To calculate superelevation for a road
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How to Calculate Superelevation in Road Design
Superelevation is the banking of a curve in a road to help vehicles maintain control while turning at high speeds. It is an important design parameter for safety, comfort, and smooth traffic flow. Here’s how to calculate the required superelevation for a road curve:
Superelevation Formula:
The formula for calculating superelevation is:
e = (V²) / (g × R)
Where:
- e: Superelevation (in meters or feet)
- V: Design speed (in meters per second or feet per second)
- g: Gravitational acceleration (9.81 m/s² or 32.2 ft/s²)
- R: Radius of the curve (in meters or feet)
Example Calculation:
Assume the following design parameters for a road curve:
- Design Speed (V): 60 km/h (16.67 m/s)
- Radius (R): 200 meters
Step 1: Convert Design Speed
Convert the design speed from kilometers per hour to meters per second:
V = 60 km/h = 60 × (1000 / 3600) = 16.67 m/s
Step 2: Calculate Superelevation
Now, apply the formula to calculate the superelevation:
e = (16.67)² / (9.81 × 200) = 277.89 / 1962 = 0.1415 meters
Final Result:
- Superelevation (e): 0.1415 meters or approximately 14 cm
Conclusion:
For a curve with a radius of 200 meters and a design speed of 60 km/h, the required superelevation is about 14 cm. This superelevation helps vehicles navigate the curve smoothly while preventing slipping due to centrifugal force.
Factors Affecting Superelevation:
- Speed: Higher speeds require greater superelevation.
- Radius: Smaller radii require more superelevation for the same speed.
- Weather Conditions: Wet or icy conditions may require adjustments to superelevation.
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