Slope Formula:
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Ramp slope is a measure of the steepness or incline of a ramp, calculated as the ratio of vertical change (rise) to horizontal change (run). It is a dimensionless quantity that indicates how much the ramp rises for each unit of horizontal distance.
The calculator uses the slope formula:
Where:
Explanation: The slope represents the steepness of the ramp. A higher slope value indicates a steeper incline, while a lower value indicates a gentler slope.
Details: Accurate slope calculation is crucial for designing accessible ramps, ensuring safety standards, determining wheelchair accessibility, and meeting building code requirements for various applications.
Tips: Enter the vertical change (rise) and horizontal change (run) in consistent units (both in meters, both in feet, etc.). Both values must be positive numbers greater than zero.
Q1: What is considered an accessible slope for ramps?
A: For wheelchair accessibility, slopes typically range from 1:12 to 1:20 (approximately 0.083 to 0.05), depending on local building codes and specific requirements.
Q2: How do I convert slope to degrees or percentage?
A: To convert to degrees: angle = arctan(slope). To convert to percentage: slope × 100%. This calculator provides the basic slope ratio.
Q3: What units should I use for rise and run?
A: Use consistent units (both meters, both feet, both inches, etc.). The slope result is unitless since it's a ratio of the same units.
Q4: Can slope be greater than 1?
A: Yes, slope can be greater than 1, indicating a very steep incline where the vertical change exceeds the horizontal change.
Q5: How does slope relate to ramp design standards?
A: Different applications have different maximum slope requirements. For example, building codes often specify maximum slopes for accessibility, while industrial applications may allow steeper slopes.