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The Deflection Angle of Central Curve is the angle between the onward extension of the previous leg and the line ahead in a curved path. It is a fundamental parameter in road design and railway engineering for determining the curvature of transitions.
The calculator uses the formula:
Where:
Explanation: This formula calculates the deflection angle in degrees based on the geometric relationship between the curve length and radius.
Details: Accurate calculation of deflection angles is crucial for proper road and railway design, ensuring smooth transitions between straight and curved sections, and maintaining safety standards in transportation infrastructure.
Tips: Enter the length of the central curve and the radius of the central curve in meters. Both values must be positive numbers greater than zero for accurate calculation.
Q1: What units should be used for input values?
A: Both length and radius should be entered in meters for consistent results.
Q2: Can this formula be used for both road and railway design?
A: Yes, this formula is applicable to both road and railway curve design where central curve parameters are considered.
Q3: What is the typical range of deflection angles in practical applications?
A: Deflection angles typically range from a few degrees to about 30-40 degrees, depending on the design speed and curvature requirements.
Q4: How does radius affect the deflection angle?
A: For a given curve length, a larger radius will result in a smaller deflection angle, indicating a gentler curve.
Q5: Are there limitations to this formula?
A: This formula assumes a perfect circular curve and may need adjustments for spiral transitions or compound curves in complex designs.