1. What is a Stair Slope Calculator?

Definition: This calculator determines the slope of stairs based on the riser height and run length.

Purpose: It helps architects, builders, and homeowners ensure stairs meet safety standards and comfort requirements.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( S \) — Slope (dimensionless ratio)
• \( h \) — Riser height (meters)
• \( L \) — Run length (meters)

Explanation: The slope is calculated by dividing the vertical rise by the horizontal run.

3. Importance of Stair Slope Calculation

Details: Proper slope calculation ensures stairs are comfortable to use and meet building code requirements (typically between 0.5 and 0.7 ratio).

4. Using the Calculator

Tips: Enter the riser height and run length in meters. Both values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is a comfortable stair slope?
A: Most building codes recommend a slope between 0.5 and 0.7 (rise/run).

Q2: How does slope affect stair safety?
A: Steeper slopes (higher ratios) are harder to climb and more dangerous, while shallower slopes require more space.

Q3: What are typical riser and run dimensions?
A: Common residential stairs have about 0.18m risers and 0.28m runs (slope ≈ 0.64).

Q4: Can I use different units?
A: Yes, but both measurements must use the same units (both in meters or both in inches, etc.).

Q5: How does slope relate to stair angle?
A: The angle (in degrees) can be calculated as arctan(S), where S is the slope ratio.