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Stair Stringer Rise, Run & Layout Calculator

Compute stair risers, tread run, stringer board length, and building code compliance.

Quick Answer:Divide total vertical floor-to-floor rise by 7.5 inches to find riser count, then divide total rise by that count for exact individual step rise.
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How to Use the Stair Stringer Calculator: Rise, Run, Treads & Cut Angle

  1. 1Measure the exact total vertical rise (floor-to-floor height) in inches.
  2. 2Input your desired target step riser height (typically 7.0 to 7.75 inches).
  3. 3Specify your tread run depth (IRC code requires at least 10.0 inches).
  4. 4Review your calculated riser count, exact step rise, stringer board length, and incline angle.

Formula & How It Works

Stair Geometry & Building Code Rules

Risers = Round(Total Rise / Target) | Unit Rise = Total Rise / Risers | Stringer = √(Rise² + Run²)

Calculates unit rise and hypotenuse stringer dimensions adhering to IRC limits.

Worked Examples

105-Inch Total Floor-to-Floor Rise

Input: Total Rise: 105 inches, Target Rise: 7.5 in, Tread Run: 10.5 in

Explanation: 105 / 7.5 = 14 risers exactly, requiring an incline angle of 35.5° and a 15-foot 2x12 stringer board.

Result: 14 Risers @ 7.50" Rise | 13 Treads @ 10.5" Run (Total Run: 136.5") | 15 ft Board

Frequently Asked Questions

What is the maximum step rise allowed by the residential building code?▼

Under the International Residential Code (IRC), the maximum allowable riser height is 7.75 inches, and the minimum tread depth is 10.0 inches.

What is the Blondel rule of thumb for comfortable stairs?▼

The classic formula states that 2 × Rise + Run should equal 24 to 25 inches (e.g. 2 × 7.5" + 10" = 25"), providing an ergonomic walking cadence.

What size lumber should be used for stair stringers?▼

Stair stringers should always be cut from substantial 2x12 lumber stock to ensure adequate structural throat depth (at least 3.5 inches) remains after cutting tread notches.

How many stringers are required for an outdoor deck staircase?▼

For standard 36-inch wide composite decking stairs, install at least three or four stringers spaced no more than 12 inches on-center to prevent tread deflection.

Quick Reference & Conversion Table

Total Rise (Height)Riser CountUnit Step RiseTotal Horizontal Run (10.5" Tread)
56 inches8 Risers7.00 inches73.5 inches (6' 1.5")
75 inches10 Risers7.50 inches94.5 inches (7' 10.5")
98 inches13 Risers7.54 inches126.0 inches (10' 6")
112 inches15 Risers7.47 inches147.0 inches (12' 3")

⚠️ Common Pitfalls to Avoid

  • •Failing to drop the bottom stringer by the tread thickness, resulting in an uneven bottom step.
  • •Violating the 3/8-inch maximum variance rule between tallest and shortest risers in a stairway.

💡 Practical Real-World Uses

  • •Framing outdoor deck steps, patio stairs, and basement access stairways.
  • •Laying out framing square stair gauges on 2x12 pressure-treated stringer stock.
Last reviewed & updated: 2026-11-11
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