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AlanStevensAnswer
19-Tanzanite
August 12, 2018

From your integral for L we have that a*sinh(X/a) = L/2 ...(1)

 

If X is known and L is specified as a multiple of X then the only unknown is ‘a’.  Unfortunately, there is no known analytical solution to (1) that I’m aware of (certainly not in terms of elementary functions), which means that any attempt to find a symbolic expression for your catenary constant is doomed to failure! 

 

Alan

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AlanStevens19-TanzaniteAnswer
19-Tanzanite
August 12, 2018

From your integral for L we have that a*sinh(X/a) = L/2 ...(1)

 

If X is known and L is specified as a multiple of X then the only unknown is ‘a’.  Unfortunately, there is no known analytical solution to (1) that I’m aware of (certainly not in terms of elementary functions), which means that any attempt to find a symbolic expression for your catenary constant is doomed to failure! 

 

Alan

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    Fred_Kohlhepp23-Emerald I
    23-Emerald I
    August 12, 2018

    got to learn to read better.  Could not delete post.

     

    More coffee!

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    ValeryOchkov24-Ruby IVAuthor
    24-Ruby IV
    August 12, 2018
    @Fred_Kohlhepp wrote:

    got to learn to read better.  Could not delete post.

     

    More coffee!

    Sorry!

    ???

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