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Poisson's ratio of a material defines the ratio of transverse strain (x direction) to the axial strain (y direction)In materials science and solid mechanics, Poisson's ratio (symbol: ν ()) is a measure of the Poisson effect, the deformation (expansion or contraction) of a material in directions perpendicular to the specific direction of loading.
2 Poisson's ratio. 3 Bulk modulus. 4 Shear modulus. 5 References. 6 See also. Toggle the table of contents. Elastic properties of the elements (data page) 1 language.
In probability theory and statistics, the Poisson distribution (/ ˈ p w ɑː s ɒ n /; French pronunciation:) is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time if these events occur with a known constant mean rate and independently of the time since the last event. [1]
= Poisson's Ratio. Flexural rigidity of a plate has units of Pa·m 3, i.e. one dimension of length less than the same property for the rod, as it refers to the moment per unit length per unit of curvature, and not the total moment. I is termed as moment of inertia. J is denoted as 2nd moment of inertia/polar moment of inertia.
A36 steel has a Poisson's ratio of 0.26 and a shear modulus of 11,500 ksi (79.3 GPa). [7] A36 steel in plates, bars, and shapes with a thickness of less than 8 inches (203 millimeters) has a minimum yield strength of 36 ksi (250 MPa) and ultimate tensile strength of 58–80 ksi (400–550 MPa).
Density Young's Modulus Shear Modulus Bulk Modulus Poisson's Ratio Tensile Yield Stress Tensile Ultimate Stress Hardness Uniform Elongation Min: 4.429 g/cm 3 (0.160 lb/cu in): 104 GPa (15.1 × 10 ^ 6 psi)
Poisson's ratio (ν) 0.37: Hardness—Rockwell: M70: Izod impact strength: 600–850 J/m: Notch test: 20–35 kJ/m 2: Abrasive resistance ASTM D1044: 10–15 m g/1000 cycles: Coefficient of friction (μ) 0.31: Speed of sound: 2270 m/s: Thermal properties; Glass transition temperature (T g) 147 °C (297 °F) Heat deflection temperature
A Poisson regression model is sometimes known as a log-linear model, especially when used to model contingency tables. Negative binomial regression is a popular generalization of Poisson regression because it loosens the highly restrictive assumption that the variance is equal to the mean made by the Poisson model. The traditional negative ...