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 335
... ( calculated ) Modified Goodman line 3 Calculated points : △ Points on Gerber parabola ( mean ) o Points on -30 parabola Point P +30 Line ( experimental ) 4 Gerber parabola points ( calculated by Eq . 2 ) 5 6 40 80 120 = Sm psi x 103 Su ...
... ( calculated ) Modified Goodman line 3 Calculated points : △ Points on Gerber parabola ( mean ) o Points on -30 parabola Point P +30 Line ( experimental ) 4 Gerber parabola points ( calculated by Eq . 2 ) 5 6 40 80 120 = Sm psi x 103 Su ...
Page 386
... calculated failure probability . This effect may be pronouned if the lower limit of the range of the skewed distribution is greater than zero . Conversely , substituting a normal model for a right - skewed stress distribution may tend ...
... calculated failure probability . This effect may be pronouned if the lower limit of the range of the skewed distribution is greater than zero . Conversely , substituting a normal model for a right - skewed stress distribution may tend ...
Page 556
... calculated as follows [ 123 ] : 2 S 2 - [ 3 3 / ( n − 1 ) ] + [ 33 / ( m −1 ) ] 2 f≈ { [ -3 / ( n - 1 ) ] 2 / n + 1 } + { [ 3 / ( m −1 ) ] 2 / m + 1 } 2 ( c ) Example F In this example it is assumed that and S σ , are not known and ...
... calculated as follows [ 123 ] : 2 S 2 - [ 3 3 / ( n − 1 ) ] + [ 33 / ( m −1 ) ] 2 f≈ { [ -3 / ( n - 1 ) ] 2 / n + 1 } + { [ 3 / ( m −1 ) ] 2 / m + 1 } 2 ( c ) Example F In this example it is assumed that and S σ , are not known and ...
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