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Hip roof calculator

This calculator will help you estimate hip roof parameters, including rafters and roof area

This page exists due to the efforts of the following people:

A

Anton

Timur

Timur

KL

Karen Luckhurst

Created: 13 years ago, Last updated: 4 years ago
Creative Commons Attribution/Share-Alike License 3.0 (Unported)

This content is licensed under Creative Commons Attribution/Share-Alike License 3.0 (Unported). That means you may freely redistribute or modify this content under the same license conditions and must attribute the original author by placing a hyperlink from your site to this work https://planetcalc.com/1147/. Also, please do not modify any references to the original work (if any) contained in this content.

One of our users asked us to create a calculator that would help him estimate hip roof parameters, such as rafter lengths, roof rise and roof area.

So, here it is. To get results you need to provide the roof base dimensions (length and width) and the roof pitch (we assume it is identical for all sides). All formulae are below the calculator.

PLANETCALC, Hip roof calculator

Hip roof calculator

Roof base length (a)
Roof base width (b)
Roof pitch or roof slope (degrees)
Digits after the decimal point: 5
Common rafter length
5.22
Hip rafter length
6.58
Roof rise (h)
3.36
Roof area
104.43
Ridge board length (C)
2
Volume
98.45436



Pyramid hip roof
Pyramid hip roof



Hip roof
Hip roof



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

Here you can calculate the hip roof parameters by hip raise and base parameters.

PLANETCALC, Hip roof by roof raise, length and width

Hip roof by roof raise, length and width

Roof base length (a)
Roof base width (b)
Digits after the decimal point: 5
Angle
45
Hip rafter length
6.93
Roof area
113.14
Common rafter length
5.66
Ridge board length (C)
2
Volume
117.33333

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