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Deflection Formula:
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The fixed-fixed I-beam deflection formula calculates the maximum deflection at the center of an I-beam with both ends fixed when a point load is applied at the center. This formula is essential for structural engineering and beam design.
The calculator uses the deflection formula:
Where:
Explanation: The formula calculates the maximum deflection at the center of a fixed-fixed beam with a central point load, considering the beam's material properties and geometry.
Details: Accurate deflection calculation is crucial for structural design to ensure beams don't deflect beyond acceptable limits, which could compromise structural integrity and safety.
Tips: Enter point load in Newtons, beam length in meters, modulus of elasticity in Pascals, and moment of inertia in meters to the fourth power. All values must be positive.
Q1: What is a fixed-fixed beam?
A: A fixed-fixed beam is supported at both ends with fixed connections that prevent rotation and vertical movement at the supports.
Q2: When is this formula applicable?
A: This formula applies specifically to I-beams with both ends fixed and a single point load applied at the center of the beam.
Q3: What are typical deflection limits?
A: Deflection limits vary by application but are often L/360 for live loads and L/240 for total loads in building design, where L is the span length.
Q4: How does I-beam shape affect deflection?
A: The moment of inertia (I) value captures the effect of the I-beam's cross-sectional shape on its resistance to bending and deflection.
Q5: What if the load is not at the center?
A: This calculator is specifically for center point loads. Different formulas are needed for off-center or distributed loads.