Tolerance Stack Analysis Methods
Tolerance Stack Analysis MethodsFritz Scholz Research and TechnologyBoeing Information & Support ServicesDecember 1995AbstractThe purpose of this report is to describe various Tolerance stackingmethods without going into the theoretical details and derivationsbehind them. For those the reader is referred to Scholz (1995). Foreach method we present the assumptions and then give the tolerancestacking formulas. This will allow the user to make an informed choiceamong the man yavailable Methods covered are: worst case or arithmetic tolerancing,simple statistical tolerancing or the RSS method, RSS Methods withinflation factors which account for nonnormal distributions, toleranc-ing with mean shifts, where the latter are stacked arithmeticall yorstatisticall yin different wa ys, depending on how one views the trade-off between part to part variation and mean shifts. Boeing Information & Support Services, Box 3707, MS 7L-22, Seattle WA 98124-2207,e-mail: of Notation by Page of First Occurrencetermmeaningpage , istandard deviation, describes spread of a statistical2, 15distribution for part to part variationLiactual value of ithdetail part length dimension4Ggap, assembly criterion of interest,4usually a function (sum) of detail dimensions inominal value of ithdetail part dimension4Titolerance value for ithdetail part dimension6 nominal gap value, assembly
Tolerance stack analysis methods are described in various books and pa-pers, see for example Gilson (1951), Mansoor (1963), Fortini (1967), Wade ... tolerancing method one has tried to relax these distributional assumptions inavarietyofways. Asaconsequence such assumptionsaremorelikely to bemetinpractice. ...
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