Home Back

Mycarpentry.com Stair Calculator

Stair Slope Formula:

\[ S = \frac{h}{L} \]

Where:
S: Slope (dimensionless)
h: Riser height (m)
L: Run length (m)

meters
meters

Unit Converter ▲

Unit Converter ▼

From: To:

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 carpenters and builders ensure stairs meet safety standards and building codes.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ S = \frac{h}{L} \]

Where:

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

3. Importance of Stair Slope Calculation

Details: Proper slope ensures comfortable and safe stairs that meet building code requirements.

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's a typical stair slope?
A: Most building codes recommend a slope between 0.45 and 0.60 for comfortable stairs.

Q2: How does slope relate to stair angle?
A: The angle can be calculated as arctan(S). A slope of 0.5 equals about 26.6 degrees.

Q3: What are standard riser and run dimensions?
A: Typical residential stairs have 7-8 inch (0.18-0.20m) risers and 10-11 inch (0.25-0.28m) runs.

Q4: Why is slope important in stair design?
A: Proper slope ensures safety, comfort, and compliance with building codes.

Q5: How do I convert between meters and inches?
A: 1 meter = 39.37 inches. You can multiply meters by 39.37 to get inches.

Mycarpentry.com Stair Calculator© - All Rights Reserved 2025