1. What is the UDL Given Tension at Midspan for UDL on Parabolic Cable Formula?

The formula calculates the uniformly distributed load (UDL) on a parabolic cable given the tension at midspan, maximum sag, and cable span. It is derived from the equilibrium conditions of a cable under uniform loading.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( q \) — Uniformly distributed load (N/m)
• \( T_{mid} \) — Tension at midspan (N)
• \( d \) — Maximum sag (m)
• \( L_{span} \) — Cable span (m)

Explanation: The formula relates the cable's sag and tension to the uniformly distributed load it carries, assuming a parabolic shape.

3. Importance of UDL Calculation

Details: Accurate UDL calculation is crucial for cable structure design, ensuring proper tension distribution and structural integrity under loading conditions.

4. Using the Calculator

Tips: Enter tension at midspan in newtons, maximum sag in meters, and cable span in meters. All values must be positive and greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a uniformly distributed load?
A: A uniformly distributed load is a load that is spread evenly along the length of a structural element.

Q2: Why is the cable assumed to be parabolic?
A: Under uniform loading, a flexible cable takes the shape of a parabola due to the equilibrium of forces.

Q3: What factors affect cable sag?
A: Cable sag is affected by the load magnitude, cable tension, span length, and cable properties.

Q4: Are there limitations to this formula?
A: This formula assumes ideal conditions: perfectly flexible cable, uniform loading, and no additional external forces.

Q5: How is this used in engineering practice?
A: This calculation is essential for designing cable-supported structures like bridges, transmission lines, and suspension systems.