Examples
Examples
Try the starting example
- Nonoverlapping rectangles [width mm,height mm,centroid x mm,centroid y mm]
- [[100,10,0,0],[10,80,0,45]]
- Composite centroid x (mm)
- 0
- Composite centroid y (mm)
- 20
- Ixx about centroid (mm⁴)
- 1335000
- Iyy about centroid (mm⁴)
- 840000
Try another scenario
- Nonoverlapping rectangles [width mm,height mm,centroid x mm,centroid y mm]
- [[101,10,0,0],[10,80,0,45]]
- Composite centroid x (mm)
- 0
- Composite centroid y (mm)
- 19.889503
- Ixx about centroid (mm⁴)
- 1,339,061.23389
- Iyy about centroid (mm⁴)
- 865,250.833333
Calculation method
Calculation method
Composite centroid x (mm)
Area-weighted centroid and parallel-axis theorem for supplied nonoverlapping rectangles; no union subtraction.
Composite centroid y (mm)
Area-weighted centroid and parallel-axis theorem for supplied nonoverlapping rectangles; no union subtraction.
Ixx about centroid (mm⁴)
Area-weighted centroid and parallel-axis theorem for supplied nonoverlapping rectangles; no union subtraction.
Iyy about centroid (mm⁴)
Area-weighted centroid and parallel-axis theorem for supplied nonoverlapping rectangles; no union subtraction.
Symbols and units
- a
- Nonoverlapping rectangles [width mm,height mm,centroid x mm,centroid y 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
- User-supplied measurements and assumptions; Area-weighted centroid and parallel-axis theorem for supplied nonoverlapping rectangles; no union subtraction. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
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
Background reading; this does not imply endorsement or independent review of SumFizz.