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Square Tube Steel Deflection Formula:
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The square tube steel deflection formula calculates the maximum deflection of a simply supported beam under a uniformly distributed load. This is important for structural engineering applications to ensure beams meet design requirements.
The calculator uses the deflection formula:
Where:
Explanation: This formula calculates the maximum deflection at the center of a simply supported beam carrying a uniformly distributed load.
Details: Calculating deflection is crucial in structural engineering to ensure that beams and other structural elements do not deflect beyond acceptable limits, which could lead to serviceability issues or structural failure.
Tips: Enter the distributed load in N/m, length in meters, modulus of elasticity in Pascals, and moment of inertia in m⁴. All values must be positive numbers.
Q1: What is a typical modulus of elasticity for steel?
A: For most steel types, the modulus of elasticity is approximately 200 GPa (200 × 10⁹ Pa).
Q2: How do I calculate moment of inertia for a square tube?
A: For a square tube, I = (b⁴ - h⁴)/12, where b is the outer dimension and h is the inner dimension.
Q3: What are acceptable deflection limits?
A: Deflection limits vary by application but are typically L/360 for floors and L/240 for roofs under total load.
Q4: Does this formula work for other beam types?
A: This specific formula is for simply supported beams with uniformly distributed loads. Other support conditions require different formulas.
Q5: How does point load deflection differ from distributed load?
A: Point load deflection follows a different formula: δ = (P L³)/(48 E I) for a center point load on a simply supported beam.