Pergola - Span and deflection of glulam beam

[Flipar]

Hello,

I would need help from someone with some knowledge about spans and deflection.

We hope to install a glulam beam 90X315mm with a span of approximately 5.5 meters. Supported on 90x90 posts at the ends. There is barely any load on this, only a number of cross-connected battens but no roof, for example, adding weight. Can we expect this to hold its shape without sagging under its own weight?

This is intended to be part of a larger outdoor pergola design.

 

[Surly]

If you don't have a roof on it, it will definitely hold. Träguiden has free dimensioning programs, I think there is also an app but I have never tried it. Below is a link to the dimensioning of the pergola, but there are lots of other constructions to choose from.
https://www.byggbeskrivningar.se/dimensionering/pergola/