Gradient Formula:
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Gradient percentage is a measure of slope steepness expressed as a percentage. It represents the vertical rise divided by the horizontal run, multiplied by 100 to convert to percentage form.
The calculator uses the gradient formula:
Where:
Explanation: The formula calculates the ratio of vertical change to horizontal distance and expresses it as a percentage for easy interpretation.
Details: Gradient percentage is crucial in civil engineering, road construction, landscaping, and accessibility planning. It helps determine slope steepness for safety, drainage, and design purposes.
Tips: Enter rise and run values in meters. Both values must be positive numbers greater than zero. The calculator will compute the gradient percentage automatically.
Q1: What is considered a steep gradient?
A: Generally, gradients above 10% are considered steep, while gradients above 25% are very steep and may require special considerations.
Q2: How does gradient percentage relate to degrees?
A: Gradient percentage = tan(angle in degrees) × 100. For example, a 45° angle equals 100% gradient.
Q3: What is the maximum gradient for wheelchair access?
A: ADA guidelines recommend maximum gradients of 5% for ramps, with 8.33% as the absolute maximum for short distances.
Q4: Can I use different units for rise and run?
A: Yes, as long as both values use the same units (feet, meters, etc.), the gradient percentage calculation remains valid.
Q5: What does a negative gradient indicate?
A: A negative gradient indicates a downward slope. However, this calculator only handles positive values for simplicity.