Module 19C

# Module 19C - IE 361 Module 19"Statistical(Probabilistic...

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IE 361 Module 19 "Statistical" (Probabilistic) Tolerancing Reading: Section 5.4, Statistical Quality Assurance Methods for Engineers Prof. Steve Vardeman and Prof. Max Morris Iowa State University Vardeman and Morris (Iowa State University) IE 361 Module 19 1 / 18

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Combining Variation on Inputs In this module we consider simple probability-based methods of combining measures of input or component variability to predict output/system/overall variability. The basic tools available in this e±ort are
The Problem General Statement/Context Sometimes geometry or physical theory gives one an equation for a variable of interest in terms of more basic variables X , Y , . . . , Z U = g ( X , Y , . . . , Z ) and an issue of interest is how one might infer the level of variation to be seen in U from given information on the levels of variation in the inputs and the form of g . The context of this kind of study is usually design , where allowable levels of variation and the details that lead to a particular g are being decided in a "What if?" mode of thinking. Vardeman and Morris (Iowa State University) IE 361 Module 19 3 / 18

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Example Example 19-1 Box Packing Example 5.9 of SQAME is a nice "tolerance stack-up" example. A company wished to pack 4 units of product in a carton and was experiencing di¢ culty in packaging. The linear size of the carton interior ( Y ) and exterior linear sizes of four packages ( X carton "head space" ( U ) are illustrated in the ±gure below. In this problem, simple geometry reveals that U = Y X 1 X 2 X 3 X 4 Figure: Cartoon of a Packaging Problem (Example 5.9 of SQAME ) Vardeman and Morris (Iowa State University) IE 361 Module 19 4 / 18
Example Example 19-2 Resistor Asssembly Example 5.8 of SQAME is a simple circuit example involving an assembly elementary physics produce an equation for assembly resistance, R , R = R 1 + R 2 R 3 R 2 + R 3 Figure: A Schematic for Example 5.8 of SQAME Vardeman and Morris (Iowa State University) IE 361 Module 19 5 / 18

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Example Example 19-3 Auto Door Tolerancing
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Module 19C - IE 361 Module 19"Statistical(Probabilistic...

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