I've never heard of firestopping for cellar partitions, but it makes sense as shown in the diagram. The idea is just to block any route that fire could take to spread quickly through the house. So that's how you can think of it: If there's a space you can block it. But if you're putting up a partition with drywall ceiling on each side, there's no space for fire to go through. There's drywall on each side and wood in the middle. The picture you linked shows firestopping to prevent a cellar fire from jumping into and across the floor above, from behind the partition.
For your purposes you'd probably want plywood. If you were going to use drywall it would need to be on the other side of the partition wall, not under it. In other words, you shouldn't use drywall as part of the structure.
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| I know I need to install fire stopping (1/2" sheetrock) above the top plate and along the perimeter of my basement as I install framing, per this image (which shows 3/4" OSB instead of sheetrock): |
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| | But, do I need to install the same type of fire stopping (i.e. sheetrock layer) above the top plate of partition walls that I'm building within (i.e. interior walls) the basement?? | | Thanks | Theodore | | | | | |