1. What is the UDL Given Vertical Reaction at Supports Formula?

The formula calculates the Uniformly Distributed Load (UDL) based on the vertical reaction at supports and the 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 (Newton per Meter)
• \( VR \) — Vertical Reaction at Supports (Newton)
• \( L_{span} \) — Cable Span (Meter)

Explanation: The formula establishes the relationship between the vertical reaction at supports and the uniformly distributed load acting on the cable span.

3. Importance of UDL Calculation

Details: Accurate UDL calculation is crucial for structural analysis and design of cable-supported structures, ensuring proper load distribution and structural integrity.

4. Using the Calculator

Tips: Enter vertical reaction at supports in Newton and cable span in meters. Both values must be positive numbers 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 across the entire length of a structural element.

Q2: When is this formula applicable?
A: This formula is applicable for cables under uniform loading where the vertical reactions at both supports are equal.

Q3: What units should be used for input values?
A: Vertical reaction should be in Newtons and cable span should be in meters for consistent results.

Q4: Are there limitations to this formula?
A: This formula assumes ideal conditions with perfectly flexible cables and uniform loading distribution.

Q5: Can this calculator be used for other structural elements?
A: While primarily designed for cables, the formula can be adapted for other simply supported structures with uniform loading.