1. What is the Deflection Equation?

The deflection equation calculates the maximum deflection of a simply supported beam under uniformly distributed load. This formula is fundamental in structural engineering for assessing beam performance and ensuring structural integrity.

2. How Does the Calculator Work?

The calculator uses the deflection equation:

Where:

• \( w \) — Uniformly distributed load (lb/ft)
• \( L \) — Length of the beam (ft)
• \( E \) — Modulus of elasticity (psi)
• \( I \) — Moment of inertia (in⁴)

Explanation: The equation calculates the maximum vertical displacement at the center of a simply supported beam under uniform loading.

3. Importance of Deflection Calculation

Details: Deflection calculations are crucial for ensuring structural safety, serviceability, and compliance with building codes. Excessive deflection can cause cracking, vibration issues, and user discomfort.

4. Using the Calculator

Tips: Enter all values in the specified units. Ensure positive values for all inputs. The calculator provides deflection in inches.

5. Frequently Asked Questions (FAQ)

Q1: What types of beams does this formula apply to?
A: This formula applies to simply supported beams with uniformly distributed loads and constant cross-section.

Q2: What are typical deflection limits?
A: Building codes typically limit deflection to L/360 for live loads and L/240 for total loads, where L is the span length.

Q3: How does material affect deflection?
A: Different materials have different modulus of elasticity (E) values. Higher E values result in less deflection for the same loading conditions.

Q4: What if the load is not uniform?
A: Different equations are needed for concentrated loads, variable loads, or other support conditions.

Q5: How accurate is this calculation?
A: This provides a theoretical maximum deflection. Actual deflection may vary due to material imperfections, connection details, and other factors.