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I'm new to this, thank you for your patience,

I have some wooden boards that each weigh 5.5 kg with dimensions of 120 cm * 60 cm
I also have some wooden beams with dimensions of 3 meters length and 10 cm width (and 3 cm thickness)

enter image description here

I want to know the "kgf/m" along the beam.

I looked around a bit and came to this conclusion, but I'm unsure if it's correct or not.

This is for config A

board_weight     = 5.5 # kg
beam_length      = 3   # meter
number_of_boards = 5
number_of_beams  = 3

weight_of_all_boards = board_weight * number_of_boards

kgf_per_meter = (weight_of_all_boards / beam_length) / number_of_beams

kgf_per_meter # 3.0554

So the kilogram force per meter is 3.0554 (on each beam)

Or in the case of config B is 2.291665

Is this correct?

Edit #1:

I then go to "SkyCiv" online app and try to make a sfbm diagram like the following.

enter image description here enter image description here

Edit #2:

I thought if I explain how I came to the conclusion, it would be easier to answer.

All 5 boards together weigh 27.5 kg, so I first said to myself let's pretend they are a huge brick. enter image description here

Then I thought let's first imagine its weight on a single beam.
Now I have a 27.5 kg distributed load on a single beam.

My problem is I don't know how to calculate kgf/m in this setup.
I have a 3 meter beam.
I have a huge 27.5 kg break laying on top of it.
Should I divide weight of the brick by length of beam?
27.5 / 3 which is 9.1667

Because that's what I did.
And then I divided to 3 because I thought whatever the force is on 1 beam, then when there's 3 of them, it should be divided between them.

And I ended up with 3.0554 enter image description here

Fred
  • 9,667
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  • In a simplified process in buildings, the tributary load area for a situation like this would be to take half the distance to the next beam. Depending on how much overhang there is for the outside beam you may find that the outside beam carries less for small to no over hang, and more for large over hang. A more refined breakdown would be your edit 1. However, for your edit 1, there appears to be no overhang. – Forward Ed Dec 26 '22 at 09:02

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