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Poisson's ratio given radial strain on disc Formula

GoPoisson's ratio given circumferential 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 r - (e r \cdot E)}{σ c}

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

Poisson's ratio given radial strain on disc Example

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

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

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

0.85 = \frac{100 - (4 \cdot 8)}{80}

0.85 = \frac{100N/m² - (4 \cdot 8N/m²)}{80N/m²}

0.85 = \frac{100 - (4 \cdot 8)}{80}

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Poisson's ratio given radial strain on disc Solution

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

FIRST Step Consider the formula

𝛎 = \frac{σ r - (e r \cdot E)}{σ c}

Next Step Substitute values of Variables

∴

𝛎 = \frac{100N/m² - (4 \cdot 8N/m²)}{80N/m²}

Next Step Convert Units

∴

𝛎 = \frac{100Pa - (4 \cdot 8Pa)}{80Pa}

Next Step Prepare to Evaluate

∴

𝛎 = \frac{100 - (4 \cdot 8)}{80}

LAST Step Evaluate

∴

𝛎 = 0.85

Poisson's ratio given radial 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

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

Radial strain

Radial strain is the change in length per unit length in a direction radially outward from the charge.

Symbol: e_r

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Radial 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

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

Other Formulas to find Poisson's Ratio

Go Poisson's ratio given circumferential strain on disc

𝛎 = \frac{σ c - (e 1 \cdot E)}{σ r}

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 radial strain on disc?

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

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

FAQs on Poisson's ratio given radial strain on disc

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

The formula of Poisson's ratio given radial strain on disc is expressed as Poisson's Ratio = (Radial Stress-(Radial strain*Modulus Of Elasticity Of Disc))/(Circumferential Stress). Here is an example- 0.85 = (100-(4*8))/(80).

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

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

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

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

Poisson's Ratio=(Circumferential Stress-(Circumferential Strain*Modulus of Elasticity of Disc))/(Radial 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 radial strain on disc Formula

​GoPoisson's ratio given circumferential strain on disc Formula

​GoPoisson's ratio given radius of disc Formula

Poisson's ratio given radial strain on disc Example

Poisson's ratio given radial strain on disc Solution

Poisson's ratio given radial 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 radial strain on disc?

FAQs on Poisson's ratio given radial strain on disc

Variable Name

GoPoisson's ratio given circumferential strain on disc Formula

GoPoisson's ratio given radius of disc Formula