3 ms·
I don't think this is the case. A wavy wall with a wave amplitude of X has the same toppling resistance as a straight wall with buttresses on both sides of len
by londons_explore 3y ago
I don't think this is the case.
A wavy wall with a wave amplitude of X has the same toppling resistance as a straight wall with buttresses on both sides of length x/2.
Assuming this stackoverflow answer is correct[1], the sine wave has (slightly) less bricks.
[1]: https://math.stackexchange.com/a/1500468 https://math.stackexchange.com/a/1500468
- deleted 3y ago[deleted]
- Retric 3y agoA single repetition of the wave is misleading. For N repetitions of the wave you need N + 1 buttresses not 2 N. Also, while brick is stronger in compression a buttress increases toppling resistance in both directions so you need to consider material properties not just the geometry.
- Dylan16807 3y ago> A wavy wall with a wave amplitude of X has the same toppling resistance as a straight wall with buttresses on both sides of length x/2. Where did you get that number from, and how does it change as you vary the distance between buttresses?
- londons_explore 3y agoAssuming one pair of butresses (ie to prevent the wall toppling in each direction) per sine wave cycle.
- Dylan16807 3y agoBut the math depends so strongly on how often the buttresses are needed, and the length of the buttresses, so you can't assume those things. The goal is a wall of equivalent strength, after all. If equivalent strength needs slightly less distance, or slightly smaller buttresses, the result could be thrown completely off in either direction.