Slope Formula:
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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 describes the angle of inclination.
The calculator uses the slope formula:
Where:
Explanation: The slope represents how many units the ramp rises for each unit of horizontal distance. A slope of 0.1 means the ramp rises 1 unit for every 10 units of horizontal distance.
Details: Calculating ramp slope is essential for accessibility compliance, construction safety, wheelchair ramp design, and ensuring proper drainage in various engineering applications.
Tips: Enter both rise and run values in the same units (meters, feet, etc.). Both values must be positive numbers greater than zero.
Q1: What is the maximum slope for wheelchair ramps?
A: According to ADA guidelines, the maximum slope for a wheelchair ramp is 1:12 (approximately 8.33% or 4.76 degrees).
Q2: How do I convert slope to degrees?
A: To convert slope to degrees, use the formula: angle = arctan(slope). For example, a slope of 1 (45°) has an angle of 45 degrees.
Q3: What's the difference between slope and gradient?
A: Slope is typically expressed as a ratio (e.g., 1:12) while gradient is often expressed as a percentage (e.g., 8.33%). They represent the same concept but in different formats.
Q4: Can slope be greater than 1?
A: Yes, slopes greater than 1 indicate steep inclines where the vertical change exceeds the horizontal change. A slope of 2 means the ramp rises 2 units for every 1 unit of horizontal distance.
Q5: How is slope used in construction?
A: Slope calculations are critical for roof pitch, road grading, drainage systems, and ensuring accessibility compliance in building design.