Deflection Equation:
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The deflection equation calculates the maximum deflection of a simply supported steel beam under a uniformly distributed load. This is a fundamental calculation in structural engineering to ensure beams meet design requirements and safety standards.
The calculator uses the deflection equation:
Where:
Explanation: The equation calculates the maximum deflection at the center of a simply supported beam subjected to a uniformly distributed load.
Details: Calculating beam deflection is crucial for structural design to ensure that beams don't deflect excessively under load, which could lead to serviceability issues or structural failure.
Tips: Enter all values in the specified units. Ensure all values are positive and greater than zero for accurate calculation.
Q1: What is a typical modulus of elasticity for steel?
A: For structural steel, E is typically 29,000,000 psi (29 × 10^6 psi).
Q2: How do I find the moment of inertia for a specific beam?
A: Moment of inertia values are available in steel beam tables for standard shapes like I-beams, channels, and angles.
Q3: What is considered acceptable deflection?
A: Building codes typically limit deflection to L/360 for live loads and L/240 for total loads, where L is the span length.
Q4: Does this equation work for other materials?
A: The equation is valid for any linearly elastic material, but you must use the appropriate modulus of elasticity for that material.
Q5: What if the load is not uniformly distributed?
A: Different equations are needed for concentrated loads or other load patterns. This calculator specifically handles uniformly distributed loads.