A carpenter friend looked at my drawings for the run and helped me put up the 4x4s over the weekend. The run is 20x32 ft and will be covered for about 16 feet with a simple gable roof over a span of about 20 feet and then will have hardware cloth over the remaining 16 feet. The He recommended that we put two 2x8s at each side of the middle 4x4s as a ridge beam; and a 2x8 and a 2x4 at each side of the 4x4s to carry the roof load and snowload. We're in Maryland. We have had some heavier snows the last couple of years, but it seems to me a bit overkill to go with 2x8s, it would also make the whole contraption very heavy. My design had 2x4s. It's probably a good idea to double those up both in the middle (top) of the roof and the sides but 2x8s? I think we should probably also put cross braces on every other rafter to prevent the roof from pushing away the sides. What are y'alls opinions on this?