Yes, Denis, it is possible to analyze this, but you will have to use solid elements with material plasticity, and also large deformation analysis + contact analysis. If you want to model the plastic collapse, you cannot model the load using a "load", instead, you will need to model the load using an enforced displacement.
The nonlinear solver is sensitive to mesh, I advise to use brick/wedge elements to model the beam.
Here are a few pictures from a plastic collapse analysis I did a few years ago. I recall that I also had an animation, but I can't seem to find it. Unfortunately I can't run Creo where I sit now, so I can't re-create these results.
In this case I have no contacts, but the load is axial, and what you see here is post-critical behavior, if you enforce a vertical displecement, along the edge of the beam end.