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The diameter of a circular curved beam is a straight line passing from side to side through the center of the beam cross-section. It represents the overall size of the beam's circular profile and is crucial for determining the beam's mechanical properties and load-bearing capacity.
The calculator uses the formula:
Where:
Explanation: The formula calculates the diameter by doubling the difference between the centroidal axis radius and the inner fiber radius, giving the total cross-sectional dimension of the curved beam.
Details: Accurate diameter calculation is essential for structural analysis, stress distribution calculations, and determining the bending stiffness of curved beams in various engineering applications.
Tips: Enter both radius values in meters. Ensure the radius of centroidal axis is greater than the radius of inner fiber. All values must be positive numbers.
Q1: What is the centroidal axis in a curved beam?
A: The centroidal axis is the line passing through the centroid (center of mass) of the cross-section along the length of the curved beam.
Q2: Why is the inner fiber radius important?
A: The inner fiber experiences the highest compressive stresses in bending, making its radius critical for stress analysis and failure prediction.
Q3: Can this formula be used for non-circular beams?
A: No, this specific formula applies only to circular curved beams with concentric circular cross-sections.
Q4: What units should be used for input values?
A: The calculator uses meters for consistency with SI units, but any consistent unit system can be used as long as all inputs use the same units.
Q5: How does beam diameter affect structural performance?
A: Larger diameters generally provide greater bending stiffness and load-bearing capacity, but also increase weight and material costs.