1. What is the I-Beam Deflection Formula?

The I-Beam Deflection formula calculates the vertical displacement of an I-beam under an offset point load. This is essential for structural engineering applications to ensure beams meet design requirements and safety standards.

2. How Does the Calculator Work?

The calculator uses the I-Beam Deflection formula:

Where:

• \( \delta \) — Deflection (m)
• \( P \) — Applied load (N)
• \( a \) — Distance from left support to load (m)
• \( b \) — Distance from right support to load (m)
• \( L \) — Total beam length (m)
• \( E \) — Modulus of elasticity (Pa)
• \( I \) — Moment of inertia (m⁴)

Explanation: This formula calculates the maximum deflection of an I-beam with an offset point load, considering the beam's material properties and geometry.

3. Importance of Deflection Calculation

Details: Accurate deflection calculation is crucial for structural design to prevent excessive deformation, ensure serviceability, and maintain structural integrity under load.

4. Using the Calculator

Tips: Enter all values in consistent units (meters for distances, Newtons for load, Pascals for modulus, m⁴ for moment of inertia). All values must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the offset point load?
A: An offset point load creates asymmetric deflection patterns, requiring specific calculations different from center-loaded beams.

Q2: How does moment of inertia affect deflection?
A: Higher moment of inertia reduces deflection as the beam becomes stiffer and more resistant to bending.

Q3: What are typical modulus values for common materials?
A: Steel: ~200 GPa, Aluminum: ~69 GPa, Wood: ~10 GPa (varies by species and grade).

Q4: When is this formula applicable?
A: For simply supported I-beams with a single offset point load, within elastic deformation limits.

Q5: What are acceptable deflection limits?
A: Typically L/360 for floors and L/240 for roofs under live loads, but specific codes may vary.