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A simple gedanken experiment is to eliminate the glue and use somethingThat's the trouble with pretend experiments: if you don't specify all the conditions adequately, they can be controverted. If no water is lost, the total weight on the base increases. As it applied closer to the edges, the usual beam theory notes that the greater weight (usually) provides less deflection. Wrong Conclusion, for your purposes??
different. Put a seal around the edge of the bottom of the box and then
through a small hole in the bottle of the aquarium pump out all of the water
and after you have a vacuum close off the hole. There can only be
compressive forces between the two surfaces. And the bottom of the aquarium
will flex less because the pressure on the top of the box is less than the
pressure of the water when the box is absent. But that result can also be
obtained by using a buoyant pseudoforce.
John M. Clement
Houston, TX