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Buckling Worked Example


Consider a universal column 203mm x 203mm x 46.1 kg/m with a flange thickness of 11mm and web thickness of 7.2mm. The height of the column is 10m and has load applied on to a pinned joint on top and is fixed in concrete at its base. Calculate the load necessary to induce the column to buckle.​
Picture
Picture
The calculated buckling load is 636 kN

Now we can compare this to the FEA model. The beam was constructed with brick elements and fixed at the base with a constraint and load at the top.
Picture
Picture
​The eigenvalue for mode 1 is 631.66. To find the load that will cause the column to buckle you just multiply the applied load by the eigenvalue.

Since 1000 N or 1 KN was applied to the model this means that the buckling load is 631.66 KN. 

The hand calculated buckling load was 636 KN and the FEA buckling load was 632 KN.
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  • Value Design Ltd
  • Services
  • Projects
  • Finite Element Analysis
    • Introduction to Basic FEA
    • Units
    • Co-ordinate Systems
    • FEA Procedure
    • Defining Objectives
    • Stress Concentration
    • Geometry import / clean up
    • Meshing
    • Material Properties
    • Boundary Conditions
    • Solvers
    • Investigating FEA Results
    • Reporting
    • Stress Theories
    • Cantilever Beam Worked Example
    • Pressure Vessel Worked Example
    • Shaft in Torsion Worked Example
    • Buckling Worked Example
    • Bearing (Contact) Worked Example
    • Non Linear Material Worked Example
    • Portal Frame Worked Example
  • BLOG
  • FAQ
    • What is FEA?
    • How much does FEA cost?
    • Should I de-feature CAD geometry prior to FEA?
    • What information should I send to you for an FEA quotation?
  • CONTACT