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So I am working on a project with variables on how many point loads may be applied over a single span.

Both ends are fixed, this is a constant.

For example, I may have a beam which is 6m in overall length and 3 point loads at 10.5KG (I am working in KG for now)

I am trying to figure out the best way for the variables to be able to convert into an equivalent UDL, which will then be used in another formula.

Basically, I am trying to find the number I need to multiply the 1 point load value to get the equivalent UDL.

The example I have been given is:

3 @ 10.5KG is equivalent to 4 x 10.5 / 6 = 7 kg/m

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    $\begingroup$ these two things are not equivalent, you can't just convert one to the other. Get a better equation. $\endgroup$
    – Tiger Guy
    Sep 13, 2022 at 5:48
  • $\begingroup$ You may be able to use superposition. Calculate the stress and/or deflection for each poing load individually and sum the results. $\endgroup$
    – Mattman944
    Sep 13, 2022 at 12:42
  • $\begingroup$ Have a look at the last answer in this post : engineering.stackexchange.com/questions/50888/… The post talks about converting a number of point loads to a single equivalent load, but the overall concept is similar and FEA theory already has solutions for it. $\endgroup$
    – Andorrax
    Sep 13, 2022 at 22:50

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