Tolerance Stack-Up Calculator
Worst-case and RSS gap analysis for a four-component dimensional loop.
Open calculator →Clamping, locating pins, tolerance stack-up, and gauge R&R.
Worst-case and RSS gap analysis for a four-component dimensional loop.
Open calculator →Clamping force for toggle, pneumatic, or hydraulic fixture clamps.
Open calculator →Pin-hole fit limits, clearance or interference, and press-fit force estimates.
Open calculator →Measurement system metrics including %GRR, EV, AV, PV, and NDC from Xbar-R inputs.
Open calculator →Fixture and tooling calculators address workholding and measurement math: will the dimension chain close, will the clamp hold against cutter push, will the locator pin fit the bore, and is the gauge repeating well enough to trust.
Four tools map to those questions. Tolerance Stack-Up sums contributors to gap or interference. Clamping Force turns pressure, pad area, and friction into holding resistance. Locating Pin Fit maps hole and pin tolerances to clearance bands. Gauge R&R screens measurement variation from study inputs.
CMM fixtures and manual bench fixtures share pin fit math but not the same clamp philosophy. Inspection nests favor repeatability; machining nests favor anti-slide under cutting load.
Design reviews catch stack problems before locator bores are burned into the plate. A pin that fits on paper can bind if the hole pattern drifts or the part rocks before clamps close.
Hydraulic swing clamps and toggles multiply cylinder force through linkage ratio. You still need effective pad area and friction against the cutting force vector.
3-2-1 locating with round pins and diamond pins shows up in almost every machined fixture. Pin fit on the round locator is the calculation before you ream. Stack-up on the closed loop tells you whether the assembly gauge will accept parts at tolerance extremes.
Soft jaws broached for repeat parts change effective locator spacing over time. Re-run pin fit when the nest is resurfaced or swapped to a new jaw set.
Automotive transfer lines see impact and vibration that static clamp math understates. Add mechanical stops or margin when the tool engages hard on every cycle.
Document stack assumptions in the traveler. When a fixture copies to a second line, pin wear and plate bow shift the effective stack. Re-run when good parts fail at unchanged nominals.
Stack-up adds signed tolerances along a vector using worst-case or RSS per the form. Clamping force is pressure × area × friction coefficient against slide. Pin fit applies standard clearance rules to hole and pin sizes. Gauge R&R combines repeatability and reproducibility into study metrics.
Contributors must be independent and correctly signed in the stack direction. Bilateral versus unilateral tolerances matter. Read each tool page for the fit table and stack method it uses.
Worst-case stack-up on a clearance hole chain is conservative. RSS is kinder when contributors are independent and centered. Pick the method your quality plan expects before you argue with manufacturing.
Gauge R&R screening uses repeatability and reproducibility inputs you enter consistently with the study plan. It does not replace the full MSA report template your quality system requires.
Use during fixture design, first-article debug, stack-up reports, and gauge study planning. They support preliminary design and troubleshooting, not a complete PPAP package by themselves.
Safety-critical assemblies with full GD&T datum frames need more than a linear stack. Gauge R&R screening is not a substitute for your plant MSA procedure.
Pallet change repeatability on a horizontal cell depends on the same pin fit math as a standalone vise fixture. Verify both stations when parts fail only on pallet two.
Automotive body shop fixtures see vibration and impact loads that static clamp math understates. Add margin or mechanical stops when the tool hits hard on a transfer line.
True position and fit on the part print are in GD&T & Metrology Calculators. Feeds for the tool path in the fixture are under Machining & CNC Calculators.
Inspection nests on CMM fixtures prioritize repeatability over resisting heavy milling thrust. Size clamps for datuming repeat, not hog-out cutting loads.
Repeat builds benefit from documenting stack assumptions in the traveler. Re-run stack-up only when the gauge rejects good parts at unchanged nominals on the shop floor today.
Workholding spans design, build, and quality. Each role uses a different tool from this set. Outputs feed traveler notes and MSA plans rather than replacing signed quality records.
Translate the number before you change the drawing or ream a bore.