Hip Roof Metal Tile Calculator
Calculate metal tile roofing for complex hip roofs. Features geometric primitive analysis, waste factor estimation for valleys/hips, and module-length locking.
About
Hip roofs present a significant challenge for metal tile roofing compared to simple gables. The triangular facets require cutting sheets at angles, leading to high material wastage. Unlike asphalt shingles where cut-offs can often be reused, metal tiles have a specific direction and profile (step), meaning an off-cut from a valley often cannot be flipped to fit a hip.
This tool divides the roof into geometric primitives (triangles for hip ends, trapezoids for main slopes) and applies a Module Quantization logic. Metal tiles come in fixed step lengths (typically 350mm or 14in). Sheets must be ordered in multiples of this module to ensure the "step" aligns with the fascia. This calculator estimates the true effective area and applies a complexity-based waste factor to give a realistic order volume.
Formulas
For a standard hip roof, we calculate the slant height (s) from the run (r) and pitch (p):
The area of the triangular hip ends (Atri) and trapezoidal sides (Atrap):
Total Material (M) includes the waste factor (k):
Reference Data
| Feature | Geometry | Waste Factor (Est) | Cut Complexity | Formula Basis |
|---|---|---|---|---|
| Simple Gable | Rectangle | 3 - 5% | Low | Area only |
| Hip Roof (4 sides) | 2 Tri + 2 Trap | 12 - 15% | High | Trigonometry |
| Pyramid Hip | 4 Triangles | 15 - 18% | High | Slant Height |
| Valley Intersection | Re-entrant Angle | +5% per valley | Very High | Linear intersect |
| Dormer Add-on | Mixed | 20% local | High | Surface Area |
| Circular/Turret | Conical | 25 - 40% | Extreme | Sector Area |
| Ridge Cap | Linear | N/A | Low | Ridge + Hips |
| Hip Cap | Linear | N/A | Low | Slant Edge |