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Poisson's ratio given circumferential strain Formula

GoPoisson's ratio for thin cylindrical vessel given change in diameter Formula

GoPoisson's ratio given change in length of cylindrical shell Formula

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Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5. Check FAQs

𝛎 = (\frac{1}{2}) - (\frac{e 1 \cdot (2 \cdot t \cdot E)}{P i \cdot D i})

𝛎 - Poisson's Ratio?e₁ - Circumferential strain Thin Shell?t - Thickness of Thin Shell?E - Modulus of Elasticity Of Thin Shell?P_i - Internal Pressure in thin shell?D_i - Inner Diameter of Cylinder?

Poisson's ratio given circumferential strain Example

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Here is how the Poisson's ratio given circumferential strain equation looks like with Values.

Here is how the Poisson's ratio given circumferential strain equation looks like with Units.

Here is how the Poisson's ratio given circumferential strain equation looks like.

0.3509 = (\frac{1}{2}) - (\frac{2.5 \cdot (2 \cdot 3.8 \cdot 10)}{14 \cdot 91})

0.3509 = (\frac{1}{2}) - (\frac{2.5 \cdot (2 \cdot 3.8mm \cdot 10MPa)}{14MPa \cdot 91mm})

0.3509 = (\frac{1}{2}) - (\frac{2.5 \cdot (2 \cdot 3.8 \cdot 10)}{14 \cdot 91})

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Poisson's ratio given circumferential strain Solution

Follow our step by step solution on how to calculate Poisson's ratio given circumferential strain?

FIRST Step Consider the formula

𝛎 = (\frac{1}{2}) - (\frac{e 1 \cdot (2 \cdot t \cdot E)}{P i \cdot D i})

Next Step Substitute values of Variables

∴

𝛎 = (\frac{1}{2}) - (\frac{2.5 \cdot (2 \cdot 3.8mm \cdot 10MPa)}{14MPa \cdot 91mm})

Next Step Convert Units

∴

𝛎 = (\frac{1}{2}) - (\frac{2.5 \cdot (2 \cdot 0.0038m \cdot 1E+7Pa)}{1.4E+7Pa \cdot 0.091m})

Next Step Prepare to Evaluate

∴

𝛎 = (\frac{1}{2}) - (\frac{2.5 \cdot (2 \cdot 0.0038 \cdot 1E+7)}{1.4E+7 \cdot 0.091})

Next Step Evaluate

∴

𝛎 = 0.350863422291994

LAST Step Rounding Answer

∴

𝛎 = 0.3509

Poisson's ratio given circumferential strain Formula Elements

Variables

Poisson's Ratio

Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.

Symbol: 𝛎

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Poisson's Ratio

Circumferential strain Thin Shell

Circumferential strain Thin Shell represents the change in length.

Symbol: e₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Circumferential strain Thin Shell

Thickness of Thin Shell

Thickness of Thin Shell is the distance through an object.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Thin Shell

Modulus of Elasticity Of Thin Shell

Modulus of Elasticity Of Thin Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.

Symbol: E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity Of Thin Shell

Internal Pressure in thin shell

Internal Pressure in thin shell is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.

Symbol: P_i

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Internal Pressure in thin shell

Inner Diameter of Cylinder

Inner Diameter of Cylinder is the diameter of the inside of the cylinder.

Symbol: D_i

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Inner Diameter of Cylinder

Other Formulas to find Poisson's Ratio

Go Poisson's ratio for thin cylindrical vessel given change in diameter

𝛎 = 2 \cdot (1 - \frac{∆d \cdot (2 \cdot t \cdot E)}{((P i \cdot ({D i}^{2})))})

Go Poisson's ratio given change in length of cylindrical shell

𝛎 = (\frac{1}{2}) - (\frac{ΔL \cdot (2 \cdot t \cdot E)}{(P i \cdot D \cdot L cylinder)})

Go Poisson's ratio given circumferential strain and hoop stress

𝛎 = \frac{σ θ - (e 1 \cdot E)}{σ l}

Go Poisson's ratio given longitudinal strain and internal fluid pressure in vessel

𝛎 = (\frac{1}{2}) - (\frac{ε longitudinal \cdot 2 \cdot t \cdot E}{(P i \cdot D i)})

How to Evaluate Poisson's ratio given circumferential strain?

Poisson's ratio given circumferential strain evaluator uses Poisson's Ratio = (1/2)-((Circumferential strain Thin Shell*(2*Thickness of Thin Shell*Modulus of Elasticity Of Thin Shell))/(Internal Pressure in thin shell*Inner Diameter of Cylinder)) to evaluate the Poisson's Ratio, The Poisson's ratio given circumferential strain formula is defined as a measure of the Poisson effect, the phenomenon in which a material tends to expand in directions perpendicular to the direction of compression. Poisson's Ratio is denoted by 𝛎 symbol.

How to evaluate Poisson's ratio given circumferential strain using this online evaluator? To use this online evaluator for Poisson's ratio given circumferential strain, enter Circumferential strain Thin Shell (e₁), Thickness of Thin Shell (t), Modulus of Elasticity Of Thin Shell (E), Internal Pressure in thin shell (P_i) & Inner Diameter of Cylinder (D_i) and hit the calculate button.

FAQs on Poisson's ratio given circumferential strain

What is the formula to find Poisson's ratio given circumferential strain?

The formula of Poisson's ratio given circumferential strain is expressed as Poisson's Ratio = (1/2)-((Circumferential strain Thin Shell*(2*Thickness of Thin Shell*Modulus of Elasticity Of Thin Shell))/(Internal Pressure in thin shell*Inner Diameter of Cylinder)). Here is an example- 0.350863 = (1/2)-((2.5*(2*0.0038*10000000))/(14000000*0.091)).

How to calculate Poisson's ratio given circumferential strain?

With Circumferential strain Thin Shell (e₁), Thickness of Thin Shell (t), Modulus of Elasticity Of Thin Shell (E), Internal Pressure in thin shell (P_i) & Inner Diameter of Cylinder (D_i) we can find Poisson's ratio given circumferential strain using the formula - Poisson's Ratio = (1/2)-((Circumferential strain Thin Shell*(2*Thickness of Thin Shell*Modulus of Elasticity Of Thin Shell))/(Internal Pressure in thin shell*Inner Diameter of Cylinder)).

What are the other ways to Calculate Poisson's Ratio?

Here are the different ways to Calculate Poisson's Ratio-

Poisson's Ratio=2*(1-(Change in Diameter*(2*Thickness of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell*(Inner Diameter of Cylinder^2)))))
Poisson's Ratio=(1/2)-((Change in Length*(2*Thickness of Thin Shell*Modulus of Elasticity Of Thin Shell))/((Internal Pressure in thin shell*Diameter of Shell*Length Of Cylindrical Shell)))
Poisson's Ratio=(Hoop Stress in Thin shell-(Circumferential strain Thin Shell*Modulus of Elasticity Of Thin Shell))/Longitudinal Stress Thick Shell

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: Value
: Unit

Poisson's ratio given circumferential strain Formula

​GoPoisson's ratio for thin cylindrical vessel given change in diameter Formula

​GoPoisson's ratio given change in length of cylindrical shell Formula

Poisson's ratio given circumferential strain Example

Poisson's ratio given circumferential strain Solution

Poisson's ratio given circumferential strain Formula Elements

Other Formulas to find Poisson's Ratio

How to Evaluate Poisson's ratio given circumferential strain?

FAQs on Poisson's ratio given circumferential strain

Variable Name

GoPoisson's ratio for thin cylindrical vessel given change in diameter Formula

GoPoisson's ratio given change in length of cylindrical shell Formula