Tony's method is as good a monolithic 7 x 2 joist as you are going to get with out actually using a new joist, you will recall from your youtube video that the neutral axis is in the centre of the beam meaning no stresses and whilst your joint is not in the exact centre it is not far out and friction/compression stresses in that area will be small compared with the outer faces.Yeah that's why I referenced it, thanks for the link - I've saved the sketch tony1851 posted. If I'm honest I'm quite happy to do that myself, I just need to clear it all out first and take up the old insulation to see what I'm dealing with in full. Not looking forward to that bit as it's like a Saharan sandstorm up there as a chimney stack was taken out years ago and everything you can imagine is still circling around up there. Henry the vacuum to the rescue!
Thanks again for the help. Might post back when it's done...
Running the calcs (hopefully with no mistakes) in theory with a 7 x 2 beam you can actually load the beams so the floor is imposing a load of 150kg/m2 (as opposed to just the ceiling load of 10kg/m2) and the deflection would be in line with what it is now i.e.<1mm but I would suggest improving the single nail fixing of the hangers
