Need some design help: mudroom bench
Okay, we're about ready to start our mudroom renovation project and I've got an idea how I want to do the wrap-around bench it will require. I've attached a VERY crudely drawn pic of the basic concept. Be nice...I'm a fair 2D draftsman and can bang out some decent isometric stuff as well, but drawing an isometric view of a curved object is well beyond my abilities. This was only to give you an picture of where I'm going.
My question: I'll probably make the support pieces out of glued-up plywood. Obviously, all the supports will be the same size and shape as long as you're staying in the same plane, but does anyone know how I can calculate the shape where the two planes intersect in the middle? Any support piece near that corner will have to be a different shape because it will be rotated 45 degrees.
I guess another way to look at this question is to ask how I should calculate the length and cut angle of the horizontal pieces so they'll intersect perfectly at the middle corner?
I suppose I could just build one side of the bench, leaving all the horizontal pieces long and then use a flexible straight edge to snap a line at 45 degrees. Then use the resulting edge to determine the shape of the support plywood underneath it. Best choice?
(but I've got a wife who lets me buy any tool I want!)