1. What is Radius of Centroidal Axis?

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.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( R \) — Radius of Centroidal Axis (m)
• \( R_N \) — Radius of Neutral Axis (m)
• \( e \) — Eccentricity Between Centroidal and Neutral Axis (m)

Explanation: The formula calculates the radius of the centroidal axis by adding the radius of the neutral axis to the eccentricity between the two axes.

3. Importance of Radius Calculation

Details: Accurate calculation of the centroidal axis radius is crucial for analyzing stress distribution, bending moments, and structural behavior in curved beams and arches.

4. Using the Calculator

Tips: Enter the radius of neutral axis and eccentricity values in meters. Both values must be non-negative numbers for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between centroidal and neutral axis?
A: The centroidal axis passes through the centroid of the cross-section, while the neutral axis is where bending stress is zero during flexure.

Q2: When does eccentricity occur between these axes?
A: Eccentricity occurs in curved beams where the centroidal and neutral axes don't coincide due to the curvature of the member.

Q3: How is this calculation used in structural design?
A: This calculation helps determine proper stress distribution and bending behavior in curved structural elements like arches and curved beams.

Q4: What units should be used for input values?
A: All input values should be in consistent units, typically meters for length measurements.

Q5: Can this formula be used for all types of curved beams?
A: This formula applies to curved beams with constant cross-sections and uniform curvature where the centroidal and neutral axes are parallel.