The authors of this text seek to clarify mechanical fatigue and design problems by applying probability and computer analysis, and further extending the uses of probability to determine mechanical reliability and achieve optimization. The work solves examples using commercially available software. It is formatted with examples and problems for use in a one-semester graduate course. Formatted with examples and problems for use in a one-semester graduate course!This reference/text clarifies fatigue and design problems by applying probability and computer analysis, and further extending the uses of probability to determine mechanical reliability and achieve optimization. Solves examples using commercially available software!Including over 800 equations, references, and drawings, Probability Applications in Mechanical Designoutlines data reduction techniques for discrete and grouped data covers linear and nonlinear optimization and the basics of mechanical reliabilitypresents geometric programming methods and compares results to sample problems with computer generated nonlinear programming solutionsexpands principles applied to Gaussian and Weibull distributions to include non-parametric distributions gives failure rate data for mechanical systemsexplains Bayes theorem and decision trees enumerates factors influencing fatigue behaviorand more!Probability Applications in Mechanical Design is an excellent reference for mechanical, civil, architectural, plant, process, aeronautical, manufacturing, plastics, quality control, reliability, and design engineers; and a groundbreaking text for upper-level undergraduate and graduate students in these disciplines. This reference/text clarifies fatigue and design problems by applying probability and computer analysis, and further extending the uses of probability to determine mechanical reliability and achieve optimization--solving examples using commercially available software.Including over 800 equations, references, and drawings, Probability Applications in Mechanical Design outlines data reduction techniques for discrete and grouped data...covers linear and nonlinear optimization and the basics of mechanical reliability...presents geometric programming methods and compares results to sample problems with computer generated nonlinear programming solutions...expands principles applied to Gaussian and Weibull distributions to include nonparametric distributions...gives failure rate data for mechanical systems...explains Bayes theorem and decision trees...enumerates factors influencing fatigue behavior...and more. Preface......Page 9 Contents......Page 11 Data Reduction......Page 18 Application Mechanical of Probability to Design......Page 55 OptimumDesign......Page 160 Reliability......Page 202 Appendix A Linearization of the WeibullEquation......Page 238 Appendix B Monte Carlo Calculations......Page 240 Appendix C Computer Optimization Routines [3.20]......Page 242 Appendix D Mechanical Failure Rates for Non-Electronic Reliability......Page 245 Appendix E Statistical Tables......Page 273 Appendix F Los Angeles Rainfall 1877-1997......Page 281 Appendix G Software Considerations......Page 283 Author Index......Page 285 Subject Index......Page 287 A reference and textbook clarifying fatigue and design problems by applying probability and computer analysis in mechanical design. Extends the use of probability further to determine mechanical reliability and optimization. The examples are solved using commercially available software. This text seeks to clarify mechanical fatigue and design problems by applying probability and computer analysis, and further extending the uses of probability to determine mechanical reliability and achieve optimization. It solves examples using commercially available software Data for load carrying material properties can be modelled using any probability distribution function.