XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX''"> Exercise 3 - Buckling of a Fixed Pinned Beam
In this analysis you will be determining the eigenvalue buckling load for a fixed/simply - supported beam. After running the analysis, you will compare these results to the theoretical prediction. Once again, you will use the model built in Exercise 1 - Build a Cantilever Beam for this analysis.
Step 1: Do Exercise 1 - Build a Cantilever Beam
Step 2: Open a New Database
Step 3: Import the Old Database
Step 4: Post Only the Beam
Step 5: Apply Additional Boundary Conditions
Step 6: Add a Unit Compression Load
Step 7: Group Loads into Load Cases
Step 8: Create Static and Buckling Analysis Load Steps
Note: | The difference between a load case and an analysis Load Step is only the amount of information they contain. A load case is only a collection of loads and boundary conditions (forces, displacements, contact, pressures, temperatures, etc.). The Load Step is a super set of the load case. A load case must be associated to a Load Step plus all the analysis setup parameters, output requests, solution type, etc. |
Step 9: Submit the Buckling Analysis
Step 10: Monitor the Analysis
Step 11: Read the Results
Step 12: Postprocessing the Results
The following plot should appear:
FEA Results
The total buckling load is the eigenvalue multiplied by the applied load. In this case, the total applied load is 1.0 and the eigenvalue can be found on the results case name on the results form.
The theoretical prediction for this case is:
C = A function of end constraint. For this case C = 2.05
Compare the results between the theoretical and finite element approach. The Eigenvalue is within six percent.
Theoretical | Marc |
40471 | 42907 |
Step 13: Closing/Quitting Patran
