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Continuous Beam Calculation Example

Continuous Beam Reaction Formula:

\[ R = \frac{3 q L}{8} \]

N/m
m

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1. What is the Continuous Beam Reaction Formula?

The continuous beam reaction formula calculates the reaction force at supports for a beam with uniform load distribution. This specific formula \( R = \frac{3 q L}{8} \) applies to a particular continuous beam configuration with specific support conditions.

2. How Does the Calculator Work?

The calculator uses the continuous beam reaction formula:

\[ R = \frac{3 q L}{8} \]

Where:

Explanation: This formula provides the reaction force at the intermediate support of a two-span continuous beam carrying a uniformly distributed load.

3. Importance of Reaction Force Calculation

Details: Accurate reaction force calculation is essential for structural design, ensuring proper support sizing, and verifying structural integrity under various loading conditions.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What type of beam configuration does this formula apply to?
A: This formula applies to a two-span continuous beam with specific support conditions and uniform loading.

Q2: Are there different formulas for different beam configurations?
A: Yes, reaction formulas vary depending on the number of spans, support types, and loading conditions.

Q3: What are typical units for these calculations?
A: Common units are Newtons for force, meters for length, and N/m for distributed load, though other consistent unit systems can be used.

Q4: What are the limitations of this formula?
A: This formula assumes ideal conditions, uniform material properties, and specific support conditions that may not apply to all real-world scenarios.

Q5: Should this calculation be used for final structural design?
A: For actual structural design, consult relevant design codes and consider all loading conditions, safety factors, and professional engineering judgment.

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