This is a follow on question from here:
Floor joists connection to eaves
Since this question, I have been told I need 8" joists for my span and I have exposed my eaves area to see what space I've got.
Not much. From the face of the brick (internally) to touching the felt going out, just over 3". From the inner face of the brick to touching the felt going up, just over 3". I basically have a triangular space with 3" depth and height.

From what I can guess, this doesn't seem like enough space to try and fit an 8" joist into. If I cut the joist to fit that gap I believe I simply wouldn't have enough material in play to resist shearing stresses.
What I am after is something like a reverse joist hanger. Hangers hook onto a receiving entity and hold the joist in a cup.
What I need is something like a joist splice as shown here:
http://www.joist-repair.co.uk/
But that instead of connecting two joists, simply connects on the end of a joist and extends outwards. I've drawn what I'd like to try and find:

My theory being that a steel bracket occupying the small space will have much better strength than the joist with little material. So basically, it's some form of extension bracket.
Is there any such device or other way to solve this issue without affecting changes to the eaves area of the roof?
