The document provides an overview of buckling analysis in ANSYS. It discusses buckling of columns with well-defined end conditions, buckling of a special column, and second order analysis of a simple beam. The preprocessing, solution, and postprocessing phases of ANSYS are outlined. Step-by-step instructions are given for modeling each example and obtaining the buckling load using eigenvalue buckling analysis. Manual calculations are also shown for comparison.
Finite Element Analysis Lecture Notes Anna University 2013 Regulation NAVEEN UTHANDI
One of the most Simple and Interesting topics in Engineering is FEA. My work will guide average students to score good marks. I have given you full package which includes 2 Marks and Question Banks of previous year. All the Best
For Guidance : Comment Below Happy to Teach and Learn along with you guys
Analysis and Design of Residential building.pptxDP NITHIN
Complete introduction to the design and design concepts, design of structural
members like slabs, beams, columns, footing etc. along with their calculation and
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constant strain triangular which is used in analysis of triangular in finite element method with the help of shape function and natural coordinate system.
Finite Element Analysis Lecture Notes Anna University 2013 Regulation NAVEEN UTHANDI
One of the most Simple and Interesting topics in Engineering is FEA. My work will guide average students to score good marks. I have given you full package which includes 2 Marks and Question Banks of previous year. All the Best
For Guidance : Comment Below Happy to Teach and Learn along with you guys
Analysis and Design of Residential building.pptxDP NITHIN
Complete introduction to the design and design concepts, design of structural
members like slabs, beams, columns, footing etc. along with their calculation and
Detailing through structural drawings.
constant strain triangular which is used in analysis of triangular in finite element method with the help of shape function and natural coordinate system.
Stress Analysis of Functionally Graded Disc Brake Subjected To Mechanical Loa...IJMER
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CFD technology offers an appealing option to help in the design and
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The part is axisymmetrically modeled in solidworks(2D) before importing to ansys workbench where the boundary zones are identified and appropriate mesh settings is applied. The model is then imported in Fluent for analysis . Significant setting changes are Density based solver , Enhanced Eddy viscosity model with near wall treatment , solution steering , FMG initialization etc.
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The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
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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
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).
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
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
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
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.
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
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
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).
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
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