To simulate the structural loss of stability using FEA you have to follow a nonlinear analysis (geometrically nonlinear). The linearized one (Euler Buckling) do not simulate the perturbations and only gives the upper bond on axial force and its mode.
You may also need to look at a good book for the fundamentals, but for the simulation you can start by following the manual. If you consider APDL, a good start point is the Ualberta page http://www.mece.ualberta.ca/tutorials/ansys/IT/Buckling/Buckling.html
But if for Workbench environment it should have also some videos at YouTube.
Hope it helps and others can complement this suggestion.
This sounds like a limit analysis question - finding the collapse load for your structure? This can be done in a number of ways and if you are using conventional FE like ANSYS then you can conduct an incremental non-linear static analysis with some form of plasticity defined and possibly with large-displacements switched on. I'd be interested to hear more about your structure and possibly a diagram?