Room size

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remout

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I'm building an addition to a old cottage with a raised foundation and a Gable roof. The addition will have a gently sloping metal roof. The roof will start just under the existing roof and and slope down to the new back wall. It seems to me, the maximum depth of the room, or span of the rafters will be determined by:

Minimum slope of the roof
Minimum ceiling height (open beam ceiling) at the back wall
Crawl space under raised foundation

Knowing those 3 measurements I should be able to figure out what the max span of the rafters to the rear wall can be. My question is, if I'm thinking right, what are the above measurements? Thanks!
 
That's not the way I would look at it.
If the house has eight for ceiling, the addition as 8 ft ceiling.
For a 5/12 pitch on a 12' addition remove the sheeting at the bottom of the roof. Add 5 ft to the cabin wall and run the rafter over that wall and into the roof on a continouse slope.
 
Am I getting this right ( after you get done laughing at my drawing)?
#2 is the correct way?

cabin.png
 
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