Ramp Length Formula:
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Definition: This calculator determines the required length of a loading ramp based on the height to be overcome and the desired ramp angle.
Purpose: It helps in designing safe and functional loading ramps for vehicles, equipment, and accessibility purposes.
The calculator uses the formula:
Where:
Explanation: The height is divided by the sine of the angle to calculate the hypotenuse (ramp length) of the right triangle formed by the height and ramp.
Details: Correct ramp length ensures safety, proper equipment operation, and compliance with accessibility standards (typically 4.8° maximum slope for ADA ramps).
Tips: Enter the height to overcome in feet and the desired ramp angle in degrees (between 0.1° and 89.9°). All values must be positive.
Q1: What's a typical ramp angle for loading docks?
A: For vehicle loading, angles between 10°-15° are common. For accessibility, the maximum recommended slope is 4.8° (1:12 ratio).
Q2: How does angle affect ramp length?
A: Smaller angles create longer ramps (gentler slopes), while steeper angles (larger θ) result in shorter ramps.
Q3: What's the minimum angle possible?
A: The calculator accepts angles down to 0.1°, though practical ramps rarely go below 4°.
Q4: How do I measure the height accurately?
A: Measure vertical distance from ground level to the loading surface, accounting for any suspension movement.
Q5: Should I add extra length for safety?
A: Yes, consider adding 10-15% to the calculated length for approach and safety margins.