1. What is Distance from Neutral Axis of Curved Beam?

Distance from Neutral Axis of Curved Beam is defined as the distance from an axis in the cross-section of a curved beam along which there are no longitudinal stresses or strains. This parameter is crucial for analyzing stress distribution in curved structural elements.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( y \) — Distance from Neutral Axis (m)
• \( R_i \) — Radius of Inner Fibre (m)
• \( R_o \) — Radius of Outer Fibre (m)
• \( \ln \) — Natural logarithm function

Explanation: This formula calculates the distance from the neutral axis where bending stresses are zero in a curved beam, based on the inner and outer fiber radii.

3. Importance of Neutral Axis Calculation

Details: Accurate determination of the neutral axis position is essential for calculating bending stresses, designing curved structural elements, and ensuring structural integrity under loading conditions.

4. Using the Calculator

Tips: Enter the radius of inner fibre and radius of outer fibre in meters. Both values must be positive, and the outer radius must be greater than the inner radius for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why is the neutral axis important in curved beams?
A: The neutral axis determines where bending stresses are zero and helps in calculating stress distribution across the beam cross-section.

Q2: How does curvature affect the neutral axis position?
A: In curved beams, the neutral axis shifts toward the center of curvature compared to straight beams.

Q3: What units should be used for input values?
A: Both radius values should be in meters (m) for consistent results.

Q4: Are there limitations to this formula?
A: This formula applies specifically to rectangular curved beams with constant curvature and homogeneous material properties.

Q5: What if the outer radius is smaller than the inner radius?
A: The calculation requires that R_o > R_i. If this condition is not met, the result will be invalid.