Examples
Examples
Try the starting example
- Rectangular equal-pitch hip roof half-span (m)
- 4
- Common pitch angle (degrees)
- 30
- Hip plan run (m)
- 5.656854
- Roof rise (m)
- 2.309401
- Hip length (m)
- 6.110101
- Hip pitch (degrees)
- 22.207654
Try another scenario
- Rectangular equal-pitch hip roof half-span (m)
- 4
- Common pitch angle (degrees)
- 40
- Hip plan run (m)
- 5.656854
- Roof rise (m)
- 3.356399
- Hip length (m)
- 6.577645
- Hip pitch (degrees)
- 30.682056
Calculation method
Calculation method
Hip plan run (m)
a*math.sqrt(2)
Roof rise (m)
a*math.tan(b*math.pi/180)
Hip length (m)
math.sqrt(2*a*a+(a*math.tan(b*math.pi/180))**2)
Hip pitch (degrees)
math.atan(math.tan(b*math.pi/180)/math.sqrt(2))*180/math.pi
Symbols and units
- a
- Rectangular equal-pitch hip roof half-span (m)
- b
- Common pitch angle (degrees)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- One equal-pitch right-angle hip with plan diagonals at 45°. 0≤pitch<89°; unequal pitches and arbitrary roof intersections unsupported. Pure geometry. Supported limits: All numeric inputs must be finite. Only the explicitly described mathematical scenario is supported.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.