I've calculated these numbers with the help of byggbeskrivningar.se
Screenshot of a construction planning page showing options for outer wall posts, inner posts, longitudinal middle beam, and crosswise roof rafters.
On this type of construction
Illustration of a building structure with a roof framework and crossbeams. Dimensions marked, showing 600 mm spacing between beams.
3.7 m high walls. Extension of 7.9x9.6 m. Roof pitch of 23 degrees. I set cross beams at 600 mm centers.

Can anyone approve these numbers or come up with a cheaper/simpler idea?
 
Hello

The rafters are OK, even with lower ones since you have low utilization.

I'm a bit doubtful about the beam in the middle. Is the length L1 9.6 meters, or do you have a column in the middle of the house?
If the beam in the middle is 9.6 meters without support in the middle, a 315 won't work. According to the calculation, it would then need to be around 900 mm high, which is not feasible. You should put a column in the middle, so it's 4.8 meters on each side. Distributing c/c to 600 doesn't affect the middle beam but only the rafters, allowing you to make them lower.

A beam with 3 supports at 4.8 meters gives a more reasonable ridge beam of 115x450 mm.
I tried to achieve the same results as you did but haven't succeeded at all, attaching what I managed to achieve.
 
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