Suppose you had a roof that was a simple gable roof spanning 20 feet or so. The rafters are 2x8, the ridge board is 2x10 and the collar ties/ceiling joists are 2x6.
Now suppose there was a wall that went perp to the collar ties/ceiling joists and you wanted to get rid of that wall. Obviously, the collar ties/ceiling joists would sag.
I am thinking that the quickest, easiest, cheapest and fastest way to beef up the collar ties/ceiling joists would be to fasten a 2x4, or some such animal, connecting the collar ties/ceiling joists to the ridge board.
After all, it is only the weight of the collar ties/ceiling joists and the sheetrock. Lets say that the rafters are on 24" centers and ceiling joists are on 16" centers. I can't recall exactly, but that is probably the worse case scenario. Best would be if both were 16" centers and well nailed all around.
It beats the hell out of squirreling a long strongback up through an access hole in the hallway.