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Poisson's ratio given circumferential strain on disc Formula

GoPoisson's ratio given radial strain on disc Formula

GoPoisson's ratio given radius of disc 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 r}

𝛎 - Poisson's Ratio?σ_c - Circumferential Stress?e₁ - Circumferential Strain?E - Modulus Of Elasticity Of Disc?σ_r - Radial Stress?

Poisson's ratio given circumferential strain on disc Example

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

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

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

0.6 = \frac{80 - (2.5 \cdot 8)}{100}

0.6 = \frac{80N/m² - (2.5 \cdot 8N/m²)}{100N/m²}

0.6 = \frac{80 - (2.5 \cdot 8)}{100}

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Poisson's ratio given circumferential strain on disc Solution

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

FIRST Step Consider the formula

𝛎 = \frac{σ c - (e 1 \cdot E)}{σ r}

Next Step Substitute values of Variables

∴

𝛎 = \frac{80N/m² - (2.5 \cdot 8N/m²)}{100N/m²}

Next Step Convert Units

∴

𝛎 = \frac{80Pa - (2.5 \cdot 8Pa)}{100Pa}

Next Step Prepare to Evaluate

∴

𝛎 = \frac{80 - (2.5 \cdot 8)}{100}

LAST Step Evaluate

∴

𝛎 = 0.6

Poisson's ratio given circumferential strain on disc 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 should be between -1 to 10.

Formulas to find Poisson's Ratio

Circumferential Stress

Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.

Symbol: σ_c

Measurement: StressUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Circumferential Stress

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

Modulus Of Elasticity Of Disc

Modulus Of Elasticity Of Disc is a quantity that measures disc's resistance to being deformed elastically when a stress is applied to it.

Symbol: E

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Modulus Of Elasticity Of Disc

Radial Stress

Radial Stress induced by a bending moment in a member of constant cross section.

Symbol: σ_r

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Radial Stress

Other Formulas to find Poisson's Ratio

Go Poisson's ratio given radial strain on disc

𝛎 = \frac{σ r - (e r \cdot E)}{σ c}

Go Poisson's ratio given radius of disc

𝛎 = \frac{σ c - ((\frac{R i}{r disc}) \cdot E)}{σ r}

Go Poisson's ratio given initial radial width of disc

𝛎 = \frac{σ r - ((\frac{du}{dr}) \cdot E)}{σ c}

Other formulas in Relation of Parameters category

Go Hoop stress in thin cylinder

σ θ = ρ \cdot ω \cdot r disc

Go Density of cylinder material given hoop stress (for thin cylinder)

ρ = \frac{σ θ}{ω \cdot r disc}

Go Mean radius of cylinder given hoop stress in thin cylinder

r disc = \frac{σ θ}{ρ \cdot ω}

Go Angular speed of rotation for thin cylinder given hoop stress in thin cylinder

ω = \frac{σ θ}{ρ \cdot r disc}

How to Evaluate Poisson's ratio given circumferential strain on disc?

Poisson's ratio given circumferential strain on disc evaluator uses Poisson's Ratio = (Circumferential Stress-(Circumferential Strain*Modulus Of Elasticity Of Disc))/(Radial Stress) to evaluate the Poisson's Ratio, Poisson's ratio given circumferential strain on disc formula is defined as a measure of the relationship between circumferential stress and radial stress in a rotating disc, illustrating how materials deform in response to applied forces. Poisson's Ratio is denoted by 𝛎 symbol.

How to evaluate Poisson's ratio given circumferential strain on disc using this online evaluator? To use this online evaluator for Poisson's ratio given circumferential strain on disc, enter Circumferential Stress (σ_c), Circumferential Strain (e₁), Modulus Of Elasticity Of Disc (E) & Radial Stress (σ_r) and hit the calculate button.

FAQs on Poisson's ratio given circumferential strain on disc

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

The formula of Poisson's ratio given circumferential strain on disc is expressed as Poisson's Ratio = (Circumferential Stress-(Circumferential Strain*Modulus Of Elasticity Of Disc))/(Radial Stress). Here is an example- 0.6 = (80-(2.5*8))/(100).

How to calculate Poisson's ratio given circumferential strain on disc?

With Circumferential Stress (σ_c), Circumferential Strain (e₁), Modulus Of Elasticity Of Disc (E) & Radial Stress (σ_r) we can find Poisson's ratio given circumferential strain on disc using the formula - Poisson's Ratio = (Circumferential Stress-(Circumferential Strain*Modulus Of Elasticity Of Disc))/(Radial Stress).

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

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

Poisson's Ratio=(Radial Stress-(Radial Strain*Modulus of Elasticity of Disc))/(Circumferential Stress)
Poisson's Ratio=(Circumferential Stress-((Increase in Radius/Radius of Disc)*Modulus of Elasticity of Disc))/Radial Stress
Poisson's Ratio=(Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus of Elasticity of Disc))/(Circumferential Stress)

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Poisson's ratio given circumferential strain on disc Formula

​GoPoisson's ratio given radial strain on disc Formula

​GoPoisson's ratio given radius of disc Formula

Poisson's ratio given circumferential strain on disc Example

Poisson's ratio given circumferential strain on disc Solution

Poisson's ratio given circumferential strain on disc Formula Elements

Other Formulas to find Poisson's Ratio

Other formulas in Relation of Parameters category

How to Evaluate Poisson's ratio given circumferential strain on disc?

FAQs on Poisson's ratio given circumferential strain on disc

Variable Name

GoPoisson's ratio given radial strain on disc Formula

GoPoisson's ratio given radius of disc Formula