I'm going to remove 16 foot of 2x4 wall and replace it with a beam in the attic. The wall is 16" on center. The roof joists are 2x6 and are perpendicular to the wall. The attic is all joists (no trusss). I want to place the beam in the attic on top of the roof joists and use joist hangers to support the ceiling. This way I have no beam in the room and the existing ceiling joists are not cut.