Ramp Gradient Formula:
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Definition: This calculator determines the gradient (slope) of a ramp based on its vertical height and horizontal length.
Purpose: It helps architects, engineers, and construction professionals design ramps that meet accessibility standards and safety requirements.
The calculator uses the formula:
Where:
Explanation: The gradient is calculated by dividing the vertical rise by the horizontal run.
Details: Proper gradient calculation ensures ramps are safe, accessible, and compliant with building codes (typically 1:12 maximum slope for ADA compliance).
Tips: Enter the vertical height and horizontal length in feet. Both values must be > 0. The result is a unitless ratio (e.g., 0.0833 for a 1:12 slope).
Q1: How do I convert gradient to percentage?
A: Multiply the gradient by 100. For example, 0.0833 × 100 = 8.33% slope.
Q2: What's the maximum allowable gradient for ADA ramps?
A: 1:12 slope (8.33%) is the maximum for ADA compliance. 1:20 (5%) is preferred where space allows.
Q3: How does gradient relate to angle?
A: The angle θ = arctan(G). For example, a 1:12 slope (G=0.0833) is about 4.76 degrees.
Q4: Should I measure length along the slope or horizontally?
A: For gradient calculation, use the horizontal length (run), not the sloped length.
Q5: How does this differ from slope ratio?
A: Gradient is H:L expressed as a decimal, while slope ratio is H:L expressed as a ratio (e.g., 1:12).