Wood Beam Deflection Formula:
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Wood beam deflection refers to the bending or displacement of a beam under load. It's a critical factor in structural design to ensure safety and serviceability of wooden structures.
The calculator uses the beam deflection formula:
Where:
Explanation: The formula calculates the maximum deflection at the center of a simply supported beam with uniformly distributed load.
Details: Calculating deflection is essential for ensuring structural integrity, preventing excessive bending that could lead to failure or serviceability issues in wooden structures.
Tips: Enter all values in the specified units. The uniform load should include all permanent and temporary loads. Typical values for E range from 1,000,000 to 1,800,000 psi for common wood species.
Q1: What is a typical acceptable deflection limit?
A: For residential floors, L/360 is common (deflection ≤ span/360). For roofs, L/240 is often used.
Q2: How does moisture affect wood beam deflection?
A: Moisture reduces stiffness (E) and increases deflection. Wet wood may deflect more than dry wood under the same load.
Q3: What's the difference between moment of inertia and section modulus?
A: Moment of inertia (I) affects deflection, while section modulus (S) affects bending stress. Both are important in beam design.
Q4: Can this formula be used for other materials?
A: The basic formula works for any material, but you must use the appropriate modulus of elasticity (E) for that material.
Q5: How does beam orientation affect deflection?
A: A beam used on edge (taller than wide) will have much less deflection than the same board used flat, due to higher moment of inertia.