I would call that joint a let-in sometimes used to place minor pieces in an existing larger framework. For instance, I have found posts that were notched in that fashion to secure wall purlins as a nail base for vertical siding. I would not approve of that joint as illustrated for supporting floor joist. Look for other technique such as ledgers, tusk tenon, soffit tenon, direct bearing, half height etc. I have two objection to the illustrated joint: no level bearing and the beam is weakened by substantial cutting of the upper portion of the beam.