Calculate the initial value for d then round it up to the nearest inch.
Patio roof post and beam sizes.
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I have no doubt that there is a way to adjust the framing so that a few of the supporting posts can be removed.
The way the porch roof is currently framed each of those 6 x 6 posts is carrying part of the roof load.
Patio roof beams beams can be solid lumber or be built from lengths of 2 by lumber nailed together with 1 2 inch pressure treated plywood spacers in between this forms a 3 1 2 inch thick beam that is equal to the width of a 4 by post.
In general the maximum span for a 4 by 6 beam is 6 feet between 4 by 4 posts.
If you move up to 4 by 8 you re usually allowed to span up to 10 feet between posts.
In the example d calculates to 7 75.
Microllam beams are available in numerous sizes and can span large distances.
Measuring pergola dimensions learn the standard.
This means the example porch would need a 6 inch by 8 inch beam.
The beams can then be boxed in much as you had planned to do with the 2 x 10s.
The smallest beams for patio covers are typically 4 by 6.
A 4 by 10 can usually span up to 12 feet between posts.
Maximum rafter spans for a patio roof in areas with mild climates patio roofs are generally designed for loads of 30 psf pounds per square foot.
An essential part of planning a patio roof or gazebo project is determining the number size and spacing of rafters beams and posts according to the loads they will carry.