Feet more in presence of snow.
How to support 20 foot roof.
A great deal depends on the pitch of the roof.
Multiply the load per square foot by the total area of the roof.
Almost any wood will do the same geometry of beam or truss is the important thing.
I live in the midwest so it need to support snow load too.
Once again a 2 by 4 inch piece of lumber is placed between the trusses and parallel to the ceiling joists.
This is where a high pitched roof is necessary.
Three 2x10 s or 12 s is not enough.
Better design with truss 2 feet deep or more depending on snow load.
If smaller beam will sag ugly.
You need an engineered glu lam 5 1 4 wide and 24 tall.
A truss joist wood i beam is not enough.
Large 8 x 8 posts are necessary for the use of supporting a porch roof.
If an example roof is 10 feet by 20 feet the total area is 200 square feet.
By roof beam i assume you mean the beam will be carrying the load of the roof free span for 20.
The distance inside the house from peak to outside wall is 25 7 6m and the beam spans 19 5 6m wall to wall.
The other is just used to support the trusses.
This number represents the total load that your roof must carry.
A higher pitched roof would be better for extra living space than a lower pitched roof.
For a 20 foot span wood beam needs to be minimum 18 inches deep.
The larger the roof is the more support that you are going to need.
From photos i have it looks like single 4x6 not lvl that angles with the roof.