Ramp Calculation Formula:
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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.
The calculator uses the Pythagorean formula:
Where:
Explanation: This formula calculates the direct distance along the ramp surface, which is always longer than either the rise or run alone.
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.
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.
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.