Down here in Atlanta. Installed an 18' LVL to join two living rooms in my 1960s brick ranch. Used joist hangers on most of the 2"x8" ceiling joists, but there is a small number of joists from the previous doorway that spanned roughly 5'. The ceiling joists in this section were notched and rested on a ledger. I've reached out to the engineer who provided my original recommendation letter for permitting, but haven't heard back for some time. I also reached out the County inspection supervisor and I'm awaiting his feedback/recommendation.
I'm wondering if I can glue and screw a block shim in the ceiling joist notched from the ledger then hang the modified joist in a joist hanger fastened to the new LVL, or if I should sister a new joist at the end of the notched joist and fasten the new sister joist end to the LVL with a hanger. The existing ceiling joists are ~12' on both sides. I'm also wondering what is the appropriate length of the new sistered joists, I've read any where from 3' to 2/3 the length of the original joist.