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poisson distribution

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Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0009213
EISBN: 978-1-62708-176-4
... Abstract The six types of statistical distributions are normal distribution, log normal distribution, Weibull distribution, exponential distribution, binomial distribution, and Poisson distribution. This article discusses the applicability of each distribution, providing information...
Series: ASM Handbook
Volume: 13A
Publisher: ASM International
Published: 01 January 2003
DOI: 10.31399/asm.hb.v13a.a0003641
EISBN: 978-1-62708-182-5
... characteristics of probability distributions, such as normal distribution, log-normal distribution, exponential distribution, Poisson distribution, and extreme-value distribution. It also provides information on the statistical concepts to produce effective test programs. susceptibility stress-corrosion...
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002432
EISBN: 978-1-62708-194-8
... distribution is limited to samples of known size ( n is known) with a count of the number of times a certain event is observed. If the sample size is indefinite, that is, n is not known, the Poisson distribution can be used. In this case, the probability of exactly k failures occurring in time t...
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002431
EISBN: 978-1-62708-194-8
... Abstract This article discusses some of the statistical aspects of design from an engineer's perspective. It reviews the commonly used statistical terms and distributions for providing some guidance on the practical engineering applications of these distributions. The article describes...
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003262
EISBN: 978-1-62708-176-4
... for σ x and y be used when applying these equations. As an example, the springback and the residual stress distribution of a strip of annealed 1095 steel was examined ( Ref 9 ). For this material, yield strength is σ y = 308 MPa (44.7 ksi), Poisson's ratio is ν = 0.28, and the approximate...
Series: ASM Handbook
Volume: 2B
Publisher: ASM International
Published: 15 June 2019
DOI: 10.31399/asm.hb.v02b.a0006736
EISBN: 978-1-62708-210-5
... for gas and oil-transmission and distribution piping systems B54: Formed and arc-welded round tubes Physical properties of aluminum alloy 7072 Table 2 Physical properties of aluminum alloy 7072 Property Value Poisson’s ratio at 20 °C (68 °F) 0.33 Elastic modulus at 20 °C (68 °F...
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003387
EISBN: 978-1-62708-195-5
... in the vicinity of the free edge. The actual distributions of the shear stresses across the width of the laminate will be similar to those shown in Fig. 2 . Fig. 2 Distribution of shear stresses across the width of a laminate. Free-edge stress distribution is limited to a region approximately one laminate...
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003378
EISBN: 978-1-62708-195-5
... the development of the relations between mid-surface strains and curvatures and membrane stress and moment resultants. The article discusses the properties, such as thermal expansion, moisture expansion, and conductivity, of symmetric laminates and unsymmetric laminates. It describes the distribution...
Series: ASM Handbook
Volume: 5
Publisher: ASM International
Published: 01 January 1994
DOI: 10.31399/asm.hb.v05.a0001298
EISBN: 978-1-62708-170-2
... in the coating is: (Eq 2) σ th = ( α c − α s ) ( T 2 − T 1 ) E c / ( 1 − v c ) where α c and α s are the coefficients of thermal expansion for the coating and the substrate, respectively, and E c and ν c are the Young's modulus and Poisson's...
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003393
EISBN: 978-1-62708-195-5
...: the mean, the variability of the test data, and the number of tests. The specific distribution model for the variability of the data also has a large effect. For homogeneous materials, this approach works well. These allowables can be developed under a moderate degree of testing of relatively small samples...
Book Chapter

Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003377
EISBN: 978-1-62708-195-5
... physical properties are functions of both fiber and matrix physical properties, of their volume fractions, and perhaps also of statistical parameters associated with fiber distribution. The fibers usually have circular cross sections with little variability of diameters. A UDC is clearly anisotropic...
Book Chapter

Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003088
EISBN: 978-1-62708-199-3
.... In the probabilistic approach, each design parameter is accorded a statistical distribution of values. From these distributions and from an allowable limit on probability of failure, minimum acceptable dimensions in critical areas (or minimum strength levels for critical components) can be calculated. Compared...
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006632
EISBN: 978-1-62708-213-6
... and/or mechanical plastic deformation, as in forming, machining, grinding, shot peening, welding, quenching, or virtually any thermal-mechanical process that leaves a distribution of elastic strains. Phase transformations that produce nonuniform volume changes in a part, as in carburizing or case hardening of steel...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001761
EISBN: 978-1-62708-178-8
... distribution described by principal stresses σ 1 , and σ 2 exists in the plane of the surface, and no stress is assumed perpendicular to the surface, σ 3 = 0. However, a strain component perpendicular to the surface σ 3 exists as a result of the Poisson's ratio contractions caused by the two principal...
Series: ASM Handbook
Volume: 2
Publisher: ASM International
Published: 01 January 1990
DOI: 10.31399/asm.hb.v02.a0001075
EISBN: 978-1-62708-162-7
... 1 . Poisson's Ratio 0.35 Elastic Modulus Tension, 45 GPa (6.5 × 10 6 psi) Mass Characteristics Density 1.76 g/cm 3 (0.064 lb/in. 3 ) at 20 °C (68 °F) Thermal Properties Liquidus Temperature 645 °C (1190 °F) Solidus Temperature 630 °C (1170 °F) Coefficient...
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003257
EISBN: 978-1-62708-176-4
..., for example, a boom crane support, cable, or bolt. For this elementary case, the stress in the bar is uniformly distributed over the cross section of the tie bar and is given by: (Eq 1) σ = F / A where F is the applied force and A is the cross-sectional area of the bar. To avoid failure...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0005693
EISBN: 978-1-62708-178-8
... spectroscopy PGAA prompt gamma-ray activation analysis PIXE particle-induced x-ray emission RBS Rutherford backscattering spectrometry RDF radial distribution function (analysis) RHEED reflection high-energy electron diffraction SAD selected-area diffraction...
Book Chapter

Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005161
EISBN: 978-1-62708-186-3
... for σ x and y be used when applying these equations. As an example, the springback and the residual-stress distribution of a strip of annealed 1095 steel was examined ( Ref 11 ). For this material, yield strength is σ y =308 MPa (44.7 ksi), Poisson's ratio is ν=0.28, and the approximate...
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003399
EISBN: 978-1-62708-195-5
... and stress distribution under linear elastic conditions Stress-strain response and stress distribution under elastic-plastic or elastic-viscoplastic conditions It should be pointed out, especially to those familiar with PMCs, that while MMCs are often fabricated from lamina, the processing...
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003291
EISBN: 978-1-62708-176-4
...                           × [ ln ( R o / r ) + 1 − ( R o / r ) 2 Y 2 − 1 ln   Y ] where E is the modulus of elasticity and ν is Poisson's ratio. An example of the distribution of multiaxial thermal stresses is shown in Fig. 4 for the example tube. Fig. 4...