Strengthening skillion roof

I have a room 7m long X 3m wide. The room is an addition to the original house so it backs onto a what used to be double brick external wall on two sides. The now external wall is also double brick. The roof line is skillion.

There's a spanning beam that runs the full length of the room. The old eave rafters still extrude into the roof of the extension.

Because it's skillion the ceiling joists are quite low. Some of the Jarrah is a bit dodgy it's still structurally ok but not good enough to hang gyprock from, some of it's its a bit warped. So I would need to put in ceiling hangers which is gonna drop it even further.

What I would like to do without too much expense is get rid of the ceiling joists and have a skillion ceiling. However the spanning beam wont allow that.

Questions:

How could I strengthen the roof so I was able to remove the spanning beam?

I would also need to cut the eave rafters back. I'm just curious if there’s any structural reason for eave rafters and their length..


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