The actual design of the bird s mouth cut will vary in both length and depth according to the width of the top plate the angle of the roof the design of the roof overhang and also the use of framing connectors.
Lean to roof birdsmouth.
The number of inches that the roof rises vertically for every foot of roof.
Calculate the roof pitch.
So use a tape measure to find the height of the roof above the top wall of the building.
Simple jig to cut your birds mouth notches.
The birdsmouth joint also called the birds beak cut or birds beak joint is a small triangular shaped cut out at the base of a roofing joist that allows the joist to sit nicely on top of the wall plate top of the wall before the roof starts.
To make it easier before you start to measure mark and cut print these templates fold over some scrap wood same size as rafters and cut through the paper to form the correct plumb and side cuts for common hip and creeper rafters.
Please consult a professional before making any cuts i am not a professional framer or roofer nor do i claim to be.
The run for a lean to shed rafter ending into a wall should account for the ridge board nailed into the wall where the tops of the rafters rest into.
This is a way of measuring the degree of steepness of the roof.
This trick worked for me.
The pitch of the roof is a ratio.