1. What is Composite Beam Deflection?

Composite beam deflection refers to the vertical displacement of a beam made of multiple materials under load. The equivalent modulus approach simplifies analysis by treating the composite as a homogeneous material with modified properties.

2. How Does the Calculator Work?

The calculator uses the deflection formula for simply supported beams:

Where:

• \( \delta \) — Deflection (m)
• \( w \) — Uniformly distributed load (N/m)
• \( L \) — Beam length (m)
• \( E_{eq} \) — Equivalent modulus of elasticity (Pa)
• \( I \) — Moment of inertia (m⁴)

Explanation: This formula calculates the maximum deflection at the center of a simply supported beam under uniformly distributed load, using equivalent material properties for composite sections.

3. Importance of Deflection Calculation

Details: Deflection calculations are critical in structural engineering to ensure beams meet serviceability requirements, prevent excessive sagging, and maintain structural integrity under expected loads.

4. Using the Calculator

Tips: Enter all values in consistent SI units. The distributed load should be in N/m, length in meters, equivalent modulus in Pascals, and moment of inertia in m⁴. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is equivalent modulus (E_eq)?
A: Equivalent modulus is a calculated value that represents the composite material as a homogeneous material with modified elastic properties, accounting for different materials in the cross-section.

Q2: When is this deflection formula applicable?
A: This formula applies to simply supported beams with uniformly distributed load and linear elastic material behavior. The beam must have constant cross-section along its length.

Q3: How is moment of inertia calculated for composite beams?
A: For composite beams, the moment of inertia is typically calculated using the transformed section method, where different materials are converted to an equivalent section of one material.

Q4: What are typical deflection limits?
A: Deflection limits vary by application but are often specified as L/360 or L/240 for live loads, where L is the span length, to prevent visible sagging or damage to finishes.

Q5: Does this account for shear deformation?
A: No, this formula only considers bending deformation. For deep beams or composite materials with low shear stiffness, shear deformation may need to be considered separately.