Our ceiling has 24" OC joists, and we are adding a mini split ceiling cassette that needs 16" OC joists.
Can I add a "partial" ceiling joist to support the mini split? That is could I add two cross braces/members and then a joist that only spans 5 feet to support the mini split? I've illustrated this in the image below.
Or, if adding a joist would it have to run the full span (20')? Or is there a better way to support the mini split?