Stair Calculator

Stair Parameters

Total rise of the stairs
Total horizontal distance
Width of each step
Type of staircase
Minimum headroom required
Length of landing (if applicable)

Calculation Results

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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

  1. Enter Total Height: Input total rise
  2. Enter Total Run: Input horizontal distance
  3. Enter Stair Width: Input step width
  4. Select Stair Type: Choose staircase style
  5. Enter Additional Parameters: Input headroom and landing length
  6. Click Calculate: Get stair dimensions

Stair Calculation Formulas

Number of Steps:
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

Frequently Asked Questions

What is the ideal step height?
7-7.75 inches for residential stairs.
How to handle landings?
Minimum 3 feet length for standard stairs.
What about handrails?
Required for stairs with more than 3 steps.
How to calculate stringer length?
Use Pythagorean theorem: √(height² + run²).
What about spiral stairs?
Different calculations for curved stringers.