Easily calculate the deflection angle for spiral and transition curves in civil engineering projects. Our free online calculator helps surveyors and road designers ensure precise curve layouts for highways, railways, and pipelines, enhancing safety and efficiency. Understand the mathematics behind accurate curve design.
Formula:
The deflection angle (δ) from the tangent at the Tangent-Spiral (TS) to any point at distance 'l' along the spiral is calculated using the formula:
δ = (l2 / (6 × R × Ls)) × (180/π)
Where:
- δ = Deflection Angle (degrees)
- l = Distance along the spiral from the Tangent-Spiral (TS) to the point (e.g., in meters or feet)
- R = Radius of the circular curve (e.g., in meters or feet)
- Ls = Total length of the spiral (e.g., in meters or feet)