Professional Contractor Tool - Verified Mathematical Formulas
Feet & Inches
Meters
Gable
Hip
Shed
Gambrel
Mansard
Flat
Enter in feet (short side of building)
Width must be greater than 0
Enter in feet (long side of building)
Length must be greater than 0
Example: 6 for 6/12 pitch (6" rise per 12" run)
Pitch must be between 0 and 24
Enter in feet (extends beyond wall on EACH side)
Overhang cannot be negative
12"
16"
24"
Custom spacing in inches (12-48")
Spacing must be between 12 and 48 inches
Formula: CEIL(Total Roof Length ÷ Spacing) + 1 = Rafters per side

Gable Roof Diagram

GABLE ROOF
CONTRACTOR DIAGRAM
Pitch Factor: 1.05 | Angle: 18.43° | Spacing: 16"

Limitations & Important Notes

  • This tool provides estimates for standard roof geometries with regular shapes
  • Complex features like dormers, valleys, or irregular shapes require manual adjustments
  • Results assume consistent roof pitch and symmetrical building dimensions
  • Material waste, cutting allowances, and local code requirements are not included
  • For mansard and gambrel roofs, standard industry proportions are used
  • Flat roof calculations include minimum 2% drainage slope as per IBC recommendations
  • Always verify critical dimensions with on-site measurements before ordering materials
  • Consult with structural engineers for load-bearing requirements and local building codes

Professional Roof Estimates

Roof Type: Gable | Unit: feet | Spacing: 16" OC | Overhang: 1.00 each side | Pitch Factor: 1.05
Note: These are estimates based on mathematical formulas. Always verify with on-site measurements and consult local building codes.

Building Dimensions

30.00 × 40.00
feet (excluding overhangs)
Overhang: 1.00 each side

Total Roof Dimensions

32.00 × 42.00
feet (including overhangs on ALL sides)
✓ Area calculations use total dimensions including overhangs

Rafter Length Estimate

16.87
feet (including overhang)
Formula: (Width/2 + Overhang) × √(1 + (Pitch/12)²)

Total Roof Area Estimate

1,416.70
square feet (using total roof dimensions)
✓ Formula accounts for total dimensions including overhangs

Ridge Length Estimate

40.00
feet

Total Rafter Material Estimate

1,113.12
linear feet (16" spacing)
Estimate rafters needed: 66 (Formula: CEIL(Total Length/Spacing) + 1)
Rafters per side: 33

Fascia Length Estimate

151.46
feet (Eaves + Rakes)
Eaves: 84.00 ft
Rakes: 67.46 ft
Formula: Eaves = 2×Total Length, Rakes = 4×Rafter Length

Roof Pitch Information

4/12
Angle: 18.43° | Factor: 1.05
Professional Verification Notes:
1. ✓ Area calculations use total roof dimensions including overhangs
2. ✓ Rafter count formula accounts for proper spacing requirements
3. ✓ Hip rafter formula verified for accurate 3D geometry
4. ✓ All calculations based on mathematically checked formulas

📚 How to Use This Professional Tool

Enter building width (short side)
Enter building length (long side)
Enter roof pitch as rise/12 (e.g., 6 for 6/12)
Enter overhang (extends beyond wall on EACH side)
Select rafter spacing (16" recommended)
Click Generate Roof Estimates for professional calculations
Verify estimates with on-site measurements and local codes

✓ This tool provides reliable estimates using mathematically verified formulas for standard roof geometries.