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Skyciv Beam Calculator

Beam Deflection Formula:

\[ \text{Deflection} = \frac{\text{load} \times \text{length}^3}{48 \times \text{E} \times \text{I}} \]

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mm⁴

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1. What is Beam Deflection?

Beam deflection is the degree to which a structural element is displaced under a load. It's a crucial factor in structural engineering to ensure safety and serviceability of beams in construction.

2. How Does the Calculator Work?

The calculator uses the beam deflection formula:

\[ \text{Deflection} = \frac{\text{load} \times \text{length}^3}{48 \times \text{E} \times \text{I}} \]

Where:

Explanation: This formula calculates the maximum deflection of a simply supported beam with a point load at its center.

3. Importance of Deflection Calculation

Details: Calculating deflection is essential for ensuring structural integrity, preventing excessive deformation, and meeting building code requirements.

4. Using the Calculator

Tips: Enter all values in the specified units. Ensure all values are positive numbers for accurate calculations.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical acceptable deflection limit?
A: For most building codes, deflection is typically limited to span/360 for live loads and span/240 for total loads.

Q2: Does this formula work for all beam types?
A: No, this specific formula is for simply supported beams with a central point load. Other configurations require different formulas.

Q3: What affects beam deflection the most?
A: Length has the greatest effect (cubed relationship), followed by material properties (E) and cross-section (I).

Q4: How does distributed load differ from point load?
A: Distributed loads produce different deflection patterns and typically result in less maximum deflection than equivalent point loads.

Q5: What materials have high modulus of elasticity?
A: Steel has high E (~200 GPa), while wood has lower E (~10 GPa), meaning steel deflects less under the same load.

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