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Old Oct 28th 2017, 03:41 AM   #1
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Elastic catenary sag

Hi,

I would like to ask about the difference of sag elastic and non-elastic catenary.
I have string with horizontal tension Th, unit weight w, modulus of elasticity E, cross section A and span length a.

Non-elastic catenary (with parameter of catenary c = Th/(w*g)) has a maximum sag sn.
When I consider elastic catenary, I have maximum sag se.

And my question is, when these catenaries have a same horizontal tension, it is bigger sag sn or se?

I have my calculations and I want to verify them.

Thanks
Joseph

Last edited by cornis; Oct 28th 2017 at 11:36 AM.
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Old Oct 29th 2017, 04:38 PM   #2
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If you think about it, the elastic catenary will be longer than the non elastic one because the wire will have stetched.
So the elastic curve must dip lower than the non elastic one to take the longer route.


You do realise that there is a difference btween a weightless catenary and a catenary with significant self weight?
Also there is a difference depending upon the nature of the loading, continously distributed v a series of point loads from hangers?
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