Deflection Formula:
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Deflection in structural engineering refers to the degree to which a structural element is displaced under a load. For square tubes, calculating deflection is crucial for ensuring structural integrity and preventing failure in applications such as construction, manufacturing, and engineering design.
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. The deflection is directly proportional to the load and the fourth power of the length, and inversely proportional to the modulus of elasticity and moment of inertia.
Details: Accurate deflection calculation is essential for structural design to ensure that beams and tubes can support intended loads without excessive bending that could lead to structural failure or serviceability issues.
Tips: Enter all values in metric units as specified. Ensure all values are positive numbers. The calculator will compute the deflection in millimeters based on the input parameters.
Q1: What is a typical acceptable deflection for square tubes?
A: Acceptable deflection varies by application, but a common rule is L/360 for floors and L/240 for roofs, where L is the span length.
Q2: How does material affect deflection?
A: Materials with higher modulus of elasticity (E) will deflect less under the same load. Steel typically has E = 200,000 MPa, while aluminum has E = 69,000 MPa.
Q3: Why is moment of inertia important?
A: Moment of inertia (I) represents the resistance to bending. Larger I values mean less deflection for the same 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 and load types require different formulas.
Q5: How accurate is this calculation?
A: This provides a theoretical maximum deflection. Actual deflection may vary due to material imperfections, connections, and other real-world factors.