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catenary constant

i'm writing a FORTRAN programme to calculate the length of required cable and the maximum tension in cable, at support point. The cable is in a catenary curve, suspended from two towers of equal heig…

Replied Nov. 7, 2009

catenary constant

i'm using this formula to calculate the catenary constant, c. c + H = c*cosh (L/2c), where, c = catenary constant H = maximum sag L = span I need to manipulate the equation in such a manner that c…

Replied Nov. 7, 2009

catenary constant
8 Replies

With the formula, c + H = c*cosh (L/2c), how do i make c the subject of the equation?

Started this discussion. Last reply by Benjamin Golder Dec. 5, 2009.

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Benjamin Golder replied to kho's discussion 'catenary constant'

Giulio, your definition is great!! However I think the intention behind kho's original post wasn't simply to make a catenary, but to be able to make a catenary based on both a height and a span as inputs. This is something I wish I knew how to do m…

December 5, 2009

Giulio Piacentino replied to kho's discussion 'catenary constant'

I remember http://www.mathhelpforum.com/math-help/calculus/96398-catenary-cable-different-heights.html was a good thread. Maybe you can find some answers there.

November 7, 2009

Benjamin Golder replied to kho's discussion 'catenary constant'

kho, what you are asking for is really the answer to an algebra problem, not a grasshopper problem. You will probably find more help if you ask this question on an algebra forum somewhere.

November 7, 2009

Giulio Piacentino replied to kho's discussion 'catenary constant'

Hi kho, here is a C# scripting component calculating points of the catenary curve given a line in 3d space and a length. I also posted it here. It solves the variable numerically. You can see and modify the code. By changing the sign of line.from.z…

November 7, 2009

kho replied to kho's discussion 'catenary constant'

November 7, 2009

WT4 replied to kho's discussion 'catenary constant'

One way to determine the value of c would be to re-arrange it so that all the terms are on the left hand side, ie c-c*cosh(L/2c)+H=0. Then incorporate the LHS into a function component with c as a slider input. Then manipulate the value coming out o…

November 7, 2009

kho replied to kho's discussion 'catenary constant'

i'm using this formula to calculate the catenary constant, c. c + H = c*cosh (L/2c), where, c = catenary constant H = maximum sag L = span I need to manipulate the equation in such a manner that c is the subject of the equation, in terms of H and…

November 7, 2009

Benjamin Golder replied to kho's discussion 'catenary constant'

hi kho, I just used this catenary formula, from wikipedia: y=a*cosh(x/a) a was an input from a slider, and by changing it, the height of the catenary is adjusted x was an input based upon distance along a line y was the output. so when I wrote i…

November 7, 2009

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catenary constant

With the formula, c + H = c*cosh (L/2c), how do i make c the subject of the equation?

November 6, 2009

kho is now a member of Grasshopper

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November 6, 2009