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05-21-2020
01:55 AM

05-21-2020
01:55 AM

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05-22-2020
09:35 AM

05-22-2020
09:35 AM

I waited, waited for an answer, and decided to solve this problem myself

Maple

Mathcad (full solution in attach - pdf and Prime 6)

12 REPLIES 12

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05-21-2020
02:46 AM

05-21-2020
02:46 AM

Re: Catenary formula thru ODE

Well, it's child's play, just solve the following differential equation, obtained by deriving twice the given function:

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05-21-2020
04:01 AM

05-21-2020
04:01 AM

Re: Catenary formula thru ODE

Thanks!

But I think about it

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05-21-2020
09:06 AM

05-21-2020
09:06 AM

Re: Catenary formula thru ODE

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05-21-2020
09:11 AM

05-21-2020
09:11 AM

Re: Catenary formula thru ODE

but this is a problem of a different nature from the previous one. Now you want the tension in the belt.

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05-21-2020
01:27 PM

05-21-2020
01:27 PM

Re: Catenary formula thru ODE

There were solutions posted years ago based on the fact that the catenary tension is a constant.

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05-21-2020
01:52 PM

05-21-2020
01:52 PM

Re: Catenary formula thru ODE

yes, I vaguely remember.

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05-21-2020
03:30 PM

05-21-2020
03:30 PM

Re: Catenary formula thru ODE

The tension has to broken into two forces, horizontal and vertical. This is for each point along the catenary. The horizontal force is constant, the vertical force varies along the catenary. The solution is best solved, for starters, with the lower point being tangent to the x-axis. This is typical in ship anchor or mooring systems.

Cheers, David

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05-22-2020
04:18 AM

05-22-2020
04:18 AM

Re: Catenary formula thru ODE

in fact the horizontal component of the tension along the catenary should be constant.

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05-22-2020
04:09 AM

05-22-2020
04:09 AM

Re: Catenary formula thru ODE

The weight of the rope per meter (kg / m) is p, the tension along the catenary with equation y(x), is: T = p.y(x).

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05-22-2020
09:35 AM

05-22-2020
09:35 AM

I waited, waited for an answer, and decided to solve this problem myself

Maple

Mathcad (full solution in attach - pdf and Prime 6)

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05-22-2020
10:34 AM

05-22-2020
10:34 AM

Re: Catenary formula thru ODE

with old good symbol math

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05-22-2020
03:11 PM

05-22-2020
03:11 PM

Re: Catenary formula thru ODE

New formula!!!