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Ramp Calculator

Ramp Calculation Formula:

\[ Length = \sqrt{rise^2 + run^2} \]

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1. What is the Ramp Length Calculation?

The ramp length calculation uses the Pythagorean theorem to determine the actual length of a ramp based on its vertical rise and horizontal run. This is essential for construction, accessibility planning, and various engineering applications.

2. How Does the Calculator Work?

The calculator uses the Pythagorean formula:

\[ Length = \sqrt{rise^2 + run^2} \]

Where:

Explanation: This formula calculates the direct distance along the ramp surface, which is always longer than either the rise or run alone.

3. Importance of Ramp Calculation

Details: Accurate ramp length calculation is crucial for ADA compliance, determining material requirements, ensuring proper slope ratios, and planning safe access routes for wheelchairs and mobility devices.

4. Using the Calculator

Tips: Enter both rise and run values in consistent units (meters, feet, etc.). Both values must be positive numbers. The calculator will provide the ramp length in the same units.

5. Frequently Asked Questions (FAQ)

Q1: What is the maximum slope ratio for ADA compliant ramps?
A: ADA guidelines recommend a maximum slope of 1:12 (1 unit of rise per 12 units of run).

Q2: How do I calculate ramp slope percentage?
A: Slope percentage = (rise ÷ run) × 100. For example, a 1:12 slope equals approximately 8.33% grade.

Q3: Does this calculation work for curved ramps?
A: No, this formula is for straight ramps only. Curved ramps require more complex calculations.

Q4: What if I only know the angle of the ramp?
A: If you know the angle (θ), you can calculate length = rise ÷ sin(θ) or length = run ÷ cos(θ).

Q5: How does this relate to the Pythagorean theorem?
A: This is a direct application of the Pythagorean theorem, where the ramp forms the hypotenuse of a right triangle with rise and run as the other two sides.

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