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This formula calculates the length of curve or chord in a circular curve based on the tangent offset and radius of the circular curve. It's commonly used in civil engineering and surveying for road design and curve calculations.
The calculator uses the formula:
Where:
Explanation: This formula uses a square root function to calculate the length of curve based on the geometric relationship between tangent offset and the radius of the circular curve.
Details: Accurate calculation of curve length is crucial for road design, railway engineering, and surveying applications where precise curve measurements are essential for construction and alignment.
Tips: Enter tangent offset and radius of circular curve in meters. Both values must be positive numbers greater than zero for accurate calculation.
Q1: What is tangent offset in curve calculations?
A: Tangent offset refers to the perpendicular distance from the tangent line to the curve at a specific point, used to define the geometry of the curve.
Q2: When is this formula typically used?
A: This formula is commonly used in civil engineering for road design, railway track design, and surveying applications involving circular curves.
Q3: What are the units used in this calculation?
A: The formula uses consistent units, typically meters for both input values (tangent offset and radius) and the resulting length of curve.
Q4: Are there limitations to this formula?
A: This formula assumes a perfect circular curve and may not account for complex curve geometries or varying curve parameters in more sophisticated designs.
Q5: Can this formula be used for spiral curves?
A: No, this formula is specifically for circular curves. Spiral curves require different mathematical approaches and formulas.