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Posts: 2
Registered: ‎01-28-2013
Message 1 of 3 (799 Views)
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Equation for catenary curve

799 Views, 2 Replies
01-28-2013 05:57 AM

I am designing a part that has the shape of a catenary. In order to make it right the first time, I want to shape the catenary af the exact equation and not by making a spline between points.

 

I am not a math genius nor an Inventor genius, so I someone could tell me the input (see attachment) I would be pleased!

 

The equation I need to draw (metric) is this: f(x) = -(2.0272/2)*(e^(x/2.0272)+e^(-x/2.0272))

 

The part is 3800mm wide and 2200mm high (see attachment 2)

 

I am looking forward to your suggestions!

*Expert Elite*
karthur1
Posts: 4,047
Registered: ‎04-27-2005
Message 2 of 3 (745 Views)

Re: Equation for catenary curve

01-28-2013 12:03 PM in reply to: ehaubjerg

I could not get this to look exactly like your picture. I think my equation is correct.  Here is what I used for the equations.  Set your units to Meters.

 

x(t) = t

yt) = -1.0136 ul * ( pow(2.71828 ul;( t / 2.0272 ul )) + pow(2.71828 ul;( -t / 2.0272 ul )))

 

tmin = -1.9   tMax = 1.9

 

Here is what this looks like.  Maybe you can tweak it and get it to work. If I get some more time, I will also look at this again.

 

2013-01-28_1357.png

New Member
Posts: 2
Registered: ‎01-28-2013
Message 3 of 3 (694 Views)

Re: Equation for catenary curve

01-29-2013 02:39 AM in reply to: karthur1

Hi again.

 

Thank you very much for your reply. I worked out perfect. I am sorry, however, to tell you that I provided you the wrong equation - no wonder that you had trouble getting it right. The correct equation is f(x)= -(1063.35/2)*(e^(x/1063.35)+e^(-x/1063.35))

 

Sorry for that. However, I simply change the 2.0272 with 1063.35 and there it was!

 

You saved my day!

 

BR,

Esben

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