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The eccentricity between centroidal and neutral axis represents the distance between these two important axes in curved structural elements. This measurement is crucial for understanding stress distribution in curved beams and other curved structural components.
The calculator uses the simple formula:
Where:
Explanation: The formula calculates the difference between the radius of the axis passing through the centroid and the radius of the axis passing through points with zero stress.
Details: Accurate calculation of eccentricity is essential for structural analysis of curved beams, determining stress distribution, and ensuring proper design of curved structural elements in engineering applications.
Tips: Enter both radius values in meters. Ensure both values are positive and valid for accurate calculation of the eccentricity.
Q1: What is the centroidal axis in a curved beam?
A: The centroidal axis is the axis that passes through the centroid of the cross-section of the curved beam.
Q2: What is the neutral axis in a curved beam?
A: The neutral axis is the axis where the bending stress is zero when the beam is subjected to pure bending.
Q3: Why is there eccentricity between these axes in curved beams?
A: In curved beams, the neutral axis shifts toward the center of curvature due to the curvature effect, creating eccentricity from the centroidal axis.
Q4: How does eccentricity affect stress distribution?
A: The eccentricity causes non-linear stress distribution across the cross-section, with higher stresses on the inner fibers compared to straight beams.
Q5: When is this calculation most important?
A: This calculation is crucial in the design of hooks, chains, arches, and other curved structural elements where accurate stress analysis is required.