Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For K-12 Students · Tolerance Stack-Up

Tolerance Stack-Up for a PCB assembly

Built for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework. Simulate a PCB assembly live below — adjust the inputs and watch it respond, right in your browser.

Tolerance Stack-UpLive

worst-case vs statistical

Controls

Presets

Number of parts

Tolerance per part (±mm)

When parts stack in an assembly, their tolerances accumulate. Worst-case analysis simply adds them — safe but pessimistic, since all parts rarely hit their extremes together. Statistical (root-sum-square) analysis adds them in quadrature, giving a much tighter, more realistic range. Choosing between them decides how much precision — and cost — each part really needs.

▶ Run in Python

Data Inspector

Worst-case total±0.50 mm

Statistical (RSS)±0.22 mm

RSS savings55% tighter

Governing equation

T_{w c} = \sum ∣ t_{i} ∣ = 5 \times 0.1 = 0.50, T_{r ss} = \sum t_{i}^{2} = 0.1 5 = 0.22 mm

Reading this result: Across 5 parts, RSS (±0.22 mm) is 55% tighter than the worst-case ±0.50 mm — enough headroom to relax individual part tolerances and cut cost.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

or unlock everything with Pro →

Also for:Students Researchers Educators Engineers Hobbyists & Makers First Responders General version →

More with Tolerance Stack-Up

Tolerance Stack-Up for a CNC part Tolerance Stack-Up for an assembly line Tolerance Stack-Up for an injection mold Tolerance Stack-Up for a 3D print Tolerance Stack-Up for a welding cell Tolerance Stack-Up for a paint booth Tolerance Stack-Up for a packaging line Tolerance Stack-Up for a bottling plant

Frequently asked questions

Is this good for k-12 students?: Yes — this version of "Tolerance Stack-Up for a PCB assembly" is framed for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.