Catenary Curve

on . Posted in Plane Geometry

catenary curveCatenary curve has a u-shaped curve and can be represented by a hanging chain or cable under its own weight and supported only at it's ends.

 

Catenary Curve formula

\( y = ( a\;/\;2 ) \; [\; ^a\sqrt{e^x} + (1\;/\;^a\sqrt{e^x} ) \; ] \)
Symbol English Metric
\( y \) = y-coordinate \( dimensionless \)
\( a \) = parameter \( dimensionless \)
\( e \) = Euler number \( 2.718 281 828 ... \)
\( x \) = x-coordinate \( dimensionless \)

 

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