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Radial strain on disc given stresses Formula

GoRadial strain for rotating thin disc Formula

GoRadial strain for rotating thin disc given initial radial width of disc Formula

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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). Check FAQs

ε r = \frac{σ r - (𝛎 \cdot σ c)}{E}

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

Radial strain on disc given stresses Example

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

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

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

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

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

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

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Radial strain on disc given stresses Solution

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

FIRST Step Consider the formula

ε r = \frac{σ r - (𝛎 \cdot σ c)}{E}

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

ε r = \frac{100Pa - (0.3 \cdot 80Pa)}{8Pa}

Next Step Prepare to Evaluate

∴

ε r = \frac{100 - (0.3 \cdot 80)}{8}

LAST Step Evaluate

∴

ε r = 9.5

Radial strain on disc given stresses Formula Elements

Variables

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

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

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

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

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 Radial Strain

Go Radial strain for rotating thin disc

ε r = \frac{dr f - d r}{d r}

Go Radial strain for rotating thin disc given initial radial width of disc

ε r = \frac{Δr}{d r}

Other formulas in Radial Stress and Strain category

Go Radial stress for disc given circumferential strain on disc

σ r = \frac{σ c - (e 1 \cdot E)}{𝛎}

Go Radial stress given initial radial width of disc

σ r = ((\frac{Δr}{d r}) \cdot E) + (𝛎 \cdot σ c)

Go Radial stress given radial strain on disc

σ r = (ε r \cdot E) + (𝛎 \cdot σ c)

Go Radial stress given radius of disc

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

How to Evaluate Radial strain on disc given stresses?

Radial strain on disc given stresses evaluator uses Radial Strain = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus of Elasticity of Disc to evaluate the Radial Strain, Radial strain on disc given stresses formula is defined as a relationship that describes how the radial dimension of a rotating disc changes in response to applied stresses, accounting for material properties such as elasticity and Poisson's ratio. Radial Strain is denoted by ε_r symbol.

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

FAQs on Radial strain on disc given stresses

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

The formula of Radial strain on disc given stresses is expressed as Radial Strain = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus of Elasticity of Disc. Here is an example- 9.5 = (100-(0.3*80))/8.

How to calculate Radial strain on disc given stresses?

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

What are the other ways to Calculate Radial Strain?

Here are the different ways to Calculate Radial Strain-

Radial Strain=(Final Radial Width-Initial Radial Width)/Initial Radial Width
Radial Strain=Increase in Radial Width/Initial Radial Width

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: Unit

Radial strain on disc given stresses Formula

​GoRadial strain for rotating thin disc Formula

​GoRadial strain for rotating thin disc given initial radial width of disc Formula

Radial strain on disc given stresses Example

Radial strain on disc given stresses Solution

Radial strain on disc given stresses Formula Elements

Other Formulas to find Radial Strain

Other formulas in Radial Stress and Strain category

How to Evaluate Radial strain on disc given stresses?

FAQs on Radial strain on disc given stresses

Variable Name

GoRadial strain for rotating thin disc Formula

GoRadial strain for rotating thin disc given initial radial width of disc Formula