I'm about to order H-beams and glulam and have a problem since I can't reach my engineer.

Beam 2 and 3 will be H-beams in steel, HEA 200 mm.
Beam 5 will be double glulam beams, 90x225 as there are many support points there.

However, we have forgotten to calculate beams 1 and 4.
Between beams 2 and 5, there is an upper floor, while other parts are only one story with a low-pitched roof and trusses. Beam 1 is above a sliding door section and thus needs to bear the load from the roof. The total maximum length will be 4.70 m, probably somewhat shorter.

Beam 4 is for unloading at the staircase as it will be open from the staircase out towards the living room. Length: Also about 4.70 m.

Glulam or steel? Dimensions?
Pink dots are possible support pillars.

Floor plan showing placement of beams marked 1 to 5, with HEA 200 steel and laminated wood beams indicated, possible support points in pink. Scale 1:100.
 
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