A catenary is a type of curve. An ideal chain hanging between two supports and acted on by a uniform gravitational force makes the shape of a catenary. (An ideal chain is one that can bend perfectly, cannot be stretched and has the same density throughout.) The supports can be at different heights and the shape will still be a catenary. A catenary looks a bit like a parabola, but they are different.
Hence, we can also write the catenary equation as
References[change | change source]
- "Catenary". Wolfram Research. Retrieved 2016-10-30.
- "The Catenary - The "Chain" Curve". California State University. Retrieved 2019-01-01.
- Rosbjerg, Bo. "Catenary" (PDF). Aalborg University. Retrieved 2016-10-30.
- "Catenary and Parabola Comparison". Drexel University. Retrieved 2016-11-05.
- "Equation of Catenary". Math24.net. Archived from the original on 2016-10-21. Retrieved 2016-10-30.
- Stroud, K. A.; Booth, Dexter J. (2013). Engineering Mathematics (7th ed.). Palgrave Macmillan. p. 438. ISBN 978-1-137-03120-4.