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Span Length Given Horizontal Component Of Cable Tension For UDL Calculator

Formula Used:

\[ L_{span} = \sqrt{\frac{8 \times f \times T_{cable\ udl}}{q}} \]

m
N
N/m

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1. What is the Span Length Calculation for UDL?

The span length calculation determines the horizontal distance between supports for a cable under uniformly distributed load. This is essential in cable structure design and analysis.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ L_{span} = \sqrt{\frac{8 \times f \times T_{cable\ udl}}{q}} \]

Where:

Explanation: The formula calculates the horizontal span length based on cable sag, tension, and distributed load characteristics.

3. Importance of Cable Span Calculation

Details: Accurate span length calculation is crucial for structural design, ensuring cable systems can safely support expected loads while maintaining proper sag and tension.

4. Using the Calculator

Tips: Enter sag in meters, cable tension in Newtons, and distributed load in N/m. All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What is cable sag and why is it important?
A: Cable sag is the vertical deflection at the midpoint between supports. It affects both the structural behavior and aesthetic appearance of cable systems.

Q2: How does distributed load affect cable span?
A: Higher distributed loads typically require either shorter spans or increased cable tension to maintain acceptable sag levels.

Q3: What are typical applications of this calculation?
A: This calculation is used in suspension bridges, cable-supported roofs, transmission lines, and other cable structure designs.

Q4: Are there limitations to this formula?
A: This formula assumes ideal cable behavior, uniform load distribution, and small sag-to-span ratios. Complex scenarios may require more advanced analysis.

Q5: How does cable tension relate to span length?
A: For a given sag and load, longer spans require higher cable tensions to maintain structural stability and prevent excessive sag.

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