This is a trick question. There is no shear flow along that plane. This is not a composite section in the way you typically think of it. The neutral axis of all three parts are the same, therefore the welds only ensure that the pieces deflect together, nothing more.
To convince yourself, just look at Ipl + Ipl + IWF and you'll get the same answer as if you try to look at this as a composite section.
If you want to put numbers to this weld, I would determine how much of the load each plate takes (in plf), then size a skip weld to transfer that force (plf) into each plate.