2019年5月21日 · I know the distance between points, and the length of the cable between them, how can I calculate the sag? How to solve this eqn for x = f(s,d)? since I know both s and d. s = cable length = 2 * x *

2016年11月9日 · Catenary equation [Solved!] Shahad 09 Nov 2016, 06:58. My question. Hello, in your article titled "Arc Length of a Curve using Integration", in example 3 regarding the Golden Gate Bridge cables. May you please elaborate how you "guessed and checked" the catenary equation of the cables.

2022年5月24日 · Re: Catenary Equation. brianstanley 23 Nov 2023, 02:29. hello, if you know the desired horizontal tension in the cable, you can set up an equation using the tension, the span length, and the catenary equation. The horizontal tension can be determined based on structural requirements or load considerations.

2020年10月20日 · I was reading the intrinsic equation of common catenary , where the author assumes tension in the catenary and proceeds. Why does a freely hanging rope with uniform mass per unit length has tension ? This is contradictory to the fact we use in solving problems in mechanics i.e. when the rope becomes slack, we take the tension in the rope to be ...

2020年8月8日 · I’ve seen two derivations of the catenary equation: one involving Lagrange multipliers and another using a balance of forces on a segment of the cable/rope. I’m trying to derive the catenary equation by minimizing the potential energy of the cable, which is:

2023年7月1日 · I am trying to remind myself of variational calculus and wanted to try and derive the catenary equation, but the final equation, although corresponding to what I can find on the internet, seems incomplete. Am I misunderstanding what I am actually asking the math to do? I started with writing the total energy of the hanging wire as

2010年5月6日 · An arch shape that is often used is the catenary. A catenary is the shape made by a chain that is freely hanging between 2 supports. Chain hanging on a log. [Image source] Paper chains [Image source] Catenaries. A caternary is an interesting curve. It is the average of the y-values of an exponentially decreasing curve and an exponentially ...

I'm looking for an equation to find the tension on the ends of a cable suspended between two poles (one higher than the other) with no load but the cable itself. I determined that the tension would be different on each end, that the shape of the suspended cable would be a catenary curve truncated at one end, and that the following would be the ...

2021年3月7日 · When flexible metal transmission lines are hung between two poles, the shape they assume to minimize the action of gravitational and tensile forces is a called a catenary. While assuming that shape...

Just first shot: You may start with formula for steady state: $$\sum \mathbf F_i=0$$ where $\mathbf F_i$ are forces applied to the body under scope.