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Slope Ratio Calculator Architecture

Slope Ratio Formula:

\[ Slope\ Ratio = \frac{Run}{Rise} = \frac{Horizontal\ Distance}{Vertical\ Distance} \]

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1. What is Slope Ratio in Architecture?

Slope ratio in architecture represents the relationship between horizontal distance (run) and vertical distance (rise). It is commonly expressed as "run:rise" and is fundamental in designing ramps, roofs, drainage systems, and accessible pathways.

2. How Does the Calculator Work?

The calculator uses the slope ratio formula:

\[ Slope\ Ratio = \frac{Run}{Rise} = \frac{Horizontal\ Distance}{Vertical\ Distance} \]

Where:

Additional Calculations: The calculator also provides slope percentage and angle in degrees for comprehensive analysis.

3. Importance of Slope Ratio Calculation

Details: Accurate slope calculation is crucial for ensuring building code compliance, accessibility standards, proper drainage, structural stability, and aesthetic design in architectural projects.

4. Using the Calculator

Tips: Enter run (horizontal distance) and rise (vertical distance) in consistent units. The calculator will provide slope ratio, percentage, and angle. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the standard slope ratio for wheelchair ramps?
A: ADA standards require a maximum slope of 1:12 (8.33%) for wheelchair ramps, meaning 1 unit vertical for every 12 units horizontal.

Q2: How does slope ratio differ from slope percentage?
A: Slope ratio is expressed as run:rise (e.g., 4:1), while slope percentage is (rise/run) × 100%. A 4:1 ratio equals 25% slope.

Q3: What are common slope ratios for roofing?
A: Roof slopes vary by material - typically 4:12 for asphalt shingles, 3:12 for metal roofing, and 2:12 for built-up roofs.

Q4: How is slope ratio used in drainage design?
A: Minimum slopes for drainage pipes are typically 1:40 to 1:100 depending on pipe size and application to ensure proper water flow.

Q5: Can I use different units for run and rise?
A: No, use consistent units (both in feet, both in meters, etc.) for accurate calculations. The calculator works with any consistent unit system.

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