1. What is Gradient?

Gradient is a measure of steepness or incline of a slope, calculated as the ratio of vertical change (rise) to horizontal change (run). It is a dimensionless quantity that describes how steep a ramp or slope is.

2. How Does the Calculator Work?

The calculator uses the gradient formula:

Where:

• \( \text{rise} \) — Vertical change (in consistent units)
• \( \text{run} \) — Horizontal change (in consistent units)

Explanation: The gradient represents how much vertical elevation changes per unit of horizontal distance. A higher gradient indicates a steeper slope.

3. Importance of Gradient Calculation

Details: Gradient calculation is essential in construction, civil engineering, accessibility design, and various sports. It helps determine if a slope meets safety standards and functional requirements.

4. Using the Calculator

Tips: Enter both rise and run values in the same units (meters, feet, etc.). Run must be greater than zero. The result is a dimensionless ratio.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for rise and run?
A: Use any consistent units (both in meters, both in feet, etc.). The gradient result will be the same regardless of the unit system.

Q2: What is considered a steep gradient?
A: Gradients above 0.1 (10%) are generally considered steep for walking. Wheelchair ramps typically require gradients less than 0.083 (8.3%).

Q3: How is gradient different from angle?
A: Gradient is a ratio (rise/run), while angle is measured in degrees. They are related through trigonometric functions.

Q4: Can gradient be greater than 1?
A: Yes, when the vertical change exceeds the horizontal change (rise > run), the gradient will be greater than 1, indicating a very steep slope.

Q5: How is gradient expressed in percentage?
A: Multiply the gradient by 100 to get percentage grade. For example, a gradient of 0.08 equals an 8% grade.