A Slope Elevation Calculator is a useful tool for determining the slope or gradient between two points, which is essential in fields like civil engineering, construction, landscaping, and road design.

Formulas Used in the Calculator

1. Elevation Difference

The elevation difference is calculated by subtracting the elevation of Point A from the elevation of Point B.

$\text{Elevation Difference} = \text{Elevation of Point B} - \text{Elevation of Point A}$

2. Slope (Gradient)

The slope is calculated by dividing the elevation difference by the horizontal distance. It can be expressed as:

• A ratio (e.g., 1:20).
• A percentage (e.g., 5%).
• An angle in degrees (optional).

$\text{Slope (Ratio)} = \frac{\text{Elevation Difference}}{\text{Horizontal Distance}}$

$\text{Slope (Percentage)} = \left( \frac{\text{Elevation Difference}}{\text{Horizontal Distance}} \right) \times 100$

3. Slope Angle (Optional)

The slope angle can be calculated using the arctangent function:

$\text{Slope Angle} = \arctan\left( \frac{\text{Elevation Difference}}{\text{Horizontal Distance}} \right)$

Example Calculation

Inputs:

• Elevation of Point A: 100 meters
• Elevation of Point B: 120 meters
• Horizontal Distance: 200 meters

Step 1: Calculate Elevation Difference

$\text{Elevation Difference} = 120 \, \text{m} - 100 \, \text{m} = 20 \, \text{m}$

Step 2: Calculate Slope (Ratio and Percentage)

$\text{Slope (Ratio)} = \frac{20 \, \text{m}}{200 \, \text{m}} = 0.1 \, \text{(or 1:10)}$

$\text{Slope (Percentage)} = 0.1 \times 100 = 10\%$

Step 3: Calculate Slope Angle (Optional)

$\text{Slope Angle} = \arctan\left( \frac{20 \, \text{m}}{200 \, \text{m}} \right) = \arctan(0.1) \approx 5.71^\circ$

Outputs:

• Elevation Difference: 20 meters
• Slope (Ratio): 1:10
• Slope (Percentage): 10%
• Slope Angle: 5.71° (optional)

Why Use a Slope Elevation Calculator?

1. Accuracy: Ensures precise slope calculations for construction and design projects.
2. Efficiency: Saves time compared to manual calculations.
3. Versatility: Can be used for roads, ramps, landscaping, and more.