Hi Rusty,
I looked at the responses from two years ago.
The suggestion was to "half-lap" a single layer of 3/4" thick plywood strips together. Basically, you would have three strips each six feet long or so, then cut away half of the thickness for six inches on each end, so that the last six inches of the plywood strip is 3/8" inches thick. This is the half part. Then you glue the halves together and it is 3/4" thick where they overlap. This is the lap part.
However, looking at your picture, there is nothing to keep this whole thing from sagging down away from the wall. Something will have to be done to support the load of this shelf. As drawn, it will not stay up.
Think of what you're proposing as a shelf with a heavy front edge, because that's really what it is.
Shelf supports, or corbels, or something is needed to transfer the load of the shelf to the wall studs. Even a single cleat attached to each stud, and then a length of plywood attached to the cleat and then the shelf will help.
I looked at the responses from two years ago.
The suggestion was to "half-lap" a single layer of 3/4" thick plywood strips together. Basically, you would have three strips each six feet long or so, then cut away half of the thickness for six inches on each end, so that the last six inches of the plywood strip is 3/8" inches thick. This is the half part. Then you glue the halves together and it is 3/4" thick where they overlap. This is the lap part.
However, looking at your picture, there is nothing to keep this whole thing from sagging down away from the wall. Something will have to be done to support the load of this shelf. As drawn, it will not stay up.
Think of what you're proposing as a shelf with a heavy front edge, because that's really what it is.
Shelf supports, or corbels, or something is needed to transfer the load of the shelf to the wall studs. Even a single cleat attached to each stud, and then a length of plywood attached to the cleat and then the shelf will help.