Examples
Examples
Try the starting example
- Target stack dimension (mm)
- 60
- Target symmetric tolerance (mm)
- 0.2
- Components: name, nominal width mm, symmetric tolerance mm, quantity
- A,20,0.1,2 B,10,0.05,1
- Nominal component stack (mm)
- 50
- Worst-case stack minimum,maximum (mm)
- 49.75, 50.25
- Spacer range compatible with some tolerance combination (mm)
- 9.55, 10.45
- Spacer range guaranteed across every tolerance combination (mm)
- No guaranteed spacer interval
Try another scenario
- Target stack dimension (mm)
- 60
- Target symmetric tolerance (mm)
- 0.5
- Components: name, nominal width mm, symmetric tolerance mm, quantity
- A,20,0.1,2 B,10,0.05,1
- Nominal component stack (mm)
- 50
- Worst-case stack minimum,maximum (mm)
- 49.75, 50.25
- Spacer range compatible with some tolerance combination (mm)
- 9.25, 10.75
- Spacer range guaranteed across every tolerance combination (mm)
- 9.75, 10.25
Calculation method
Calculation method
Nominal component stack (mm)
Sum nominal width×quantity.
Worst-case stack minimum,maximum (mm)
Sum((nominal−tolerance)×quantity), sum((nominal+tolerance)×quantity).
Spacer range compatible with some tolerance combination (mm)
Intersect non-negative spacers with [target minimum−stack maximum,target maximum−stack minimum].
Spacer range guaranteed across every tolerance combination (mm)
Intersect non-negative spacers with [target minimum−stack minimum,target maximum−stack maximum]; report none if empty.
Symbols and units
- a
- Target stack dimension (mm)
- b
- Target symmetric tolerance (mm)
- c
- Components: name, nominal width mm, symmetric tolerance mm, quantity
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Calculation steps and notation
sum(list) adds all entries in the list.
Assumptions & limits
Assumptions & limits
- A worst-case dimensional stack for independently bounded widths. It does not specify bearing preload, compression, material behaviour or an approved spacer assembly.
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: Euclidean geometry and trigonometric identities ↗
Background reading; this does not imply endorsement or independent review of SumFizz.