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Poisson's ratio given circumferential strain in cylinder 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{σ c - (e 1 \cdot E)}{σ l}

𝛎 - Poisson's Ratio?σ_c - Circumferential Stress due to Fluid Pressure?e₁ - Circumferential Strain?E - Young's Modulus Cylinder?σ_l - Longitudinal Stress?

Poisson's ratio given circumferential strain in cylinder Example

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

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

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

-266.6444 = \frac{0.002 - (2.5 \cdot 9.6)}{0.09}

-266.6444 = \frac{0.002MPa - (2.5 \cdot 9.6MPa)}{0.09MPa}

-266.6444 = \frac{0.002 - (2.5 \cdot 9.6)}{0.09}

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Poisson's ratio given circumferential strain in cylinder Solution

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

FIRST Step Consider the formula

𝛎 = \frac{σ c - (e 1 \cdot E)}{σ l}

Next Step Substitute values of Variables

∴

𝛎 = \frac{0.002MPa - (2.5 \cdot 9.6MPa)}{0.09MPa}

Next Step Convert Units

∴

𝛎 = \frac{2000Pa - (2.5 \cdot 9.6E+6Pa)}{90000Pa}

Next Step Prepare to Evaluate

∴

𝛎 = \frac{2000 - (2.5 \cdot 9.6E+6)}{90000}

Next Step Evaluate

∴

𝛎 = -266.644444444444

LAST Step Rounding Answer

∴

𝛎 = -266.6444

Poisson's ratio given circumferential strain in cylinder 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 Stress due to Fluid Pressure

Circumferential stress due to fluid pressure is a kind of tensile stress exerted on cylinder due to fluid pressure.

Symbol: σ_c

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Circumferential Stress due to Fluid Pressure

Circumferential Strain

Circumferential strain represents the change in length.

Symbol: e₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Circumferential Strain

Young's Modulus Cylinder

Young's Modulus Cylinder is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Young's Modulus Cylinder

Longitudinal Stress

Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.

Symbol: σ_l

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Longitudinal Stress

Other formulas in Wire Parameters category

Go Length of cylinder given initial compressive force in cylinder for length L

L cylinder = \frac{F compressive}{2 \cdot t \cdot F circumference}

Go Thickness of cylinder given initial compressive force in cylinder for length 'L'

t = \frac{F compressive}{2 \cdot L cylinder \cdot F circumference}

Go Number of turns in wire for length 'L' given initial tensile force in wire

N = \frac{F}{(((\frac{π}{2}) \cdot ({G wire}^{2}))) \cdot σ w}

Go Number of turns of wire in length 'L'

N = \frac{L}{G wire}

How to Evaluate Poisson's ratio given circumferential strain in cylinder?

Poisson's ratio given circumferential strain in cylinder evaluator uses Poisson's Ratio = (Circumferential Stress due to Fluid Pressure-(Circumferential Strain*Young's Modulus Cylinder))/(Longitudinal Stress) to evaluate the Poisson's Ratio, Poisson's ratio given circumferential strain in cylinder is the deformation in the material in a direction perpendicular to the direction of the applied force. Poisson's Ratio is denoted by 𝛎 symbol.

How to evaluate Poisson's ratio given circumferential strain in cylinder using this online evaluator? To use this online evaluator for Poisson's ratio given circumferential strain in cylinder, enter Circumferential Stress due to Fluid Pressure (σ_c), Circumferential Strain (e₁), Young's Modulus Cylinder (E) & Longitudinal Stress (σ_l) and hit the calculate button.

FAQs on Poisson's ratio given circumferential strain in cylinder

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

The formula of Poisson's ratio given circumferential strain in cylinder is expressed as Poisson's Ratio = (Circumferential Stress due to Fluid Pressure-(Circumferential Strain*Young's Modulus Cylinder))/(Longitudinal Stress). Here is an example- -266.644444 = (2000-(2.5*9600000))/(90000).

How to calculate Poisson's ratio given circumferential strain in cylinder?

With Circumferential Stress due to Fluid Pressure (σ_c), Circumferential Strain (e₁), Young's Modulus Cylinder (E) & Longitudinal Stress (σ_l) we can find Poisson's ratio given circumferential strain in cylinder using the formula - Poisson's Ratio = (Circumferential Stress due to Fluid Pressure-(Circumferential Strain*Young's Modulus Cylinder))/(Longitudinal Stress).

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Poisson's ratio given circumferential strain in cylinder Formula

Poisson's ratio given circumferential strain in cylinder Example

Poisson's ratio given circumferential strain in cylinder Solution

Poisson's ratio given circumferential strain in cylinder Formula Elements

Other formulas in Wire Parameters category

How to Evaluate Poisson's ratio given circumferential strain in cylinder?

FAQs on Poisson's ratio given circumferential strain in cylinder

Variable Name