Find Value of C for Catenary Cable | Trial and Error Method

In summary, a catenary cable is a type of cable that follows the natural curve of a hanging chain and is commonly used in engineering and architecture for structures such as suspension bridges and power lines. The value of C represents the horizontal tension in the cable and is crucial in determining the stability and safety of the structure. The trial and error method can be used to find the value of C by adjusting the initial value until the desired values are achieved, but it may be time-consuming and not always accurate. Other methods such as analytical and numerical methods exist, but they require advanced mathematics and may not be practical for all situations.
  • #1
CartoonKid
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Can somebody teach me a better way to solve the equation of catenary cable to find the value of c? If there is no other better alternative, can you tell me how to estimate a value for the trial and error method.

Thanks
 
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  • #2
Do you understand what c I am referring to? I don't know if the sign convention used by me is the same as you. It is the imaginary point located below the lowest point of a catenary cable, which acts as origin. Please tell me should you need further explanation.

Thanks
 

1. What is a catenary cable?

A catenary cable is a type of cable or wire that is suspended between two points and follows the natural curve of a hanging chain. It is commonly used in engineering and architecture for structures such as suspension bridges and power lines.

2. What is the significance of finding the value of C for a catenary cable?

The value of C represents the horizontal tension in the cable and is crucial in determining the stability and safety of the structure. It also affects the shape and sag of the cable, which can impact its overall functionality.

3. How do you use the trial and error method to find the value of C for a catenary cable?

The trial and error method involves starting with an initial value of C and calculating the shape and sag of the catenary cable. If the calculated values do not match the desired values, the initial value of C is adjusted and the calculations are repeated until the desired values are achieved.

4. What are the limitations of the trial and error method for finding the value of C?

The trial and error method can be time-consuming and may not always result in an accurate value of C. It also assumes that the catenary cable is a perfect shape, which may not always be the case in real-world scenarios.

5. Are there other methods for finding the value of C for a catenary cable?

Yes, there are other methods such as analytical and numerical methods that use mathematical equations and computer simulations to determine the value of C. These methods may be more accurate and efficient, but they also require a strong understanding of advanced mathematics and may not be practical for all situations.

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