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Continuous Beam Reaction Calculator

Interior Reaction Formula:

\[ R_{int} = \frac{5wL}{4} \]

N/m
m

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1. What is the Interior Reaction Formula?

The interior reaction formula calculates the reaction force at the interior support of a two-span continuous beam under uniform loading. This is essential for structural analysis and design of continuous beam systems.

2. How Does the Calculator Work?

The calculator uses the interior reaction formula:

\[ R_{int} = \frac{5wL}{4} \]

Where:

Explanation: This formula is derived from structural mechanics principles for a two-span continuous beam with equal spans and uniform loading.

3. Importance of Reaction Calculation

Details: Accurate reaction force calculation is crucial for structural design, ensuring proper support sizing, and verifying structural integrity of continuous beam systems.

4. Using the Calculator

Tips: Enter uniform load in N/m and span length in meters. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a continuous beam?
A: A continuous beam is a structural element that spans over multiple supports, providing better load distribution than simply supported beams.

Q2: When is this formula applicable?
A: This formula applies specifically to two-span continuous beams with equal spans and uniform loading conditions.

Q3: What are typical values for uniform load?
A: Uniform loads vary widely depending on the application, ranging from light residential loads (2-4 kN/m) to heavy industrial loads (10-20 kN/m or more).

Q4: How does span length affect the reaction force?
A: The reaction force increases linearly with both the uniform load and the span length, as shown in the formula.

Q5: Are there limitations to this formula?
A: This formula assumes equal spans, uniform loading, and ideal support conditions. Different formulas apply for unequal spans or concentrated loads.

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