1. What is Fixed-Fixed Beam Deflection?

The fixed-fixed beam deflection formula calculates the maximum deflection of a beam with both ends fixed under a uniform load. This is important in structural engineering to ensure beams don't deflect beyond acceptable limits.

2. How Does the Calculator Work?

The calculator uses the fixed-fixed beam deflection formula:

Where:

• \( \delta_{max} \) — Maximum deflection (m)
• \( w \) — Uniform load (N/m)
• \( L \) — Beam length (m)
• \( E \) — Modulus of elasticity (Pa)
• \( I \) — Moment of inertia (m⁴)

Explanation: The formula calculates the maximum vertical displacement at the center of a beam with fixed ends under uniform loading.

3. Importance of Deflection Calculation

Details: Calculating beam deflection is crucial for structural design to ensure safety, serviceability, and compliance with building codes. Excessive deflection can cause cracking, vibration issues, and structural failure.

4. Using the Calculator

Tips: Enter uniform load in N/m, beam length in meters, modulus of elasticity in Pascals, and moment of inertia in m⁴. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a fixed-fixed beam?
A: A beam with both ends rigidly fixed or built-in, preventing rotation and vertical movement at the supports.

Q2: What are typical deflection limits?
A: Deflection limits vary by application but are typically L/240 to L/360 for live loads and L/180 to L/240 for total loads, where L is the span length.

Q3: How does this differ from simply supported beams?
A: Fixed-fixed beams have significantly less deflection (about 5 times less) than simply supported beams under the same loading conditions.

Q4: What materials are commonly used?
A: Steel, concrete, wood, and composite materials are commonly used, each with different modulus of elasticity values.

Q5: When is this formula applicable?
A: This formula applies to beams with uniform cross-section, homogeneous material, and within the elastic range of the material.