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Ramp Slope Calculation Formula

Ramp Slope Formula:

\[ m = \frac{\text{rise}}{\text{run}} \]

feet
feet

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1. What is the Ramp Slope Formula?

The ramp slope formula calculates the gradient or incline of a ramp by dividing the vertical change (rise) by the horizontal change (run). It's a fundamental calculation in construction, architecture, and accessibility design.

2. How Does the Calculator Work?

The calculator uses the slope formula:

\[ m = \frac{\text{rise}}{\text{run}} \]

Where:

Explanation: The formula represents the steepness of an incline as a ratio of vertical to horizontal distance.

3. Importance of Slope Calculation

Details: Accurate slope calculation is crucial for designing accessible ramps, determining vehicle ramp requirements, ensuring proper drainage, and meeting building code requirements.

4. Using the Calculator

Tips: Enter both rise and run values in the same units (feet, meters, etc.). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the maximum slope for an accessible ramp?
A: For ADA compliance, the maximum slope is 1:12 (rise:run), which equals approximately 8.33% grade.

Q2: How do I convert slope to percentage?
A: Multiply the slope (rise/run) by 100 to get the percentage grade.

Q3: What's the difference between slope and angle?
A: Slope is a ratio (rise/run), while angle is measured in degrees. You can convert using arctangent: angle = arctan(slope).

Q4: Can I use different units for rise and run?
A: No, both measurements must be in the same units since slope is a unitless ratio.

Q5: What does a slope of 1 mean?
A: A slope of 1 means the rise equals the run, creating a 45-degree angle (100% grade).

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