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Beam Deflection Formula:
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Beam deflection refers to the displacement of a beam under load. It's a critical factor in structural engineering that determines how much a beam will bend when subjected to forces. Excessive deflection can lead to structural failure or serviceability issues.
The calculator uses the standard beam deflection formula:
Where:
Explanation: This formula calculates the maximum deflection of a simply supported beam with a uniformly distributed load.
Details: Accurate deflection calculation is essential for ensuring structural integrity, preventing excessive deformation, meeting building code requirements, and ensuring occupant comfort and safety.
Tips: Enter all values in the specified units. Ensure all values are positive and within reasonable engineering limits for accurate results.
Q1: What is a typical acceptable deflection limit?
A: Building codes typically limit deflection to L/360 for live loads and L/240 for total loads, where L is the span length.
Q2: Does this formula work for all beam types?
A: This specific formula is for simply supported beams with uniformly distributed loads. Other support conditions and load types require different formulas.
Q3: What are typical values for modulus of elasticity?
A: Steel: ~200,000 MPa, Aluminum: ~69,000 MPa, Wood: ~6,000-14,000 MPa (varies by species and grade).
Q4: How do I calculate moment of inertia?
A: Moment of inertia depends on the cross-sectional shape. For common shapes like rectangles or I-beams, standard formulas or manufacturer tables are available.
Q5: What if my beam has point loads instead of distributed loads?
A: Different deflection formulas apply for point loads. You would need to use the appropriate formula for your specific loading condition.