Slope Ratio Formula:
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Definition: This calculator converts a slope percentage into a ratio format (1:R) commonly used in construction and engineering.
Purpose: It helps architects, builders, and designers properly specify ramp slopes according to accessibility standards and construction requirements.
The calculator uses the formula:
Where:
Explanation: The formula converts a percentage slope (rise/run × 100) into a ratio format where 1 unit of vertical rise corresponds to R units of horizontal run.
Details: Proper slope ratio calculation ensures compliance with accessibility standards (like ADA), safety requirements, and proper drainage design.
Tips: Simply enter the slope percentage (must be greater than 0). The calculator will output the corresponding ratio in 1:R format.
Q1: What's the difference between slope percentage and ratio?
A: Percentage is rise/run × 100, while ratio expresses the relationship as 1 vertical unit to R horizontal units.
Q2: What's the maximum slope for ADA compliant ramps?
A: ADA requires a maximum 1:12 ratio (8.33% slope) for ramps.
Q3: How do I measure slope percentage in the field?
A: Measure vertical rise over a known horizontal run, then (rise/run) × 100.
Q4: When would I use ratio instead of percentage?
A: Ratio is commonly used in construction specifications, while percentage is often used in surveying and engineering drawings.
Q5: Can I calculate percentage from ratio?
A: Yes, S = 100/R. For example, 1:20 ratio = 100/20 = 5% slope.