1. What is a Stair Slope Calculator?

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

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

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: The slope is calculated by dividing the vertical rise by the horizontal run (not including any landing areas).

3. Importance of Stair Slope Calculation

Details: Proper slope calculation ensures comfortable and safe stairs that meet building codes. Most codes recommend a slope between 0.55 and 0.7.

4. Using the Calculator

Tips: Enter the riser height and run length in meters. Both values must be > 0. The run length should not include any landing areas.

5. Frequently Asked Questions (FAQ)

Q1: What is a good stair slope ratio?
A: Typically between 0.55 and 0.7. Lower ratios are easier to climb but require more space.

Q2: How does landing affect the calculation?
A: Landings are excluded from the run length (L) in this calculation as they don't contribute to the slope.

Q3: What units should I use?
A: The calculator uses meters, but the slope ratio is dimensionless so any consistent units will work.

Q4: How does this relate to stair angle?
A: The angle can be calculated as arctan(S). A slope of 0.58 corresponds to about 30 degrees.

Q5: What if my stairs have varying riser heights?
A: Use the average riser height for the calculation, but note that building codes typically require consistent riser heights.