Stair Calculator

Calculate rise, run, and number of steps for code-compliant stairs.

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The Comfort Formula: 17-18 Rule

The most comfortable stairs have Rise + Run = 17 to 18 inches.

  • Example: 7" Rise + 11" Run = 18" ✅ (Comfortable)
  • Bad Example: 8" Rise + 8" Run = 16" ❌ (Too steep)
Code Max: 7.75" Rise, 10" Run minimum. Headroom 6'8" minimum.
If total height = 108" (9 ft)
108" ÷ 7" = 15.4 steps
Round to 15 steps
108" ÷ 15 = 7.2" Rise

Building Code Quick Reference

DimensionIRC Residential Code
Max Riser Height7 3/4" (7.75")
Min Tread Depth10"
Min Width36" (handrails can project 4.5")
Headroom6' 8" minimum clearance
Max Variation3/8" difference between any two risers

Stair Rise & Run Formula

To find individual stair dimensions, calculate the number of steps by dividing the total rise by your target step height (typically 7 inches) and rounding. Then, calculate the actual riser height.

\text{Steps}Total number of risers (steps) in the staircase
\text{Actual Rise}\text{Total Rise} \div \text{Steps}
\text{Total Run}(\text{Steps} - 1) \times \text{Step Run (tread depth)}

Manual Step-by-Step Calculation

Suppose you are building a staircase with a total rise of 100 inches. You target a comfortable step rise of 7 inches, and a tread depth (run) of 10 inches.

1
1. Calculate Number of Steps
Divide total rise by desired step rise and round to the nearest whole step.
2
2. Calculate Actual Step Rise
Divide total rise by the rounded number of steps.
3
3. Calculate Total Run
Multiply one less than the step count by the tread run depth.
4
4. Convert to Feet
Divide by 12 to find the horizontal length of the staircase in feet.

Frequently Asked Questions

What is ideal stair rise and run?
Rise: 7-7.5". Run: 10-11". Building codes: max 7.75" rise, min 10" run.
How do I calculate number of steps?
Total rise ÷ desired step height = number of steps (round to whole number).
What is the 17-18 rule?
Rise + Run should equal 17-18 inches for comfortable stairs.
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Frequently Asked Questions

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Sources & Citations

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  • General Mathematical VerificationNational Institute of Standards and Technology (NIST)

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