Formula Used:
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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.
The calculator uses the formula:
Where:
Explanation: The formula calculates the horizontal span length based on cable sag, tension, and distributed load characteristics.
Details: Accurate span length calculation is crucial for structural design, ensuring cable systems can safely support expected loads while maintaining proper sag and tension.
Tips: Enter sag in meters, cable tension in Newtons, and distributed load in N/m. All values must be positive and non-zero.
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.