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## Equation for calculating CoG of members of a stack  5-Regular Member

## Equation for calculating CoG of members of a stack

Hi, I want to calculate the center of gravity of all parts above various cross sections (k0, k1 & k2). So in the picture below, I calculate the center of gravity of m1, m2 and m3 at cross section k0. The next row would be to calculate the COG of m2 and m3 at k1 - and so on.

I would like to express this with a simple equation. Would appreciate any help. 1 ACCEPTED SOLUTION

Accepted Solutions  24-Ruby V
(To:elund)

Are you looking for something like this: 6 REPLIES 6  21-Topaz I
(To:elund)

Image of Mathcad Prime  take moments about base line to find vertical centroid.  There is insufficient information to determine horizontal centroid from left or right of the figure.   24-Ruby III
(To:elund)  24-Ruby III
(To:elund)   5-Regular Member
(To:elund)

Thank you for your answers. So the horizontal CoG is more or less zero, I'm only interested in the vertical CoG. Also, what I am after, is to express the below in one equation. So if I want to calculate the moment on cross section k, I can multiply my CoG (which in this example is 3x1) with my force vector (also 3x1), and get the moment, which should also be a 3x1 vector.

Hope this clarifies. Thanks!   24-Ruby V
(To:elund)

Are you looking for something like this:   5-Regular Member
(To:Werner_E)

Thanks a bunch Announcements