Stair Stringer Calculator - Stair Calculator & Stringer Calculator
Free stair stringer calculator & stair calculator. Calculate stringer dimensions, materials needed, and installation costs. Our calculator uses carpentry industry standards to determine accurate measurements and cost estimates for stair construction.
Last updated: October 19, 2025
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Number of Steps
15
Stringer Length
161.44"
Stringer Angle
42°
Material (Board Feet)
37.84
Recommendation
Good stair proportions. Stringer design meets safety and comfort standards.
Stair Stringer Calculator Types & Features
Stringer length
√(Rise² + Run²)
Calculate the actual length of stringer board needed
Stringer angle
arctan(Rise ÷ Run)
Determine the angle of the stringer for proper installation
Board feet
Length × Width × Thickness
Calculate lumber requirements for stringer construction
Cost per board foot
$8 - $12
Estimate total project costs including materials and labor
Code requirements
Riser: 4-8.25"
Verify stair dimensions meet safety and building code standards
Number of steps
Rise ÷ Riser Height
Determine optimal number of steps for safe stair design
Quick Example Result
For a 108" rise × 120" run stair with 7.5" risers:
Stringer Length
161.2"
Stringer Angle
42.0°
How Our Stair Stringer Calculator Works
Our stair stringer calculator uses carpentry industry standards and geometric principles to determine accurate stringer dimensions and material requirements. The calculation applies carpentry industry standards to ensure precise measurements and cost estimates for stair construction.
Stair Stringer Calculation Formulas
Stringer Length = √(Rise² + Run²)Stringer Angle = arctan(Rise ÷ Run)Number of Steps = Rise ÷ Riser HeightBoard Feet = Length × Width × Thickness ÷ 144These formulas ensure accurate stringer calculations for safe stair construction. The calculations follow standard carpentry principles and building codes.
Shows stringer geometry, angles, and cutting layout
Carpentry Industry Standards
Stair stringer calculations are based on carpentry industry standards and building codes. These standards ensure safe stair construction and proper material usage. Professional carpenters use these calculations for accurate stringer cutting and installation.
- Riser height: 4-8.25 inches (building code requirement)
- Tread depth: Minimum 9 inches for safety
- Stringer spacing: Maximum 16 inches on center
- Stringer material: Minimum 2x10 lumber for residential
- Stringer angle: Typically 30-45 degrees for comfort
- Installation costs: 50-100% of material cost for professional work
Sources & References
- International Residential Code (IRC) - Stair RequirementsOfficial reference for residential stair construction standards
- National Association of Home Builders (NAHB) - Construction StandardsProfessional standards for residential construction practices
- American Wood Council (AWC) - Lumber StandardsStandards for lumber grades and structural requirements
Need help with other carpentry calculations? Check out our stud calculator and beam calculator.
Get Custom Calculator for Your BusinessStair Stringer Calculator Examples
Stair Properties:
- Total Rise: 108 inches
- Total Run: 120 inches
- Riser Height: 7.5 inches
- Tread Depth: 10 inches
Calculation Steps:
- Calculate steps: 108 ÷ 7.5 = 14.4 → 15 steps
- Calculate stringer length: √(108² + 120²) = 161.2"
- Calculate angle: arctan(108/120) = 42.0°
- Calculate material: 161.2 × 11.25 × 1.5 × 2 ÷ 144 = 37.8 bf
Result: 161.2" stringer length, 42.0° angle, 15 steps
Total material needed: 37.8 board feet for 2 stringers.
Steep Stair Example
96" rise × 80" run, 8" risers
124.8" length, 50.2° angle
Gentle Stair Example
120" rise × 180" run, 6" risers
216.3" length, 33.7° angle
Frequently Asked Questions
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