Just a quiet wonder.
Wouldn't it be better with a truss beam in steel.
http://www.maku.se/
it is said to weigh a fraction of a gigantic glulam beam.
Otherwise, you can always build a truss beam out of trä if you want that.
 
As an experienced greenhouse builder and user, I believe that greenhouses should be about 50 sqm to be practical. With those dimensions, I think it's worth considering alternative ways to construct the frame. The suggestion from @bossespecial in post #9, using frames to support the ridge beam, is a good idea. It allows you to reduce the dimensions and even fabricate most of it yourself. I once built a 4x2.5 m greenhouse (far too small) with a ridge beam made from two glued-together 22x195s. Much better than you might calculate.
 
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