## Probabilistic mechanical designFocuses 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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### Contents

SUPPORTING MATHEMATICS | 16 |

LOADING RANDOM VARIABLES | 77 |

DESCRIBING COMPONENT GEOMETRY WITH RANDOM | 125 |

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### Common terms and phrases

AISI amplitude Appendix applied stress approximately assumed beam bending calculated Chapter coefficient of variation confidence interval considered constant constant-amplitude correlated cross section curve deflection determined deterministic diameter dimensional Distributions and Parameters dynamic loading element endurance limit engineering estimate the statistics Example factor Fatigue Strength Distributions follows force frequency fully reversed gear geometric given lognormally distributed materials behavior maximum mean value mechanical components modulus of elasticity moment-generating function narrow-band random loading normally distributed Notched partial derivatives plate prediction probabilistic design probability density function radius random process random values reliability S-N envelope sample shaft shear stress Sheet shown in Figure sinusoidal specified specimen standard deviation static load statistically independent steel stress at failure stress concentration Substitution of equation Table theory thickness tion tolerance utilizing equations value and standard variance vector Yes Yes yield strength zero