Non composite. It is somewhere between fixed-fixed and fixed-free. Moment or shear controls depending on the loading type. I always use southern pine. The point load limit is something on the order of 1400# (I'm going from memory, maybe I'm a little off)
If you think too hard about this your head will explode. Specifically - load transfer from floor to floor, and point loads under trusses / joists.
I use southern pine #1 top plates and limit stud spacing to 16" o.c. I specify cripples over studs so that the wall loads from upper floors transfer through to the studs, not the top plates. Using this you should be good for most cases unless you have a wall picking up long spans on each side.
When I am working on a problem, I never think about beauty but when I have finished, if the solution is not beautiful, I know it is wrong.
-R. Buckminster Fuller