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Modulus of elasticity given radial strain on disc Formula

GoModulus of elasticity given circumferential strain on disc Formula

GoModulus of elasticity given radius of disc Formula

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

E = \frac{σ r - (𝛎 \cdot σ c)}{e r}

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

Modulus of elasticity given radial strain on disc Example

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Here is how the Modulus of elasticity given radial strain on disc equation looks like with Values.

Here is how the Modulus of elasticity given radial strain on disc equation looks like with Units.

Here is how the Modulus of elasticity given radial strain on disc equation looks like.

19 = \frac{100 - (0.3 \cdot 80)}{4}

19N/m² = \frac{100N/m² - (0.3 \cdot 80N/m²)}{4}

19 = \frac{100 - (0.3 \cdot 80)}{4}

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Modulus of elasticity given radial strain on disc Solution

Follow our step by step solution on how to calculate Modulus of elasticity given radial strain on disc?

FIRST Step Consider the formula

E = \frac{σ r - (𝛎 \cdot σ c)}{e r}

Next Step Substitute values of Variables

∴

E = \frac{100N/m² - (0.3 \cdot 80N/m²)}{4}

Next Step Convert Units

∴

E = \frac{100Pa - (0.3 \cdot 80Pa)}{4}

Next Step Prepare to Evaluate

∴

E = \frac{100 - (0.3 \cdot 80)}{4}

Next Step Evaluate

∴

E = 19Pa

LAST Step Convert to Output's Unit

∴

E = 19N/m²

Modulus of elasticity given radial strain on disc Formula Elements

Variables

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

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

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

Other Formulas to find Modulus Of Elasticity Of Disc

Go Modulus of elasticity given circumferential strain on disc

E = \frac{σ c - (𝛎 \cdot σ r)}{e 1}

Go Modulus of elasticity given radius of disc

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

Go Modulus of elasticity given initial radial width of disc

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

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 Modulus of elasticity given radial strain on disc?

Modulus of elasticity given radial strain on disc evaluator uses Modulus of Elasticity of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Radial strain to evaluate the Modulus Of Elasticity Of Disc, Modulus of elasticity given radial strain on disc formula is defined as a relationship that describes how a rotating disc deforms under radial stress, reflecting the material's ability to resist deformation when subjected to external forces. Modulus Of Elasticity Of Disc is denoted by E symbol.

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

FAQs on Modulus of elasticity given radial strain on disc

What is the formula to find Modulus of elasticity given radial strain on disc?

The formula of Modulus of elasticity given radial strain on disc is expressed as Modulus of Elasticity of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Radial strain. Here is an example- 19 = (100-(0.3*80))/4.

How to calculate Modulus of elasticity given radial strain on disc?

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

What are the other ways to Calculate Modulus Of Elasticity Of Disc?

Here are the different ways to Calculate Modulus Of Elasticity Of Disc-

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

Can the Modulus of elasticity given radial strain on disc be negative?

No, the Modulus of elasticity given radial strain on disc, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of elasticity given radial strain on disc?

Modulus of elasticity given radial strain on disc is usually measured using the Newton per Square Meter[N/m²] for Pressure. Pascal[N/m²], Kilopascal[N/m²], Bar[N/m²] are the few other units in which Modulus of elasticity given radial strain on disc can be measured.

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Modulus of elasticity given radial strain on disc Formula

​GoModulus of elasticity given circumferential strain on disc Formula

​GoModulus of elasticity given radius of disc Formula

Modulus of elasticity given radial strain on disc Example

Modulus of elasticity given radial strain on disc Solution

Modulus of elasticity given radial strain on disc Formula Elements

Other Formulas to find Modulus Of Elasticity Of Disc

Other formulas in Relation of Parameters category

How to Evaluate Modulus of elasticity given radial strain on disc?

FAQs on Modulus of elasticity given radial strain on disc

Variable Name

GoModulus of elasticity given circumferential strain on disc Formula

GoModulus of elasticity given radius of disc Formula