUMN Approximate Solution: Pcr = Π2 EI/Lmax 2 Pcr = Π2 (2000)I/4502 = 81.231 ton Ix = 10(10)3 /12 = 833.333 cm4 Exact Solution: From lecture notes : Pcr = 5.89EI/Lmin 2 = 5.89 (2000)x833.33/3002 = 109.0 ton
  • 37. BUCKLING OF SPECIAL COLUMN Using ANSYS 12.0:Preprocessing Phase: 1.Define key points Preprocessor > Modeling > create > keypoints > In active CS 450cm 1 300cm 2 3 POINT ( X , Y) 1 ( 0 , 0) 2 ( 300 , 0) 3 ( 750 , 0) Y X
  • 38. BUCKLING OF SPECIAL COLUMN Using ANSYS 12.0:Preprocessing Phase: 2. Define line between keypoints Preprocessor > Modeling > Create > Lines > Lines > In Active Coord Define line between (1 and 2) then between (2 and 3)
  • 39. BUCKLING OF SPECIAL COLUMN Using ANSYS 12.0:Preprocessing Phase: 3. Define type of element Preprocessor > Element Type > Add/Edit/Delete For this problem we will use the BEAM3 (Beam 2D elastic) element. This element has 3 degrees of freedom (translation along the X and Y axes, and rotation about the Z axis).
  • 40. BUCKLING OF SPECIAL COLUMN Using ANSYS 12.0:Preprocessing Phase: 4. Define real constants Preprocessor > Real Constants... > Add In the 'Real Constants for BEAM3' window, enter the following geometric properties: i. Cross-sectional area AREA: 100 ii. Area moment of inertia IZZ: 833.33 iii. Total Beam Height HEIGHT: 10
  • 41. BUCKLING OF SPECIAL COLUMN Using ANSYS 12.0:Preprocessing Phase: 5. Define Material Properties Preprocessor > Material Props > Material Models > Structural > Linear > Elastic > Isotropic In the window that appears, enter the following geometric properties : i. Young's modulus EX: 2000 ii. Poisson's Ratio PRXY: 0.3 6. Define Mesh Preprocessor > Meshing > Size Cntrls > ManualSize > Lines > All Lines... For this example we will specify an element edge length of 10 cm (10 element divisions along the line). 7. Apply Mesh Preprocessor > Meshing > Mesh > Lines > click 'Pick All'
  • 42. BUCKLING OF SPECIAL COLUMN Using ANSYS 12.0:Solution Phase: 1. Define Analysis Type Solution > Analysis Type > New Analysis > Static 2. Activate prestress effects To perform an eigenvalue buckling analysis, prestress effects must be activated. Select Solution > Analysis Type > sol’n control change the [SSTIF][PSTRES] item to 'Prestress ON', which ensures the stress stiffness matrix is calculated. This is required in eigenvalue buckling
  • 44. BUCKLING OF SPECIAL COLUMN Using ANSYS 12.0:Solution Phase: 3. Apply Constraints Solution > Define Loads > Apply > Structural > Displacement > On Keypoints Select Keypoint 1 and Fix Ux and Uy.
  • 45. BUCKLING OF SPECIAL COLUMN Using ANSYS 12.0:Solution Phase: 3. Apply Constraints Solution > Define Loads > Apply > Structural > Displacement > On Keypoints Select Keypoint 2 and 3, then Fix Uy.
  • 47. BUCKLING OF SPECIAL COLUMN Using ANSYS 12.0:Solution Phase: 4. Apply Loads Solution > Define Loads > Apply > Structural > Force/Moment > On Keypoints The eignenvalue solver uses a unit force to determine the necessary buckling load. Applying a load other than 1 will scale the answer by a factor of the load. Apply a vertical (Fx) point load of -1 ton to the top of the beam (keypoint 3).
  • 48. BUCKLING OF SPECIAL COLUMN Using ANSYS 12.0:Solution Phase: 5. Solve the system Solution > Solve > Current LS
  • 49. BUCKLING OF SPECIAL COLUMN Using ANSYS 12.0: Post Processing Phase: 1. Exit solution phase Close the solution menu and click FINISH at the bottom of the Main Menu. Normally at this point you enter the post processing phase. However, with a buckling analysis you must re-enter the solution phase and specify the buckling analysis. Be sure to close the solution menu and re-enter it or the buckling analysis may not function properly.
  • 50. BUCKLING OF SPECIAL COLUMN Using ANSYS 12.0: Second SolutionPhase: 1. Define Analysis Type Solution > Analysis Type > New Analysis > Eigen Buckling 2. Specify Buckling Analysis Options Select Solution > Analysis Type > Analysis Options
  • 51. BUCKLING OF SPECIAL COLUMN Using ANSYS 12.0: Second SolutionPhase: Complete the window as shown below: 3. Solve the system Solution > Solve > Current LS
  • 52. BUCKLING OF SPECIAL COLUMN Using ANSYS 12.0: Second SolutionPhase : 4. Exit solution phase Close the solution menu and click FINISH at the bottom of the Main Menu as before Buckling load as calculated before Using ANSYS 12.0: Post Processing Phase: 1. View the buckling load To display the minimum load required to buckle the beam select General Postproc > List Results > Detailed Summary
  • 53. BUCKLING OF SPECIAL COLUMN Using ANSYS 12.0: Post Processing Phase: 2. Display buckling mode Select General Postproc > Read Results > Last Set to bring up the data for the last mode calculated Select General Postproc > Plot Results > Deformed Shape
  • 54. SECOND ORDER ANALYSIS 200cm Section 50 cm 30 cm 10ton Get the value of max bending moment and deflection using : first order analysis, exact analysis, and ANSYS? (E = 2000 t/cm2 ( 300cm 300cm 10ton P = 80 ton P = 80 ton
  • 55. SECOND ORDER ANALYSIS Using first order Analysis: Mmax = 3000 t.cm Ymax = 0.312 cm Exact Solution: From lecture notes : using superposition or exact analysis: Mmax = 3025 t.cm Ymax = 0.3146 cm
  • 56. SECOND ORDER ANALYSIS Using ANSYS 12.0:Preprocessing Phase: 1.Define key points Preprocessor > Modeling > create > keypoints > In active CS 1 2 4 POINT ( X , Y) 1 ( 0 , 0) 2 ( 300 , 0) 3 ( 500 , 0) 4 ( 800 , 0) Y X 200cm 10ton 300cm 300cm 10ton 3
  • 57. SECOND ORDER ANALYSIS Using ANSYS 12.0:Preprocessing Phase: 2. Define line between keypoints Preprocessor > Modeling > Create > Lines > Lines > In Active Coord Define line between (1 and 2( then between (2 and 3( then between (3 and 4(
  • 58. SECOND ORDER ANALYSIS Using ANSYS 12.0:Preprocessing Phase: 3. Define type of element Preprocessor > Element Type > Add/Edit/Delete For this problem we will use the BEAM3 (Beam 2D elastic( element. This element has 3 degrees of freedom (translation along the X and Y axes, and rotation about the Z axis(.
  • 59. SECOND ORDER ANALYSIS Using ANSYS 12.0:Preprocessing Phase: 4. Define real constants Preprocessor > Real Constants... > Add In the 'Real Constants for BEAM3' window, enter the following geometric properties: i. Cross-sectional area AREA: 1500 ii. Area moment of inertia IZZ: 312500 iii. Total Beam Height HEIGHT: 50
  • 60. SECOND ORDER ANALYSIS Using ANSYS 12.0:Preprocessing Phase: 5. Define Material Properties Preprocessor > Material Props > Material Models > Structural > Linear > Elastic > Isotropic In the window that appears, enter the following geometric properties : i. Young's modulus EX: 2000 ii. Poisson's Ratio PRXY: 0.3 6. Define Mesh Preprocessor > Meshing > Size Cntrls > ManualSize > Lines > All Lines... For this example we will specify an element edge length of 10 cm (10 element divisions along the line(. 7. Apply Mesh Preprocessor > Meshing > Mesh > Lines > click 'Pick All'
  • 61. SECOND ORDER ANALYSIS Using ANSYS 12.0:Solution Phase: 1. Define Analysis Type Solution > Analysis Type > New Analysis > Static 2. Activate prestress effects To perform an large deflection analysis, prestress effects must be activated. Select Solution > Analysis Type > sol’n control change the [SSTIF][PSTRES] item to 'Prestress ON', which ensures the stress stiffness matrix is calculated. This is required in eigenvalue buckling analysis.
  • 63. SECOND ORDER ANALYSIS Using ANSYS 12.0:Solution Phase: 3. Apply Constraints Solution > Define Loads > Apply > Structural > Displacement > On Keypoints Select Keypoint 1 and Fix Ux and Uy.
  • 64. SECOND ORDER ANALYSIS Using ANSYS 12.0:Solution Phase: 3. Apply Constraints Solution > Define Loads > Apply > Structural > Displacement > On Keypoints Select Keypoint 4, then Fix Uy.
  • 66. BUCKLING OF SPECIAL COLUMN Using ANSYS 12.0:Solution Phase: 4. Apply Loads Solution > Define Loads > Apply > Structural > Force/Moment > On Keypoints Apply -10 tons at points (2 and 3( in Fy direction.
  • 67. SECOND ORDER ANALYSIS Using ANSYS 12.0:Solution Phase: 5. Solve the system Solution > Solve > Current LS
  • 68. SECOND ORDER ANALYSIS Using ANSYS 12.0: Post Processing Phase: 1. Exit solution phase Close the solution menu and click FINISH at the bottom of the Main Menu. Normally at this point you enter the post processing phase. However, with a buckling analysis you must re-enter the solution phase and specify the buckling analysis. Be sure to close the solution menu and re-enter it or the buckling analysis may not function properly.
  • 69. SECOND ORDER ANALYSIS Using ANSYS 12.0: Post Processing Phase: 1. Display deformed shape select General Postproc > Plot Results > Deformed Shape Max y = 0.3148 cm
  • 70. SECOND ORDER ANALYSIS Using ANSYS 12.0: Post Processing Phase: 2. Display moment select General Postproc > element table > define table
  • 72. SECOND ORDER ANALYSIS Using ANSYS 12.0: Post Processing Phase: 2. Display moment select General Postproc > element table > plot elem table
  • 73. SECOND ORDER ANALYSIS Max Moment = 3025 t.cm
  • 74. BUCKLING OF FRAMES Section 50 cm 30 cm 600cm 600cm P P Get Pcr using Eigen buckling analysis in Ansys and compare with manual solution? (E = 2000 t/cm2 ( Also, compare with the value extracted from alignment charts.
  • 75. BUCKLING OF FRAMES Exact Solution: Pcr = 1.815EI/L2 = 1.82x2000x I /6002 = 3151 ton I = 30(50(3 /12 = 312500 cm4 Using Alignment Charts: For sway frame Case: GA = 10 GB = EI/Lcol/EI/Lbeams = 1 K = 1.88 Pcr = 1.88EI/L2 = 1.83x2000x I /6002 = 3264 ton
  • 76. BUCKLING OF FRAMES Using ANSYS 12.0:Preprocessing Phase: 1.Define key points Preprocessor > Modeling > create > keypoints > In active CS POINT ( X , Y) 1 ( 0 , 0) 2 ( 0 , 600) 3 ( 600 , 600) 4 ( 600 , 0) 2 3 1 4X Y
  • 77. BUCKLING OF FRAMES Using ANSYS 12.0:Preprocessing Phase: 2. Define line between keypoints Preprocessor > Modeling > Create > Lines > Lines > In Active Coord
  • 78. BUCKLING OF FRAMES Using ANSYS 12.0:Preprocessing Phase: 2. Pick points 1,2 then 2,3 then 3,4
  • 79. BUCKLING OF FRAMES Using ANSYS 12.0:Preprocessing Phase: 3. Define type of element Preprocessor > Element Type > Add/Edit/Delete For this problem we will use the BEAM3 (Beam 2D elastic) element. This element has 3 degrees of freedom (translation along the X and Y axes, and rotation about the Z axis).
  • 81. BUCKLING OF FRAMES Using ANSYS 12.0:Preprocessing Phase: 4. Define real constants Preprocessor > Real Constants... > Add In the 'Real Constants for BEAM3' window, enter the following geometric properties: i. Cross-sectional area AREA: 1500 ii. Area moment of inertia IZZ: 312500 iii. Total Beam Height HEIGHT: 50
  • 83. BUCKLING OF FRAMES Using ANSYS 12.0:Preprocessing Phase: 5. Define Material Properties Preprocessor > Material Props > Material Models > Structural > Linear > Elastic > Isotropic In the window that appears, enter the following geometric properties : i. Young's modulus EX: 2000 ii. Poisson's Ratio PRXY: 0.3
  • 84. BUCKLING OF FRAMES Using ANSYS 12.0:Preprocessing Phase: 6. Define Mesh Preprocessor > Meshing > Size Cntrls > ManualSize > Lines > All Lines... For this example we will specify an element edge length of 10 cm (10 element divisions along the line).
  • 85. BUCKLING OF FRAMES Using ANSYS 12.0:Preprocessing Phase: 7. Apply Mesh Preprocessor > Meshing > Mesh > Lines > click 'Pick All'
  • 87. BUCKLING OF FRAMES Using ANSYS 12.0:Solution Phase: 1. Define Analysis Type Solution > Analysis Type > New Analysis > Static 2. Activate prestress effects To perform an eigenvalue buckling analysis, prestress effects must be activated. Select Solution > Analysis Type > sol’n control change the [SSTIF][PSTRES] item to 'Prestress ON', which ensures the stress stiffness matrix is calculated. This is required in eigenvalue buckling
  • 89. BUCKLING OF FRAMES Using ANSYS 12.0:Solution Phase: 3. Apply Constraints Solution > Define Loads > Apply > Structural > Displacement > On Keypoints Select Keypoint 1 and 4 and Fix Ux and Uy.
  • 91. BUCKLING OF FRAMES Using ANSYS 12.0:Solution Phase: 4. Apply Loads Solution > Define Loads > Apply > Structural > Force/Moment > On Keypoints The eignenvalue solver uses a unit force to determine the necessary buckling load. Applying a load other than 1 will scale the answer by a factor of the load. Apply a vertical (FY) point load of -1 ton to the top of the beam (keypoint 2 and 3).
  • 93. BUCKLING OF FRAMES Using ANSYS 12.0:Solution Phase: 5. Solve the system Solution > Solve > Current LS
  • 94. BUCKLING OF FRAMES Using ANSYS 12.0: Post Processing Phase: 1. Exit solution phase Close the solution menu and click FINISH at the bottom of the Main Menu. Normally at this point you enter the post processing phase. However, with a buckling analysis you must re-enter the solution phase and specify the buckling analysis. Be sure to close the solution menu and re-enter it or the buckling analysis may not function properly.
  • 95. BUCKLING OF FRAMES Using ANSYS 12.0: Second SolutionPhase: 1. Define Analysis Type Solution > Analysis Type > New Analysis > Eigen Buckling 2. Specify Buckling Analysis Options Select Solution > Analysis Type > Analysis Options
  • 96. BUCKLING OF FRAMES Using ANSYS 12.0: Second SolutionPhase: Complete the window as shown below: 3. Solve the system Solution > Solve > Current LS
  • 97. BUCKLING OF FRAMES Using ANSYS 12.0: Second SolutionPhase : 4. Exit solution phase Close the solution menu and click FINISH at the bottom of the Main Menu as before Using ANSYS 12.0: Post Processing Phase: 1. View the buckling load To display the minimum load required to buckle the beam select General Postproc > List Results > Detailed Summary Buckling load as calculated before
  • 98. BUCKLING OF FRAMES Using ANSYS 12.0: Post Processing Phase: 2. Display buckling mode Select General Postproc > Read Results > Last Set to bring up the data for the last mode calculated Select General Postproc > Plot Results > Deformed Shape
  • 99. HOME WORK 400cm Column Section 40 cm 20 cm P P Get Pcr using Eigen buckling analysis in Ansys and compare with manual solution? (E = 2100 t/cm2 )
  • 100. HOME WORK 700cm Section 20 cm 20 cm P Get Pcr using approximate analysis, exact analysis, and Eigen buckling analysis in Ansys and compare? (E = 2000 t/cm2 ) P 350cm EI 2EI
  • 101. HOME WORK Section 60 cm 25 cm Get the value of max bending moment and deflection using : first order analysis, exact analysis, and ANSYS? (E = 2000 t/cm2 ) 400cm 400cm 10ton P = 90 ton P = 90 ton