Examples
Examples
Try the starting example
- Leg length along its centreline (mm)
- 700
- Outward side slope angle from vertical (degrees)
- 0
- Outward end slope angle from vertical (degrees)
- 0
- Mount rectangle width (mm)
- 600
- Mount rectangle depth (mm)
- 400
- Footprint width (mm)
- 600
- Footprint depth (mm)
- 400
- Vertical leg drop (mm)
- 700
- Foot coordinates around mount centre (mm)
- (-300, -200); (300, -200); (300, 200); (-300, 200)
Try another scenario
- Leg length along its centreline (mm)
- 5
- Outward side slope angle from vertical (degrees)
- 36.86989764584402
- Outward end slope angle from vertical (degrees)
- 0
- Mount rectangle width (mm)
- 20
- Mount rectangle depth (mm)
- 10
- Footprint width (mm)
- 26
- Footprint depth (mm)
- 10
- Vertical leg drop (mm)
- 4
- Foot coordinates around mount centre (mm)
- (-13, -5); (13, -5); (13, 5); (-13, 5)
Calculation method
Calculation method
Footprint width (mm)
Mount width + two horizontal side offsets. For slopes tx and ty, side offset = leg length × tx / sqrt(1+tx²+ty²).
Footprint depth (mm)
Mount depth + two end offsets, calculated using the other slope.
Vertical leg drop (mm)
Leg length / sqrt(1+tan(side angle)²+tan(end angle)²).
Foot coordinates around mount centre (mm)
Four corners (−width/2,−depth/2), (width/2,−depth/2), (width/2,depth/2), (−width/2,depth/2).
Symbols and units
- a
- Leg length along its centreline (mm)
- b
- Outward side slope angle from vertical (degrees)
- c
- Outward end slope angle from vertical (degrees)
- d
- Mount rectangle width (mm)
- e
- Mount rectangle depth (mm)
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
- Four identical outward-sloping legs at the corners of a rectangular mounting pattern. The two angles define independent x/z and y/z slopes, not sequential Euler rotations. Ignores leg thickness and does not assess stability or structural capacity.
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.
Further reading
OpenStax: arithmetic and geometry ↗
Background reading; this does not imply endorsement or independent review of SumFizz.