Clarification about moment formula for EN 1993-1-8

[ViaParadise]

I'm designing a pin connection where there will be a large clearance between the inner and outer plates to accomodate movement. However, it's now being solely controlled by the pin bending given the distance between supports (outside edges of outer plates). This is because the clearance between plates, c, is counted 4 times as opposed to twice. Does anyone know why the gap between plates is double counted? For reference the page is 37 (39 in the pdf linked).https://www.phd.eng.br/wp-content/uploads/2015/12/en.1993.1.8.2005-1.pdf

 

[JStephen]

Summing moments about the center-
Loads are distributed along the thicknesses, not point loads.
So moment at the center is F/2*(b/2 + c + a/2)- F/2 * b/4 = F * (b/8 + c/2 + a/4) = F/8 * (b + 4c + 2a)
So they're not double-counting the gap, they just have the formula arranged in such a way that the coefficient happens to be 4.

 

[ViaParadise]

Summing moments about the center-
Loads are distributed along the thicknesses, not point loads.
So moment at the center is F/2*(b/2 + c + a/2)- F/2 * b/4 = F * (b/8 + c/2 + a/4) = F/8 * (b + 4c + 2a)
So they're not double-counting the gap, they just have the formula arranged in such a way that the coefficient happens to be 4.

Thank you, I was making the mistake of assuming point loads centered on the plates. If anyone seeing this runs into the same issue confusing themselves, here's a convenient bending moment diagram I found online from https://www.sciencedirect.com/science/article/pii/S0143974X22006228