Planning to build a carport where the roof will be 6x7 meters and consists of plastic sheets (trapezoidal).

I know that manufacturers of plastic sheets recommend doing as shown in the upper image, but I would like to do as shown in the lower image. That is, omit the cross beams, place the rafters in the other direction, and screw the plastic sheets directly into the rafters. I imagine that the roof's torsional rigidity and possibly load-bearing capacity will be somewhat reduced, but this can be compensated by placing the rafters closer together than usual.

The reason I want to do it this way is solely to avoid the "squares" that occur with the traditional method. Is there anything else I haven't considered that makes it directly inappropriate to do it this way?
 
  • Comparison of carport roof structures: top image with cross braces and bottom image with plastic sheets screwed directly onto beams.
Hakuna matata!
It's going well with your method.
The important thing is that you have the correct c/c measures on the load-bearing beams.
 
The only potential problem I could imagine is that the torsional rigidity of the roof construction could be reduced, this can easily be compensated with diagonal tie rods. For example, perforated tape.
 
Kind of like one of those wooden warehouse shelves without a metal cross brace in the back, becomes extremely tip-prone. :-)
 
No "cross" needed. The plastic sheets serve the same purpose when screwed. Like a bookshelf with a masonite board on the back.
 
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