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The Radius of Centroidal Axis is the radius of the axis of the curved beam passing through the centroid point. It represents the distance from the center of curvature to the centroid of the cross-sectional area.
The calculator uses the formula:
Where:
Explanation: The formula calculates the centroidal axis radius by adding half of the beam's diameter to the inner fiber radius, positioning the centroid at the geometric center of the circular cross-section.
Details: Accurate calculation of the centroidal axis is crucial for determining bending stresses, deflection analysis, and structural stability in curved beam design and analysis.
Tips: Enter the radius of inner fiber and diameter of the circular curved beam in meters. Both values must be positive numbers with the diameter greater than zero.
Q1: What is the significance of the centroidal axis in curved beams?
A: The centroidal axis determines the neutral axis position where bending stresses are zero, making it essential for stress distribution analysis.
Q2: How does this differ from straight beams?
A: In curved beams, the centroidal axis doesn't coincide with the neutral axis due to curvature effects, unlike straight beams where they are the same.
Q3: What are typical applications of this calculation?
A: This calculation is used in the design of hooks, crane hooks, chain links, arches, and other curved structural elements.
Q4: Are there limitations to this formula?
A: This formula applies specifically to circular cross-sections. Different formulas are needed for other cross-sectional shapes.
Q5: How does beam curvature affect stress distribution?
A: Curvature causes non-linear stress distribution across the cross-section, with higher stresses at the inner fiber compared to straight beams.