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24-Ruby IV

## 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

1 ACCEPTED SOLUTION

Accepted Solutions
17-Peridot
(To:ValeryOchkov)

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

3 REPLIES 3
17-Peridot
(To:ValeryOchkov)

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

23-Emerald I
(To:ValeryOchkov)

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

More coffee!

24-Ruby IV
(To:Fred_Kohlhepp)

@Fred_Kohlhepp wrote:

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

More coffee!

Sorry!

???

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