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02-08-2018
04:46 AM

02-08-2018
04:46 AM

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.

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02-09-2018
08:26 PM

02-09-2018
08:26 PM

6 REPLIES 6

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02-08-2018
05:28 AM

02-08-2018
05:28 AM

Re: Equation for calculating CoG of members of a stack

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.

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02-08-2018
06:07 AM

02-08-2018
06:07 AM

Re: Equation for calculating CoG of members of a stack

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02-08-2018
06:26 AM

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02-09-2018
03:13 AM

02-09-2018
03:13 AM

Re: Equation for calculating CoG of members of a stack

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!

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02-09-2018
08:26 PM

02-09-2018
08:26 PM

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04-30-2018
03:44 AM

04-30-2018
03:44 AM

Re: Equation for calculating CoG of members of a stack

Thanks a bunch