I had a problem with a 100x100x3 square pipe collapse. See attached picture and static scheme. The problem is referred to understand the failure mode: resistance or local buckling. The pipe is undersized but, designing the new one (maybe 100x100x6 or 8 thickness - Outer dimenions shall be 100x100) I want to be sure that there will not be problem referred to local buckling.
What kind of analysis will be more near to the real conditions? I think non-linear buckling.
Other problem is related to the loads because they are transmitted by a contact

Comments
If you send me the loads I can give some guidance on the equations.