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## Homework Statement

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I am having a problem understanding a calculation performed as part of a bigger solution in the design of Slabs.

That is, how to determine the centroid of the critical shear section, which consist of 3 planes intersecting to form a 3D model (please see attached picture). For this particular case, there is no fourth shear plane that encloses with the other planes. So, the 3D figure is "open" on one side.

So excluding details of design, I am having trouble understanding how the authors compute the shear centroid which is just the location of the centroid on the top.

## Homework Equations

Please see attached picture.

https://imgur.com/a/dxwWD

The author defines 'e' as the location of the centroid of critical shear, and the value of e is:

$$e=\frac{805^2}{2 \cdot 805+610}$$

Can one please explain the above formula? I presume the denominator is the perimeter of the shape, but I cannot figure out what the numerator represents.

Thank you.

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