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Hip roof calculator

This calculator will help you estimate hip roof parameters, including rafters and roof area
Anton2010-11-28 09:53:43
One of users asked us to create calculator which will help him estimate hip roof parameters, like rafter's lengths, roof rise and roof area.

Here it is. To get results you need to provide roof base dimensions (length and width) and roof pitch (we assume it is identical for all sides). All formulae are below the calculator.
Hip roof calculatorCreative Commons Attribution/Share-Alike License 3.0 (Unported)
 Common rafter length:
 Hip rafter length:
 Roof rise (h):
 Roof area:
 Ridge board length (C):

Pyramid hip roof
Hip roof
Here we consider two types of hipped roofs (see picture):
1) Pyramid hip roof - roof base is a square, roof sides are identical isosceles triangles
2) Hip roof - roof base is a rectangle, two sides are identical isosceles triangles and two sides are identical trapeziums.

  • Roof rise: h=\frac{b \tan \alpha}{2}
  • Common rafters: e=\frac{b}{2 \cos \alpha}
  • Hip rafters: d=\sqrt{h^2+\left(\sqrt{(\frac{b}{2})^2+(\frac{b}{2})^2}\right)^2}=\sqrt{h^2 +\frac{b^2}{2}} - pythagoras theorem
  • Roof area: S=4\frac{eb}{2}+2(a-b)e=2e(b+a-b)=2ea

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