sog for diaphragm

[wrxsti]

i have this configuration as shown below

im trying to analyze how much horizontal load can be taken by a 6" slab drawn around the columns
from that column with load shown as H

i stumbled across an article

https://researchbank.swinburne.edu....74-e6f758844d97/1/PDF (Published version).pdf

where the publisher estimates maximum axial capacity of unreinforced walls

im just trying to establish what geometry in this situation would be the ' wall ' dimensions

 

[ATSE]

I am assuming your "sog" means slab on grade (or slab on ground).
Is this for a pre-engineered metal building? If so, I do not recommend using a 6" thick slab alone to transmit the horiz column base forces.
You mentioned unreinforced slab (walls), which makes me nervous.
At a minimum, you can use a thickened edge 4 sides and banded continuous reinforcing between all columns. That's still backwoods, but marginally acceptable.

 

[wrxsti]

its an existing slab on grade with i believe 1 layer 6x6 - W2.9xW2.9

here is elevation at the column