1. COMPARISON OF THE LINEAR
BUCKLING ANALYSIS FOR DIFFERENT
THICKNESS OF A FLAT PLATE
Name : Muhammad bin Ramlan
Matrix No. : P 57600
Subject : Finite Element Method In Civil Engineering
Year : 2011 / 2012
Lecturer : Prof Ir Dr Wan Hamidon bin Wan Badaruzzaman

2. Objective
1. Analyse the effect of buckling load for a
different thickness types of flat plate
subjected to in-plane compressive loading.
2. Discuss the result of the analysis prior to the
experiment.
COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT THICKNESS OF A FLAT PLATE

3. Problem Definition
No Item Plate 1 Plate 2
.
1 Plate Size 2 m x 0.5 m 2 m x 0.5 m
2 Plate Thickness 1 mm 5 mm
3 Young Modulus 70E9 N/m2 70E9 N/m2
4 Poisson Ratio 0.3 0.3
5 Support Type Simply supported at all sides. Simply supported at all sides.
6 Load 24N of in-plane compressive 24N of in-plane compressive load
load is applied to one of the is applied to one of the short
short edges, parallel to the long edges, parallel to the long sides.
sides.
COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT THICKNESS OF A FLAT PLATE

4. Description of LUSAS
• LUSAS is a finite element analysis software
program which can solve all types of linear and
nonlinear stress, dynamics, composite and
thermal engineering analysis problems. The main
components of the LUSAS are:
– LUSAS Modeller - a fully interactive graphical
user interface for model building and viewing of
results from an analysis.
– LUSAS Solver - a powerful finite element
analysis engine that carries out the analysis of the
problem defined in LUSAS Modeller.
COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT THICKNESS OF A FLAT PLATE

5. Finite Element Modelling
• The finite element modelling using LUSAS was run as per below:
– Creating a new model
– Inserting the feature geometry
– Select the meshing
– Specifying the geometric properties
– Specifying the material properties
– Specifying the support applied
– Select the loading applied to the element
– Eigenvalue analyst control
– Saving the model
– Running the Analysis
– Printing the buckling load factor
– Calculating the critical buckling load
COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT THICKNESS OF A FLAT PLATE

6. Result : Plate 1 (1mm thickness)
• A Loading Distribution On Plate 1
COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT THICKNESS OF A FLAT PLATE

7. Result : Plate 1 (1mm thickness)
• Deformed Mesh Layers On Plate 1
COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT THICKNESS OF A FLAT PLATE

8. Result : Plate 1 (1mm thickness)
• Eigenvalue Result Value for Plate 1
COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT THICKNESS OF A FLAT PLATE

9. Result : Plate 2 (5mm thickness)
• Loading Distribution On Plate 2
COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT THICKNESS OF A FLAT PLATE

10. Result : Plate 2 (5mm thickness)
• Deformed Mesh Layers On Plate 2
COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT THICKNESS OF A FLAT PLATE

11. Result : Plate 2 (5mm thickness)
• Eigenvalue Result Value for Plate 2
COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT THICKNESS OF A FLAT PLATE

12. Result : Overall
Plate Compressive
Mode Load Factor Buckling Load (N)
thickness Load (N)
1 24 19.8891 477.34
1mm 2 24 21.1524 507.66
3 24 21.318 511.63
1 24 159.113 59667.36
5mm 2 24 169.234 63460.32
3 24 170.544 63954.00
COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT THICKNESS OF A FLAT PLATE

13. Conclusion
1. It can be concluded that different types of
material properties will cause different types
of buckling effects.
2. From the analysis, a thicker flat plate will
provide a larger buckling value. Whilst for a
thin flat plate, the buckling value will be
smaller.
COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT THICKNESS OF A FLAT PLATE