Now that everything is ready to start building the vault lets just do a little math to have an idea of the forces in play.

Imagine a section of the building only 1 meter long.
The data is:
Area of the Vertical Section = 1,26m2
Therefore
Total Volume = 1,26 x 1 = 1,26m3
Knowing that the…
Material density = 1730Kg/m3
Then…
Total Weight = 1,26 x 1730 = 2178,8Kg
This means that the…
Wieght per “Foot” = 2178,8 : 2 = 1089,4Kg
Now looking to the data on the adobes we got while testing them under compression (more here)
The data is:
Tested Surface Area = 33600mm2 = 336cm2
From the press we got…
Force at Rupture = 47900N = 4884,44KgF
Deviding the value by the total adobe area we know how many kilos can be applied per square centimeter.
4884,44 : 336 = 14,54Kg/cm2
This is the value at the rupture point. For this exercise we’ll only use a fraction of this result. Because we don’t want collapsing buildings an because in the handmade production an laying of the adobes there will always be some anomalies and variations, we’ll use only a third of this value – 5Kg/cm2.
Let’s take a look at the “feet” of the vault.
The data is:
Foot Area = 18 x 100 = 1800cm2
Therefore the…
Weight per foot = 1800 x 5(Kg/cm2) = 9000Kg
This means that the whole weight of the building’s section can be…
Total Weight = 9000 x 2 = 18000Kg
From this number we calculated the possible height of the vault…

In a vault with these dimentions other forces (like the wind and what not) come into play but this is just an abstract exploration to know the material strength.
Even so, we started the building’s first section filled with confidence…