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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 refers to the deformation or change in the dimensions of an object in the circumferential direction (around the circumference) when it is subjected to stress or force. 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 refers to the deformation or change in the dimensions of an object in the circumferential direction (around the circumference) when it is subjected to stress or force.

Symbol: e₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Circumferential Strain

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

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

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

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{ΔR}{r disc}

Go Circumferential stress given radius of disc

e 1 = ((\frac{ΔR}{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{Δr}{d r}) \cdot E)}{𝛎}

Go Circumferential stress given radial strain on disc

σ c = \frac{σ r - (ε 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, Circumferential strain on disc given stresses formula is defined as a measure of the deformation experienced by a rotating disc under applied stresses, reflecting the relationship between circumferential stress, radial stress, and material elasticity. 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/Radius of Disc
Circumferential Strain=((Increase in Radius/Radius of Disc)*Modulus of Elasticity of Disc)+(Poisson's Ratio*Radial Stress)

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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

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