Stair Calculator
Stair Parameters
Calculation Results
Stair Calculator: Your Guide to Stair Design
Need to calculate stair dimensions? Our Stair Calculator helps you determine the exact measurements for your staircase project.
Understanding Stair Calculations
Stair calculations are important for several reasons:
- Safety: Proper dimensions for comfortable use
- Compliance: Meeting building codes
- Comfort: Optimal step dimensions
- Space Planning: Efficient use of space
- Material Planning: Accurate material estimates
How to Use the Stair Calculator
- Enter Total Height: Input total rise
- Enter Total Run: Input horizontal distance
- Enter Stair Width: Input step width
- Select Stair Type: Choose staircase style
- Enter Additional Parameters: Input headroom and landing length
- Click Calculate: Get stair dimensions
Stair Calculation Formulas
N = H / h
Step Height (Rise):
h = H / N
Step Depth (Run):
d = R / N
Stair Angle:
θ = arctan(H / R)
Stringer Length:
L = √(H² + R²)
Where:
N = Number of steps
H = Total height
h = Step height
R = Total run
d = Step depth
θ = Stair angle
L = Stringer length
Common Stair Specifications
- Standard Residential:
- Rise: 7-7.75 inches
- Run: 10-11 inches
- Width: 36-48 inches
- Headroom: 6'8" minimum
- Commercial:
- Rise: 7 inches maximum
- Run: 11 inches minimum
- Width: 44 inches minimum
- Headroom: 7'6" minimum
- Spiral Stairs:
- Rise: 7-8 inches
- Run: 9-10 inches
- Width: 36-48 inches
- Headroom: 6'8" minimum
- Winder Stairs:
- Rise: 7-7.75 inches
- Run: 10-11 inches
- Width: 36-48 inches
- Headroom: 6'8" minimum
Real-World Examples
Example 1: Standard Residential Stair
Total Height: 9 feet
Total Run: 12 feet
Stair Width: 36 inches
Stair Type: Standard
Headroom: 7 feet
Landing Length: 3 feet
Results:
- Number of Steps: 14
- Step Height: 7.71 inches
- Step Depth: 10.29 inches
- Stair Angle: 36.87 degrees
- Stringer Length: 15 feet
Example 2: Commercial Stair
Total Height: 12 feet
Total Run: 16 feet
Stair Width: 44 inches
Stair Type: Standard
Headroom: 7.5 feet
Landing Length: 4 feet
Results:
- Number of Steps: 20
- Step Height: 7.2 inches
- Step Depth: 9.6 inches
- Stair Angle: 36.87 degrees
- Stringer Length: 20 feet