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Stair Stringer Calculator - Stair Stringer Length & Angle Calculator

Free stair stringer calculator for construction projects. Calculate stair stringer length, cutting angles, tread depth, and riser height with professional accuracy. Our calculator provides precise measurements for safe and code-compliant stair construction.

Last updated: December 15, 2024

4 stringer types supported
Automatic angle calculations
Building code compliance

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Stair Stringer Calculator
Calculate stair stringer dimensions and cutting angles

Stair Dimensions

Step Specifications

Stringer Calculations

Number of Steps

13

Stringer Length

153.67"

Stringer Angle38.66°
Tread Overhang1"
Riser Gap2.22"
Material Length Needed165.67"

Includes 12" extra for cuts and waste

Safety Guidelines:

  • • Check local building codes for requirements
  • • Ensure riser height is consistent (max 7.75")
  • • Tread depth should be at least 10"
  • • Use proper safety equipment when cutting

Stair Stringer Types & Calculation Methods

Open Stringer
Cut stringer with visible treads and risers

Construction

Cut & Notched

Most common type, requires precise cutting for tread and riser notches

Closed Stringer
Solid stringer with attached treads and risers

Construction

Solid Board

Simpler construction, treads and risers attached to the top surface

Monolithic Stringer
Poured concrete or solid construction

Construction

Solid Pour

Durable option for outdoor or commercial applications

Cut Stringer
Precision-cut stringer for custom applications

Construction

Precision Cut

Custom-cut for specific dimensions and design requirements

Example Calculation

For a 96" rise and 120" run with 7.5" riser height:

Stringer Length

153.67"

Stringer Angle

38.66°

How Our Stair Stringer Calculator Works

Our stair stringer calculator uses geometric principles and building code requirements to provide accurate measurements for stair construction. The calculation considers rise, run, tread depth, and riser heightto determine the optimal stringer dimensions and cutting angles for safe, code-compliant stairs.

Stringer Calculation Formula

Stringer Length = √(Rise² + Run²)
Stringer Angle = arctan(Rise ÷ Run)
Number of Steps = Rise ÷ Riser Height
Material Length = Stringer Length + 12" (waste)

This formula uses the Pythagorean theorem to calculate the actual stringer length needed, determines the cutting angle for precise construction, and accounts for material waste to ensure you have enough lumber for the project.

📐 Stair Stringer Diagram

Shows rise, run, and stringer length relationship

Building Code Requirements

Stair construction must comply with local building codes for safety and accessibility. Key requirements include maximum riser height, minimum tread depth, consistent dimensions, and proper handrail installation. Our calculator helps ensure compliance while providing optimal comfort and safety for users.

  • Maximum riser height: 7.75 inches (7.5 inches recommended)
  • Minimum tread depth: 10 inches (11 inches recommended)
  • Maximum riser height variation: 3/8 inch
  • Handrail height: 34-38 inches from tread surface
  • Minimum headroom: 6 feet 8 inches
  • Maximum stair width: 44 inches (residential)

Sources & References

  • International Residential Code (IRC) - Stair Construction RequirementsStandard building code for residential stair construction
  • American National Standards Institute (ANSI) - Stair Safety GuidelinesSafety standards for stair design and construction
  • Fine Homebuilding - Stair Construction TechniquesProfessional construction methods and best practices

Need help with other construction projects? Check out our baluster calculator and rafter length calculator.

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Stair Stringer Calculator Examples

Open Stringer Construction Example
Calculate stringer dimensions for a 96" rise and 120" run with 7.5" riser height

Stair Specifications:

  • Total Rise: 96 inches
  • Total Run: 120 inches
  • Riser Height: 7.5 inches
  • Tread Depth: 10 inches
  • Stringer Width: 11.25 inches
  • Stringer Type: Open (cut stringer)

Calculation Steps:

  1. Number of steps: 96 ÷ 7.5 = 12.8 → 13 steps
  2. Actual riser height: 96 ÷ 13 = 7.38 inches
  3. Stringer length: √(96² + 120²) = 153.6 inches
  4. Stringer angle: arctan(96 ÷ 120) = 38.7°
  5. Material length: 153.6 + 12 = 165.6 inches
  6. Tread overhang: 1.5 inches (standard)

Result: 13 steps, 153.6" stringer length, 38.7° cutting angle

Material needed: 165.6" (13' 9.6") including waste factor for cuts and errors.

Closed Stringer Example

Same dimensions with closed stringer construction

Result: 153.6" stringer length, simpler construction

Steeper Stair Example

84" rise, 96" run for space-constrained area

Result: 41.2° angle, 127.3" stringer length

Frequently Asked Questions

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