I'm working on a plan for an open framed roof on a 10' x 10' gazebo using 2x6 rafters. I'm leaning toward using a 4' ridge rafter to create a rectangle hip roof. I like the idea of fastening a 2x6 exterior rim band around posts at top, with a 2x4 (maybe double) top plate attached to it and the top of posts.
1) Will this be sufficient for roof to be self supporting, i.e. no cross ties and adequate to offset any potential for splaying at the walls?
2) I know there is no one answer to this second question, but what might you suggest as a reasonable rise on the roof for this design?
3) This is not a pyramidal roof, but will the hip rafters still run across the central diagonal on the top posts?
Any suggestions most appreciated.