1. What is the Ramp Slope Formula?

The ramp slope formula calculates the gradient or incline of a ramp, defined as the ratio of vertical change (rise) to horizontal change (run). It's a fundamental concept in geometry, engineering, and construction.

2. How Does the Calculator Work?

The calculator uses the slope formula:

Where:

• \( m \) — Slope (unitless ratio)
• \( rise \) — Vertical change (in consistent units)
• \( run \) — Horizontal change (in consistent units)

Explanation: The formula calculates how steep a ramp is by comparing its vertical height to its horizontal length.

3. Importance of Slope Calculation

Details: Slope calculation is essential for designing accessible ramps, road construction, roof pitches, and ensuring proper drainage. It helps determine if a slope meets safety standards and building codes.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for rise and run?
A: Use any consistent units (meters, feet, inches), but both measurements must use the same units.

Q2: How is slope typically expressed?
A: Slope can be expressed as a ratio (e.g., 1:12), decimal (e.g., 0.0833), percentage (e.g., 8.33%), or angle (e.g., 4.76°).

Q3: What is the maximum slope for an accessible ramp?
A: ADA guidelines typically recommend a maximum slope of 1:12 (8.33%) for wheelchair ramps.

Q4: Can slope be greater than 1?
A: Yes, slopes greater than 1 indicate steep inclines where the vertical change exceeds the horizontal change.

Q5: How do I convert slope to degrees?
A: Use the formula: angle = arctan(rise/run). Many calculators have a built-in inverse tangent function for this conversion.