A diminished housing offers a way to dress up your frame as well as take less time to cut in the shop. Here is a example of one using a 1″ shoulder.
This is an exploded view of a rafter foot and seat on a plate. Here you can see the plate with post below. And the rafter with a notch cut into the back side of the plate for the rafter foot is sit on. The toe of the rafter has been trimmed to the outside [...]
This is an exploded view of a half dovetail tie beam tenon and the post it connects to. The housing in the post is a diminished haunch. The wedge is usually made of hardwood.