1. What is Beam Deflection?

Beam deflection refers to the displacement of a beam under load. The formula δ = 5qL⁴/(384EI) calculates the maximum deflection of a simply supported beam with a uniformly distributed load.

2. How Does the Calculator Work?

The calculator uses the beam deflection formula:

Where:

• \( \delta \) — Maximum deflection (m)
• \( q \) — Uniformly distributed load (N/m)
• \( L \) — Beam length (m)
• \( E \) — Modulus of elasticity (Pa)
• \( I \) — Moment of inertia (m⁴)

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

3. Importance of Deflection Calculation

Details: Calculating beam deflection is crucial in structural engineering to ensure that beams don't deflect excessively under load, which could lead to serviceability issues or structural failure.

4. Using the Calculator

Tips: Enter all values in the specified units. Ensure all inputs are positive values. The calculator will compute the maximum deflection at the center of the beam.

5. Frequently Asked Questions (FAQ)

Q1: What types of beams does this formula apply to?
A: This formula applies specifically to simply supported beams with uniformly distributed loads.

Q2: What are typical deflection limits?
A: Deflection limits vary by application but are often L/360 for live loads and L/240 for total loads in building design.

Q3: How does material affect deflection?
A: Materials with higher modulus of elasticity (E) will deflect less under the same load conditions.

Q4: What if my beam has a different support condition?
A: Different support conditions (fixed, cantilever, etc.) require different deflection formulas.

Q5: How does beam shape affect deflection?
A: Beam shape affects the moment of inertia (I). Beams with higher I values (deeper sections) will deflect less.