3 ms·
This video explains the use of chains to determine arch shape: https://www.youtube.com/watch?v=JlL6ZHChhQE https://www.youtube.com/watch?v=JlL6ZHChhQE
by runlevel1 7y ago
This video explains the use of chains to determine arch shape: https://www.youtube.com/watch?v=JlL6ZHChhQE https://www.youtube.com/watch?v=JlL6ZHChhQE
- filmor 7y agoThis is a great video, thanks. The mentioned catenary shape is a cosh (Cosinus Hyperbolicus, i.e. 1/2(exp(x) + exp(-x)) or cos(ix)) and decidedly not a parabola. Wikipedia contains a derivation: https://en.m.wikipedia.org/wiki/Catenary https://en.m.wikipedia.org/wiki/Catenary (the one on the German Wikipedia is a bit more explicit)
- theoh 7y agohttps://de.m.wikipedia.org/wiki/H%C3%A4ngemodell https://de.m.wikipedia.org/wiki/H%C3%A4ngemodell https://de.m.wikipedia.org/wiki/Kettenlinie_(Mathematik) https://de.m.wikipedia.org/wiki/Kettenlinie_(Mathematik) NB, the line taken by the cables of a suspension bridge with a deck of uniform weight is a parabola. I think this is what causes the popular confusion.