Distance from Center of Camber given Height for Parabolic Shape Camber Calculator

Distance from Center of Camber Formula:

\[ X = \sqrt{\frac{H_c \times (h_{Elevation} \times B)}{2}} \]

Height of Camber (H_c):

Elevation Difference (h_Elevation):

Pavement Width (B):

Tolerance:

Distance from Center (X): m

With Tolerance (±5%): m

1. What is Distance from Center of Camber?

Definition: This calculator determines the horizontal distance from the centerline where a specific camber height occurs in a parabolic road profile.

Purpose: It helps highway engineers design proper road camber for drainage while maintaining vehicle stability.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ X = \sqrt{\frac{H_c \times (h_{Elevation} \times B)}{2}} \]

Where:

\( X \) — Distance from center of camber (meters)
\( H_c \) — Height of camber (meters)
\( h_{Elevation} \) — Elevation difference at ends (meters)
\( B \) — Pavement width (meters)

Explanation: The formula calculates the point along the parabolic curve where the specified camber height occurs.

3. Importance of Camber Calculation

Details: Proper camber design ensures effective rainwater drainage from the road surface while maintaining vehicle comfort and safety.

4. Using the Calculator

Tips: Enter the camber height, elevation difference, pavement width, and tolerance percentage (default ±5%). All dimensional values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical camber height for roads?
A: Typically 2-4% of the pavement width (e.g., 0.07-0.14m for 3.5m wide pavement).

Q2: Why is tolerance important?
A: Tolerance accounts for construction variations and material settlement (±5% is common).

Q3: How does elevation difference affect the calculation?
A: Greater elevation differences create steeper camber profiles, moving the height point closer to the edge.

Q4: When would I need this calculation?
A: When designing road cross-sections or verifying existing road profiles meet drainage requirements.

Q5: Does this work for all road shapes?
A: No, this formula is specific to parabolic camber profiles (most common for highways).