Vertical Reaction At Supports Calculator

Formula Used:

\[ VR = \frac{q \times L_{span}}{2} \]

Vertical Reaction at Supports (VR):

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1. What is Vertical Reaction at Supports?

Vertical reaction at supports is the total reaction force in the vertical direction at the supports of a structure. It represents the upward force that supports must provide to balance the downward forces acting on the structure.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ VR = \frac{q \times L_{span}}{2} \]

Where:

\( VR \) — Vertical reaction at supports (N)
\( q \) — Uniformly distributed load (N/m)
\( L_{span} \) — Cable span (m)

Explanation: This formula calculates the vertical reaction force at each support for a simply supported structure with uniformly distributed load. The total load is equally distributed between the two supports.

3. Importance of Vertical Reaction Calculation

Details: Calculating vertical reactions is essential for structural design and analysis. It helps determine the load-bearing capacity required for supports, ensures structural stability, and aids in proper foundation design.

4. Using the Calculator

Tips: Enter the uniformly distributed load in N/m and cable span in meters. Both values must be positive numbers greater than zero for accurate calculation.

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, with constant magnitude throughout.

Q2: Why is the reaction divided by 2?
A: For a simply supported structure with symmetrical loading, the total load is equally distributed between the two supports, hence divided by 2.

Q3: Can this formula be used for point loads?
A: No, this specific formula is for uniformly distributed loads. Different formulas apply for point loads or combined loading scenarios.

Q4: What units should I use for input values?
A: Use consistent units - N/m for distributed load and meters for span length. The result will be in Newtons.

Q5: Is this formula applicable to all types of structures?
A: This formula specifically applies to simply supported structures with uniformly distributed load. Different support conditions may require different calculation methods.