Gradient Formula:
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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.
The calculator uses the gradient formula:
Where:
Explanation: The gradient represents how much the ramp rises for each unit of horizontal distance. A gradient of 0.1 means the ramp rises 0.1 units for every 1 unit of horizontal distance.
Details: Gradient calculation is essential in construction, civil engineering, accessibility design, and transportation planning. It helps ensure slopes meet safety standards and functional requirements.
Tips: Enter both rise and run values in the same units (meters, feet, etc.). The run value must be greater than zero. The result is a dimensionless ratio.
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: Steepness is context-dependent. For wheelchair ramps, gradients above 1:12 (0.083) are generally too steep. For roads, gradients above 6-8% are considered steep.
Q3: How is gradient different from slope percentage?
A: Gradient is a ratio (rise:run), while slope percentage is gradient multiplied by 100. A gradient of 0.08 equals an 8% slope.
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 used in accessibility standards?
A: Accessibility standards typically specify maximum gradients for ramps. For example, ADA standards require a maximum gradient of 1:12 (0.083) for wheelchair ramps.