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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 a material property that describes the relationship between the lateral strain and the longitudinal strain. Check FAQs

𝛎 = \frac{σ r - (ε r \cdot E)}{σ c}

𝛎 - Poisson's Ratio?σ_r - Radial Stress?ε_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 - (ε 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 a material property that describes the relationship between the lateral strain and the longitudinal strain.

Symbol: 𝛎

Measurement: NAUnit: Unitless

Note: Value should be between -1 to 10.

Formulas to find Poisson's Ratio

Radial Stress

Radial stress refers to the stress that acts perpendicular to the longitudinal axis of a component, directed either towards or away from the central axis.

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 of original length in the radial direction (the direction from the center to the outer edge of an object).

Symbol: ε_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 refers to a material property that measures its ability to resist deformation under stress, specifically in response to stretching or compressing forces.

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 stress that acts along the circumference of a cylindrical or spherical object, the stress that develops when the object is subjected to internal or external pressure.

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{ΔR}{r disc}) \cdot E)}{σ r}

Go Poisson's ratio given initial radial width of disc

𝛎 = \frac{σ r - ((\frac{Δr}{d r}) \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 (ε_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 (ε_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