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Wood Floor Deflection Calculator

Wood Floor Deflection Formula:

\[ \delta = \frac{5 w L^4}{384 E I} \]

N/mm
mm
MPa
mm⁴

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1. What is Wood Floor Deflection?

Wood floor deflection refers to the bending or sagging of floor joists under load. The formula calculates the maximum deflection at the center of a simply supported beam under uniform load, which is essential for structural design and ensuring floor performance meets building code requirements.

2. How Does the Calculator Work?

The calculator uses the wood floor deflection formula:

\[ \delta = \frac{5 w L^4}{384 E I} \]

Where:

Explanation: This formula calculates the maximum deflection at the center of a simply supported beam carrying a uniformly distributed load.

3. Importance of Deflection Calculation

Details: Proper deflection calculation is crucial for ensuring structural integrity, preventing excessive sagging, meeting building code requirements, and ensuring occupant comfort in wood floor systems.

4. Using the Calculator

Tips: Enter uniform load in N/mm, length in mm, modulus of elasticity in MPa, and moment of inertia in mm⁴. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is acceptable deflection for wood floors?
A: Building codes typically limit deflection to L/360 for live loads and L/240 for total loads, where L is the span length.

Q2: How does modulus of elasticity affect deflection?
A: Higher modulus of elasticity (stiffer material) results in less deflection, while lower modulus results in more deflection.

Q3: What is moment of inertia and why is it important?
A: Moment of inertia measures the beam's resistance to bending. Higher values indicate greater stiffness and less deflection.

Q4: Does this formula work for other materials?
A: While the formula structure is universal, the modulus of elasticity value must be appropriate for the specific material being used.

Q5: What are typical E values for wood?
A: Modulus of elasticity for wood varies by species, ranging from about 7,000-14,000 MPa for softwoods and 8,000-16,000 MPa for hardwoods.

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