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Deflection Of Steel Beam Calculator

Deflection Equation:

\[ \delta = \frac{w L^4}{8 E I} \]

lbs/in
in
psi
in^4

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1. What is the Deflection Of Steel Beam Equation?

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.

2. How Does the Calculator Work?

The calculator uses the deflection equation:

\[ \delta = \frac{w L^4}{8 E I} \]

Where:

Explanation: The equation calculates the maximum deflection at the center of a simply supported beam subjected to a uniformly distributed load.

3. Importance of Deflection Calculation

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.

4. Using the Calculator

Tips: Enter all values in the specified units. Ensure all values are positive and greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

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.

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