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Ramp Length Formula:
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The ramp slope length calculation determines the actual length of a ramp based on its vertical rise and angle of inclination. This is essential for construction, accessibility planning, and engineering projects where precise ramp dimensions are required.
The calculator uses the trigonometric formula:
Where:
Explanation: The formula uses the sine trigonometric function to calculate the hypotenuse (ramp length) of a right triangle where the rise represents the opposite side and the angle represents the angle of inclination.
Details: Accurate ramp length calculation is crucial for ensuring accessibility compliance, structural integrity, and user safety. Proper ramp dimensions are required by building codes and accessibility standards worldwide.
Tips: Enter the vertical rise in meters and the angle of inclination in degrees. The angle must be between 0 and 90 degrees. All values must be positive numbers.
Q1: What is the maximum recommended ramp angle?
A: For wheelchair accessibility, the maximum recommended slope is 1:12 (approximately 4.76 degrees). Steeper slopes may require handrails and are less accessible.
Q2: How does this differ from slope ratio calculation?
A: Slope ratio (e.g., 1:12) represents rise over run, while this calculation gives the actual diagonal length of the ramp surface.
Q3: What are common ramp angle ranges?
A: Gentle ramps: 0-5°, Moderate ramps: 5-10°, Steep ramps: 10-15° (for limited use), Very steep: 15°+ (not recommended for regular use).
Q4: When should I use this calculation?
A: Use for wheelchair ramps, vehicle ramps, loading docks, accessibility modifications, and any construction project involving inclined surfaces.
Q5: Are there building code requirements for ramps?
A: Yes, most building codes specify maximum slopes, minimum widths, landing requirements, and handrail specifications for ramps used for accessibility.