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
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Stair Dimensions
Step Specifications
Stringer Calculations
Number of Steps
13
Stringer Length
153.67"
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
Construction
Cut & Notched
Most common type, requires precise cutting for tread and riser notches
Construction
Solid Board
Simpler construction, treads and risers attached to the top surface
Construction
Solid Pour
Durable option for outdoor or commercial 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.
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.
Get Custom Calculator for Your PlatformStair Stringer Calculator Examples
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:
- Number of steps: 96 ÷ 7.5 = 12.8 → 13 steps
- Actual riser height: 96 ÷ 13 = 7.38 inches
- Stringer length: √(96² + 120²) = 153.6 inches
- Stringer angle: arctan(96 ÷ 120) = 38.7°
- Material length: 153.6 + 12 = 165.6 inches
- 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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