1. What is the Cable Span Formula?

The Cable Span formula calculates the horizontal length of a cable given the tension at midspan, maximum sag, and uniformly distributed load. It is derived from the parabolic cable theory and is essential in structural engineering for cable-supported structures.

2. How Does the Calculator Work?

The calculator uses the Cable Span formula:

Where:

• \( L_{span} \) — Cable Span (m)
• \( T_{mid} \) — Tension at Midspan (N)
• \( d \) — Maximum Sag (m)
• \( q \) — Uniformly Distributed Load (N/m)

Explanation: The formula relates the cable's horizontal span to the midspan tension, sag, and distributed load, assuming a parabolic cable shape.

3. Importance of Cable Span Calculation

Details: Accurate cable span calculation is crucial for designing suspension bridges, overhead power lines, and other cable-supported structures to ensure structural integrity and safety.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What assumptions are made in this formula?
A: The formula assumes a parabolic cable shape, uniform load distribution, and negligible cable weight compared to the load.

Q2: How accurate is this formula for real-world applications?
A: It provides a good approximation for cables with small sag-to-span ratios and uniformly distributed loads.

Q3: Can this formula be used for non-uniform loads?
A: No, this formula is specifically for uniformly distributed loads. Different approaches are needed for non-uniform loading conditions.

Q4: What is the relationship between sag and span?
A: For a given tension and load, the span increases with the square root of the sag. Higher sag allows for longer spans.

Q5: How does tension affect the cable span?
A: Higher tension at midspan allows for longer spans with the same sag, or reduced sag for the same span length.