Online calculator: Hip roof calculator

Hip roof calculator

Roof base length (a)

Roof base width (b)

Roof pitch (degrees)

Calculation precision 0.1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0

Calculate

PLANETCALC

Common rafter length

Hip rafter length

Roof rise (h)

Roof area

Ridge board length (C)

Volume

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: $S=4\frac{eb}{2}+2(a-b)e=2e(b+a-b)=2ea$

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

Hip roof by roof raise, length and width