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The formula calculates the width of a beam section at a considered level given the radius of a circular section and the distance from the neutral axis. This is particularly useful in structural engineering for analyzing circular beam cross-sections.
The calculator uses the formula:
Where:
Explanation: The formula calculates the width of the beam section at a specific distance from the neutral axis using the Pythagorean theorem applied to the circular cross-section.
Details: Accurate calculation of beam section width is crucial for structural analysis, stress distribution calculations, and determining the moment of inertia in circular beam sections.
Tips: Enter the radius of the circular section and the distance from the neutral axis. Both values must be in meters and the radius must be greater than zero.
Q1: What is the neutral axis in a beam?
A: The neutral axis is the line through a beam where there is no longitudinal stress or strain when the beam is subjected to bending.
Q2: Why is this formula important for circular beams?
A: This formula helps determine the width at any level of a circular beam, which is essential for calculating section properties and stress distributions.
Q3: What are the units used in this calculation?
A: All measurements should be in meters (m) for consistent results.
Q4: Can this formula be used for non-circular sections?
A: No, this specific formula applies only to circular cross-sections. Different formulas are used for rectangular, I-beam, or other cross-sectional shapes.
Q5: What happens if the distance from neutral axis exceeds the radius?
A: If y > R, the calculation would result in the square root of a negative number, which is not physically possible for real beam sections.