second story of house built on existing flat roof
My home, which is about 40 years old, started as a one story home. Some years ago, a second story addition was built on top of the existing roof. Every thing seems structurally sound. However, the floor is not level. It has the pitch of the original roof (1/8 inch per foot) left the floor unlevel.
The master bedroom is 15 x 20 feet, so the drop is noticeable - about 3 inches.
I want to level the floor.
What are my options. I was considering
1. Pulling up the plywood flooring, then sister nailing 2x8's to the existing 2x12's to level the floor, then replace the sheathing.
2. trying to cut a 2x6 (20') on a diagonal. A lot of work and difficult to nail to the existing studs without splitting the wood.
3. Nailing sucessively thicker strips directly to the existing subfloor (opposite direction of the joists) 12 inches apart then add a new plywood subfloor to this.
Give me your thoughts on this one.