This is the million dollar question. You need a million dollars to get a really final and exact answer. You have to build it and to test it out until destruction - not 1 time but 3 times with hopefully very similar results. So what i can give you is a "educated guess" based on what has been done - and tests i have run.
Let me start with the facts : troll platform is based on concrete legs that reach down 303 meters with 24 m diameter and 1m wall thickness. Including usual security factors i assume that it could have a destruction depth of some double of this. Which places a positive buoyant cylinder similar as troll at 606 m destruction depth.
My submarine prototype - which i obviously did not test to destruction depth - has almost exactly the double diameter / wall thickness as troll - means it is double as strong and may have a destruction depth of 1212m -
If you check the photos at (www.concretesubmarine.com) you see that my sub floats - without ballast - on middle line - which means half of the displacement is hull weight. Bringing the concept to a extreme you could almost double the wall strength and still have positive buoyancy. Which brings us down to 2424m. This based on a cylinder shape. Given that my prototype is a spheric curved blimp shape it could stand - let me guess - 3000m - in case of a sphere shape even more - probably a lot more - this takes us down to 4000m - destruction depth - no security factor.
BUT - we are still talking about NORMAL CONCRETE - any concrete lab will tell you that special concrete as used in the core of certain record seeking buildings can increase the compression strength of concrete at least by a factor 4 compared to normal concrete. This brings us down to 12.000m destruction depth - without being limited in the size of the spheres AND still with positive buoyancy.
So including security factors of 1:2 or 1:3 as recommended for manned submarines we still could get a positive buoyant submarine based on concrete spheres that can reach average ocean depth - so 90% of the ocean floors worldwide.
Obviously i did a lot of testing before i built my concrete submarine prototype - the problem was that every time i finished a test model for testing to destruction depth i could not find a water depth that would have permitted to test it to destruction. So all i could find out is that the test models can go VERY deep and deeper than the water depth i have available.
I also put small test models inside of hydraulic cylinders where you have a liquid pressure equivalent to some 2000m dive depth. So i can say that above calculation seems to work according to my test series.
But no one can be 100% sure until building spheres in a 1:1 model and bring them to destruction depth in deep sea at a depth of thousands of meters - which is a million dollar operation i would like to get financing for... |