Isobaric parametric sand castle by akeko

Last crawled date: 3 years ago

How should we calculate a teoric sand castle internal efforts, and in consecuence, where would it collapse?
This answer, thinking it mathematly, should be the height where the castle has the highest pressure value, witch is calculated as weight over area.
Once we know this, it is easy to think about a mathematic designed castle, that has the same pressure for any height, optimizing that way its shape, and corresponding to gaudi's idea of beautifulness, when an structure has anything superfluous.
Once known this, the first step I made is to take a calc file and dispose the necesary data, in columns we have radio, squared radio, area, weight, pressure, in rows data will be show for every height, starting from up to downside.
Data is related in the calc file, so I start with an imaginary weight and a specific pressure (You can try changing value on E3 and F3). When it gets the neccesary area for divide that weight, it calculates the new weight, that will be the value for next iteration, so that way I get a radio value for every height millimeter by millimeter, what can be exported to design software.
Step number two is to choose a curve, I took the 0.111g/mm^2 one, and printed one small mold for testing it, and then I made the full design. It is important to test it because different sand tipe will resist different pressures. I made a render of five different castles so you can see a great range of forms with their design pressures.
The way I export this curve is just coping it and executing in Autocad with the word "pol" before (polyline), it shouldn't be difficult to modify this to make your one.
Third step was to make the a full sand tower, with aureal curves tessellated mold. This one is made in two 150mm height molds.
Final step was to make my full castle, with an squared wall, witch also has the isobaric curve form.
Finally I made two castle versions, 150mm and 300mm tall, called 1 and 2 respectively, but it could be personaliced by scalating molds.