Oystein
Senior Member
Google AI tells me that an average can is 122 mm tall. So four of them are 488 mm tall. The real tower is 415,000 mm. That's a scaling factor of 1:850.Simplifying somewhat, what I want to build is a structure that can replicate this effect with only the weight of 4 cans on top (compressed into a single disk). That means designing the "can" to be a good deal weaker than an actual pop can. (Imagine cutting slits and holes in it.) It must first carry that load easily and then, when a "sagging" *within the structure* itself pulls the walls of the can inwards, it buckles under its own weight, i.e., the weight of rougly four times that of the structure itself. That initiating event requires connections and structures inside the can to provide the "tap", pulling in from the inside, rather than pushing from the outside. And that gives us some sense of how strong those connections have to be. First, to hold the "floor" in place (which wouldn't require a very strong connection) but then, when it sags, not simply to disconnect from the inside of the outer wall.
This means that the volume:area ratio should also be 1:850, if your aspect ratio happens to be correct.
This makes your model, if all linear dimensions are 1:850, is too light by a factor of 850. To compensate, you'd either have to make vertical supports 850 times weaker, or you'd need to add 850 times the weight - perhaps in the form of smartly placed blobs of lead or gold.
But then you face the problem that your model's fall height is too little by a factor of 850. To compensate, you could run the experiment in a centrifuge that creates an acceleration 850 times that of g. That's 30 times the gravity on the periphery of the sun, 10 times that of an average brown dwarf, but far less than on a white dwarf. Also somewhat less than what the centrifuges that enrich uranium are capable of.
Such a to-scale model would have to have built in so many extremes (super-thin wall, super-high density, a gravitational pull like nothing in our solar system), all waaaaaaaaaaaaaaaaaaaaay outside the human scale and people's hands-on experience, that I doubt any "Truther" would accept this as a fair, true model.
I think you are on an entirely hopeless wild geese chase.