If it was me putting this together, and considering the load, your going to be putting 2 tons + of soil on the roof, plus with a good rain that number could increase by another 1000 lbs easy.
- 4x8 joists/decking no gap between them
- 3) steel beams 1 at each end and one in the middle with screw jacks and proper concrete pad
- skip the 2x decking.
- pressure treated wood is for ground contact, since the coop should be well ventilated humidity should not be a problem.
- roof needs a couple of degrees slant to help shed the water.
or
Give up the idea of putting soil on the roof, then its just simple standard roof construction.
Good luck,
David
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