I've seen that it can do kinematics, i.e. constraints and animation, but what about forces between parts that can be used for FEA?
Speaking of FEA, does SE Premium include nonlinear analysis?
I have tio say that Siemens' written materials are frustratingly light on details of the s/w's capabilities.
look into a Solid Edge Add-on called Dynamic Designer.
Solid Edge includes a module called Simply Motion. It is a teaser package provided by Dynamic Designer folks that Matt pointed you to. It is said that you can get forces out of it by generating some report but I don't remember the process to do so. As Matt said, get Dynamic Designer. It will find the peak forces and output them as loads in Solid Edge Simulation automatically.
As far as non-linear in Solid Edge Simulation, it does not have it yet. You would need to use FEMAP or another analysis package that has non-linear capabilities.