How a non uniform force, converted to an equivalent point force acts on a surface.

Hello all

I am trying to understand how a non uniform force, converted to an equivalent point force acts on an object.

I was hoping I could get the communities opinion on the following sketch I have made:-


In Diagram A have a non uniform force that is being applied to my shape.
The centre of mass & centroid are the same location as the density of the material is uniform.


[ATTACH]2356[/ATTACH]


In Diagram B I have calculated the X,Y,Z position of the force distribution shown in blue.
I now have 2 x centroids, one for my shape and one for my force distribution.

[ATTACH=CONFIG]2357[/ATTACH]

In Diagram C I have projected the centroid of my force distribution onto my shape shown in yellow.

[ATTACH]2358[/ATTACH]

If I converted my non uniform distributed load into an equivalent point load then would it be correct to say that the point force would act at the projected centroid (yellow) and not the centroid of my shape.

Is this correct?

Depends on how the object is supported relative to the applied force.

Is the object/shape statically located and how?