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Height for Parabolic Shape Camber Calculator

Height of Camber Formula:

\[ H_c = \frac{2 \times X^2}{h_{Elevation} \times B} \]

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1. What is Height for Parabolic Shape Camber?

Definition: This calculator determines the height of camber (cross slope) for a parabolic-shaped road surface based on distance from center, elevation difference, and pavement width.

Purpose: It helps highway engineers design proper road camber for effective drainage and vehicle stability.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ H_c = \frac{2 \times X^2}{h_{Elevation} \times B} \]

Where:

  • \( H_c \) — Height of Camber (meters)
  • \( X \) — Distance from Center of Camber (meters)
  • \( h_{Elevation} \) — Elevation Difference at ends (meters)
  • \( B \) — Pavement Width (meters)

Explanation: The formula calculates the vertical height difference at any point along the parabolic camber profile.

3. Importance of Camber Height Calculation

Details: Proper camber design ensures effective rainwater drainage from the road surface, prevents water accumulation, and improves vehicle safety.

4. Using the Calculator

Tips: Enter the distance from center, elevation difference (±5%), and pavement width (±5%). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical camber height for roads?
A: Typically 1:50 to 1:25 (2% to 4%) slope for highways, varying based on rainfall intensity.

Q2: Why ±5% tolerance for elevation and width?
A: This accounts for construction tolerances and material variations in real-world applications.

Q3: When would I need to calculate camber height?
A: During road design, construction quality control, or when evaluating existing road geometry.

Q4: How does parabolic shape differ from straight camber?
A: Parabolic camber provides smoother transitions and better drainage than simple straight-line slopes.

Q5: What affects the elevation difference in this calculation?
A: Road design speed, expected traffic volume, and regional rainfall patterns primarily determine elevation differences.

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