1. What is Radius of Inner Fibre?

The Radius of Inner Fibre is the radius of the inner fiber of a curved structural element, particularly important in analyzing stress distribution in curved beams of circular cross-section.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( R_i \) — Radius of Inner Fibre (m)
• \( R \) — Radius of Centroidal Axis (m)
• \( d \) — Diameter of circular curved beam (m)

Explanation: The formula calculates the inner radius by subtracting half of the beam's diameter from the centroidal axis radius.

3. Importance of Radius Calculation

Details: Accurate calculation of inner fiber radius is crucial for determining stress distribution, bending moments, and structural integrity in curved beam design and analysis.

4. Using the Calculator

Tips: Enter the radius of centroidal axis and diameter of the circular curved beam in meters. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of inner fiber radius in beam analysis?
A: The inner fiber radius helps determine the maximum compressive stress in curved beams, which is critical for structural design and safety assessment.

Q2: How does this differ from outer fiber radius calculation?
A: Outer fiber radius is calculated as \( R_o = R + \frac{d}{2} \), while inner fiber radius uses subtraction instead of addition.

Q3: Can this formula be used for non-circular sections?
A: No, this specific formula applies only to circular cross-sections. Other cross-sectional shapes require different calculations.

Q4: What units should be used for input values?
A: The calculator uses meters for both radius and diameter inputs. Ensure consistent units for accurate results.

Q5: How precise should the measurements be?
A: For engineering applications, measurements should be precise to at least 3-4 significant figures to ensure accurate stress calculations.