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Aug 11, 2018
10:58 AM

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Aug 11, 2018
10:58 AM

Has this problem one symbolic solution?

We have tried to solve this problem.

Let do it one more - help me please to find not numeric (see please the picture and the Mathcad 15 sheet in attach) but symbolic value of this constant! As any closed (implicit) formula - as here

Solved! Go to Solution.

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Aug 12, 2018
06:40 AM

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Aug 12, 2018
06:40 AM

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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Aug 12, 2018
06:40 AM

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Aug 12, 2018
06:40 AM

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

Aug 12, 2018
09:46 AM

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Aug 12, 2018
09:46 AM

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

More coffee!

Aug 12, 2018
10:42 AM

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Aug 12, 2018
10:42 AM