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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 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
... the main 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...
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 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
... extruded tube 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...
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
... thickness wide. A similar phenomenon occurs in cross-ply laminates (i.e. [0/90] s ). In this case, it is the mismatch in Poisson's ratios between plies, rather than shear coupling, that leads to transverse extensional stresses (σ y ) that cannot exist at the free edge. For this case, shear...
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.a0003378
EISBN: 978-1-62708-195-5
... = E L * ν 12 = ν L * E 2 = E 3 = E T *   ν 23 = ν T * G 12 = G L * G 23 = G T * where E represents Young's modulus of elasticity, ν is Poisson's ratio...
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
..., and Poisson's ratio for a 0°, 45°, and 90° laminate family. The carpet plot is for a given design temperature and for a certain design strength criterion, such as B -basis for the ultimate properties. The carpet plots assume that the laminate is linear to failure (that is, no material nonlinearities, no ply...
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
... and for discontinuities in the material. 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...
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
... modulus in the plane transverse to the fibers, as well as various Poisson's ratios. This can be done in terms of simple analytical expressions. Elastic properties of homogeneous materials are defined by relations between homogeneous (constant) stress and strain. Because of the various symmetries...
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
... . Any change in the lattice spacing, d , results in a corresponding shift in the diffraction angle 2θ. Figure 1(a) shows the sample in the ψ = 0 orientation. The presence of a tensile stress in the sample results in a Poisson's ratio contraction, reducing the lattice spacing and slightly...
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: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006632
EISBN: 978-1-62708-213-6
... and diffracted beam bisector, which is also the angle between the normal to the diffracting lattice planes and the sample surface. Fig. 1 Principles of x-ray diffraction residual-stress measurement. D, x-ray detector; S, x-ray source; N , normal to the surface. (a) Ψ = 0: Poisson’s ratio contraction...
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
... modulus ( E ) Bulk modulus ( K ) Shear modulus ( G ) Poisson's ratio, ν GPa 10 6 psi GPa 10 6 psi GPa 10 6 psi Aluminum 70 10.2 75 10.9 26 3.80 0.345 Brass, 30 Zn 101 14.6 112 16.2 37 5.41 0.350 Chromium 279 40.5 160 23.2 115 16.7 0.210 Copper 130 18.8...
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
... micromolar μs microsecond ν Poisson's ratio; frequency π pi (3.141592) ρ density σ scattering cross section; stress ψ angle between the normal to the diffracting lattice planes and the sample surface Greek Alphabet Α, α alpha Β, β beta...
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...
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 Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003514
EISBN: 978-1-62708-180-1
... be assumed with regard to its distribution Rayleigh Rayleigh Special case of Weibull (shape parameter = 2) Applications: distribution of peaks in a random vibration that is narrow band, stationary, and Gaussian Poisson Poisson Discrete random variable One parameter Bounded...