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me3023_stat1_Handout - Statistical Methods Introduction...

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Statistical Methods: Introduction, Applications, Histograms, Characteristics ME 3023 Measurements in Mechanical Systems Fall 2009 Dr. Gautam Chandekar Prepared on: September 7, 2009 ME 3023 Measurements in Mechanical Systems Fall 2009 Statistical Methods: Introduction, Applications, Histograms, Ch
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Statistical Methods ME 3023 Measurements in Mechanical Systems Fall 2009 Statistical Methods: Introduction, Applications, Histograms, Ch
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Statistical Methods ME 3023 Measurements in Mechanical Systems Fall 2009 Statistical Methods: Introduction, Applications, Histograms, Ch
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Part I Statistical Methods: Introduction and Applications ME 3023 Measurements in Mechanical Systems Fall 2009 Statistical Methods: Introduction, Applications, Histograms, Ch
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Introduction Engineering and scientific work often requires the collection of measurements or results from experiments. Most of the time, you can’t test every product. Sometimes because of the expense or time required to perform the test, sometimes because the test is destructive. But if the data collected is accurate and representative of all the tested and untested products, you can use your that data to draw conclusions about the population as a whole. ME 3023 Measurements in Mechanical Systems Fall 2009 Statistical Methods: Introduction, Applications, Histograms, Ch
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Application/Example: How Often Will This Elevator Fail? Simplified version: an elevator is supported by a wire rope that can withstand a stress of 30,000 psi. The load on the elevator causes a stress in the rope of 25,000 psi. Given this information alone, does the rope break? No. As long as the stress from the elevator load is less than the rope strength, we’re ok. No lawsuits, no death or dismemberment, no need for safety devices, no problem. Unfortunately, if you leave your analysis at this level, you’re very likely to have a big component failure at some point. Let’s try a less simplified example. ME 3023 Measurements in Mechanical Systems Fall 2009 Statistical Methods: Introduction, Applications, Histograms, Ch
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Application/Example: How Often Will This Elevator Fail? Statistical version: an elevator is supported by a wire rope that can withstand a stress of mean stress of 30,000 psi with a standard deviation of 1000 psi. The rope supplier isn’t perfect, and can’t provide ropes that have dead-on textbook values for the material’s yield and ultimate strengths 100% of the time.
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