Probabilistic Mechanical Design
Focuses on the problem of engineering design based on the behavior of random variables. Gives numerous examples for determining reliability specifications in which both over- and under-designing can be avoided. Presents design methods that be adapted to nuclear, electrical and mining engineering as well as mechanical engineering specialities.
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According to equation alloy amplitude Appendix assumed axial axis beam bending calculated central limit theorem compression considered constant constant-amplitude correlated cross section cycles deflection deterministic diameter dimensional dimensions dynamic loading element engineering equations 2.28 estimate the statistics Example excl force gear geometric given incl independent random variables lb/in limit lognormally distributed material maximum mean value measurements mechanical components modulus of elasticity moment-generating function Monte Carlo simulation normal random variables normally distributed normally distributed random parameters partial derivatives probabilistic probabilistic design probability density function quotient radius random loading random process random values reliability sample shearing stress shown in Figure standard deviation static loads statistically independent steel strain energy stress at failure stress components stress concentration Table tensile thickness tion tolerance utilizing equations value and standard variance vector vibration Yes Yes yields zero