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Tolerance Analysis of linear dimension chain
Closed component ( due to manufacturing or assembly ) 6±0.10 A
Data Distribution & Statistical Approach The distributions are regulated by statistical law : The more common laws are : • Normal or Gaussian • Exponential • Chi- square • Poisson
Normal Distribution
Normal Distribution
Meanings of Sigma Limit sizes
Process yield [%]
Number of rejects per million components produced
± 1
68.2
317310
± 2
95.4
45500
± 3
99.73
2700
± 3.5
99.95
465
± 4
99.994
63
± 4.5
99.9993
6.8
± 5
99.99994
0.6
± 6
99.9999998
0.002
RSS Method ( Root Sum Squares ) • Assuming that : • Every dimension is represented by an indipendent normal variables • Partial component manufactered with a level of process capability ( quality ) 6σ ( not equal to producing conform component !! )
RSS Single component …..
RSS Closed component ? Which µ and σ ?
RSS
RSS • Assuming that the capability of the closed component is 6σ i obtain :
