I'm going to build an open porch and the beams on the short sides will likely be 125x125 mm in solid wood, 2500 mm long.

For the supports, I have two alternatives.

1. Wall attachment and only in a post 2500 mm from the wall.
2. The same, but also a post 1900 mm from the wall.

Case 1 then becomes, as I see it, a simply supported beam at both ends, while case 2 becomes a fixed support at the outer end.

The simple question is if case 2 provides 24% (linear relationship) less deflection than 1, or if it becomes significantly better?!

Does anyone have the formulas in their head, it's been like 35 years :eek: since I studied strength of materials.. ?! ..

Picture of case 1! The beam goes over the stairs.

Illustration of a house with a porch featuring red columns and green doors. The porch is supported by a beam above stairs, with a roof covering it.
 
If it is to look like in the picture (it looks very nice), then there won't be much load to speak of, it can at most involve the load from 1m2 of sloped roof that the beam has to take.

I would go with option 1.
 
I built something similar, my post is mounted in wood siding, with 3 8mm screws going into the frame behind.
The binding joist/top rail is then attached to the post.
Can you/can't you place the post on the "floor"?
 
Yes, it should be like in the image above. In option 2, however, with an additional post immediately to the right of the stairs. I can't take credit for the sketch, we hired an architect for a few hours several years ago.

Inside by the wall, there will eventually be a post, but not at the beginning since the house is to be re-plastered. The idea is, therefore, to attach the beam in existing holes in the wall and mount the (half-)posts against the wall later after the plastering.

The image below shows the not-so-beautiful reality with traces of the previous masonry porch that I've demolished. It would have been logical to re-plaster the house first, but it's a future project, and the new door needs to be protected as soon as possible since it is starting to show signs of weathering.

Old house facade with a weathered stucco finish, red double doors, concrete steps, and visible remnants of a demolished porch against a lush garden backdrop.

Regarding the beam, I'm a little worried that it will sag if I don't put an extra post to the right of the stairs, but you don't think there's any risk?
 
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Agree with others, a 5x5" at 2.5 m will not bend under that load.
 
Sounds good! Then there will be no extra pole. Thanks everyone for the advice!!
 
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