Slope Formula:
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Definition: This calculator computes the slope of a ramp based on its vertical rise and horizontal run.
Purpose: It helps architects, builders, and designers determine the proper slope for ramps to meet accessibility standards and safety requirements.
The calculator uses the formula:
Where:
Explanation: The slope is calculated by dividing the vertical rise by the horizontal run.
Details: Proper slope calculation ensures ramps meet accessibility standards (typically 1:12 slope for ADA compliance), provide safe navigation, and comply with building codes.
Tips: Enter the vertical rise and horizontal run in consistent units. The run must be greater than zero.
Q1: What is the maximum slope for an ADA compliant ramp?
A: The maximum slope for an ADA compliant ramp is 1:12 (8.33% grade).
Q2: How do I convert slope to percentage?
A: Multiply the slope by 100. For example, a slope of 0.0833 equals 8.33%.
Q3: What units should I use for rise and run?
A: Use consistent units (both in inches, feet, meters, etc.). The calculator works with any unit as long as both inputs use the same unit.
Q4: What if my run is zero?
A: Run cannot be zero as division by zero is undefined. This would represent a vertical wall, not a ramp.
Q5: How does slope relate to angle?
A: The angle θ can be calculated as θ = arctan(slope). For small slopes, angle in degrees ≈ slope × 57.3.