Slope Equation:
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Slope calculation measures the steepness or incline of a surface, expressed as the ratio of vertical change (rise) to horizontal change (run). In this calculator, rise is measured in inches and run in feet.
The calculator uses the slope equation:
Where:
Explanation: The formula converts run from feet to inches (by multiplying by 12) to maintain consistent units with rise, then calculates the slope ratio.
Details: Slope calculation is essential in construction, landscaping, road design, and drainage planning. It helps ensure proper grading for water runoff, accessibility compliance, and structural stability.
Tips: Enter rise in inches and run in feet. Both values must be positive numbers, with run greater than zero. The result is a unitless slope value.
Q1: Why convert run from feet to inches?
A: To maintain consistent units - both numerator and denominator must be in the same units for accurate slope calculation.
Q2: What does the slope value represent?
A: The slope value represents the ratio of vertical change to horizontal change. For example, a slope of 0.0833 means 1 inch of rise per 12 inches (1 foot) of run.
Q3: What is a typical slope for drainage?
A: For proper drainage, a minimum slope of 1-2% (0.01-0.02) is typically recommended, which equals approximately 0.12-0.24 inches per foot.
Q4: How is slope expressed as a percentage?
A: Slope percentage = slope × 100%. For example, a slope of 0.05 equals a 5% grade.
Q5: What's the maximum slope for wheelchair accessibility?
A: ADA guidelines typically require slopes no greater than 1:12 (8.33%) for ramps, which equals a slope of approximately 0.0833.