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Circumferential strain on disc given stresses Formula

GoCircumferential strain for rotating thin disc Formula

GoCircumferential strain for rotating thin disc given radius of disc Formula

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Circumferential strain represents the change in length. Check FAQs

e 1 = \frac{σ c - (𝛎 \cdot σ r)}{E}

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

Circumferential strain on disc given stresses Example

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Here is how the Circumferential strain on disc given stresses equation looks like with Values.

Here is how the Circumferential strain on disc given stresses equation looks like with Units.

Here is how the Circumferential strain on disc given stresses equation looks like.

6.25 = \frac{80 - (0.3 \cdot 100)}{8}

6.25 = \frac{80N/m² - (0.3 \cdot 100N/m²)}{8N/m²}

6.25 = \frac{80 - (0.3 \cdot 100)}{8}

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Circumferential strain on disc given stresses Solution

Follow our step by step solution on how to calculate Circumferential strain on disc given stresses?

FIRST Step Consider the formula

e 1 = \frac{σ c - (𝛎 \cdot σ r)}{E}

Next Step Substitute values of Variables

∴

e 1 = \frac{80N/m² - (0.3 \cdot 100N/m²)}{8N/m²}

Next Step Convert Units

∴

e 1 = \frac{80Pa - (0.3 \cdot 100Pa)}{8Pa}

Next Step Prepare to Evaluate

∴

e 1 = \frac{80 - (0.3 \cdot 100)}{8}

LAST Step Evaluate

∴

e 1 = 6.25

Circumferential strain on disc given stresses Formula Elements

Variables

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

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

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

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

Other Formulas to find Circumferential Strain

Go Circumferential strain for rotating thin disc

e 1 = \frac{C 2 - C initial}{C initial}

Go Circumferential strain for rotating thin disc given radius of disc

e 1 = \frac{R i}{r disc}

Go Circumferential stress given radius of disc

e 1 = ((\frac{R i}{r disc}) \cdot E) + (𝛎 \cdot σ r)

Other formulas in Circumferential Stress and Strain category

Go Circumferential stress given circumferential strain on disc

σ c = (e 1 \cdot E) + (𝛎 \cdot σ r)

Go Circumferential stress given initial radial width of disc

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

Go Circumferential stress given radial strain on disc

σ c = \frac{σ r - (e r \cdot E)}{𝛎}

How to Evaluate Circumferential strain on disc given stresses?

Circumferential strain on disc given stresses evaluator uses Circumferential Strain = (Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus Of Elasticity Of Disc to evaluate the Circumferential Strain, The Circumferential strain on disc given stresses formula represents the change in length or circumference of the disc. Circumferential Strain is denoted by e₁ symbol.

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

FAQs on Circumferential strain on disc given stresses

What is the formula to find Circumferential strain on disc given stresses?

The formula of Circumferential strain on disc given stresses is expressed as Circumferential Strain = (Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus Of Elasticity Of Disc. Here is an example- 6.25 = (80-(0.3*100))/8.

How to calculate Circumferential strain on disc given stresses?

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

What are the other ways to Calculate Circumferential Strain?

Here are the different ways to Calculate Circumferential Strain-

Circumferential Strain=(Final Circumference-Initial circumference)/Initial circumference
Circumferential Strain=Increase in radius/Disc Radius
Circumferential Strain=((Increase in radius/Disc Radius)*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Radial Stress)

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: Value
: Unit

Circumferential strain on disc given stresses Formula

​GoCircumferential strain for rotating thin disc Formula

​GoCircumferential strain for rotating thin disc given radius of disc Formula

Circumferential strain on disc given stresses Example

Circumferential strain on disc given stresses Solution

Circumferential strain on disc given stresses Formula Elements

Other Formulas to find Circumferential Strain

Other formulas in Circumferential Stress and Strain category

How to Evaluate Circumferential strain on disc given stresses?

FAQs on Circumferential strain on disc given stresses

Variable Name

GoCircumferential strain for rotating thin disc Formula

GoCircumferential strain for rotating thin disc given radius of disc Formula