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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Page 114
... Force Amplitude Dynamic - force amplitude is the basic loading parameter to be described . The strain ( e ) and internal restoring forces in a member are functions of the applied force . According to Swanson [ 41 ] , merely determining ...
... Force Amplitude Dynamic - force amplitude is the basic loading parameter to be described . The strain ( e ) and internal restoring forces in a member are functions of the applied force . According to Swanson [ 41 ] , merely determining ...
Page 185
... force components , two possible cases must be considered : ( 1 ) the additive effect of two ( or more ) independent forces acting simultaneously on a component and ( 2 ) the effect when the force components are correlated . The ...
... force components , two possible cases must be considered : ( 1 ) the additive effect of two ( or more ) independent forces acting simultaneously on a component and ( 2 ) the effect when the force components are correlated . The ...
Page 186
... force components . Next , consider the same beam loaded as shown in Figure 5.20 by force vector Z. Given the statistically independent force components X and Y ( Figure 5.19 ) , the statistics are determined to be ( x , › ̧ ) = ( 12,290 ...
... force components . Next , consider the same beam loaded as shown in Figure 5.20 by force vector Z. Given the statistically independent force components X and Y ( Figure 5.19 ) , the statistics are determined to be ( x , › ̧ ) = ( 12,290 ...
Contents
SUPPORTING MATHEMATICS | 16 |
LOADING RANDOM VARIABLES | 77 |
DESCRIBING COMPONENT GEOMETRY WITH RANDOM | 125 |
Copyright | |
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AISI amplitude Annealed Appendix applied stress approximately assumed axial axis beam bending calculated Chapter coefficient of variation confidence interval considered constant constant-amplitude correlated cross section curve cycles to failure deflection determined deterministic diameter dimensional Dist Distributions and Parameters dynamic loading element endurance limit engineering estimate the statistics Example F₁ factor Fatigue Strength Distributions follows force fracture frequency fully reversed gear geometric given K₁ lognormally distributed materials behavior maximum mean value mechanical components narrow-band random loading normally distributed Notched partial derivatives Plate probabilistic design probability density function R₁ R₂ radius random process reliability S-N envelope s₁ s₂ sample shaft shear stress Sheet shown in Figure specified specimen standard deviation static load statistically independent steel strain stress at failure stress concentration T₁ T₂ Table tensile strength theory thickness tolerance utilizing equations variance Weibull yield strength zero