1. What is Beam Deflection?

Beam deflection refers to the displacement of a beam under load. The deflection equation calculates how much a simply supported beam will bend when subjected to a central point load.

2. How Does the Calculator Work?

The calculator uses the deflection equation:

Where:

• \( F \) — Applied load (N)
• \( L \) — Length of beam (m)
• \( E \) — Young's modulus of elasticity (Pa)
• \( I \) — Moment of inertia (m⁴)

Explanation: The equation shows deflection increases with load and length (cubed), and decreases with material stiffness and cross-sectional stiffness.

3. Importance of Deflection Calculation

Details: Calculating deflection is crucial for structural design to ensure beams don't deflect excessively, which could affect functionality or lead to failure.

4. Using the Calculator

Tips: Enter all values in consistent units. For accurate results, use precise material properties and cross-sectional properties. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What types of beams does this equation apply to?
A: This applies to simply supported beams with a single point load at the center.

Q2: How does length affect deflection?
A: Deflection increases with the cube of length - doubling length increases deflection 8 times.

Q3: What are typical Young's modulus values?
A: Steel ≈ 200 GPa, Aluminum ≈ 69 GPa, Wood ≈ 10-15 GPa (varies by species).

Q4: How do I find moment of inertia for my beam?
A: Standard formulas exist for common shapes (I-beams, rectangles, circles). Consult engineering tables.

Q5: What if my load isn't at the center?
A: Different equations are needed for off-center loads or distributed loads.