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Continuous Beam Design Calculator

End Reaction Formula:

\[ R_{end} = \frac{3wL}{8} \]

N/m
m

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1. What Is The End Reaction Formula?

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

2. How Does The Calculator Work?

The calculator uses the end reaction formula:

\[ R_{end} = \frac{3wL}{8} \]

Where:

Explanation: This formula assumes a two-span continuous beam with equal spans and uniform loading, providing the reaction at the end supports.

3. Importance Of End Reaction Calculation

Details: Accurate calculation of end reactions is crucial for determining support requirements, designing foundations, and ensuring structural stability in continuous beam systems.

4. Using The Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is a continuous beam?
A: A continuous beam is a structural element that has more than two supports along its length, creating multiple spans.

Q2: When is this formula applicable?
A: This formula applies specifically to two-span continuous beams with equal spans under uniformly distributed load.

Q3: What are the assumptions behind this formula?
A: The formula assumes constant cross-section, homogeneous material, equal spans, and simple supports.

Q4: How do I calculate intermediate support reactions?
A: For a two-span continuous beam, the intermediate support reaction is typically 10wL/8 for equal spans under uniform load.

Q5: Can this be used for beams with more than two spans?
A: No, this formula is specifically for two-span continuous beams. Different formulas apply for beams with more spans.

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