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Circumferential stress given radius of disc 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{ΔR}{r disc}) \cdot E) + (𝛎 \cdot σ r)

e₁ - Circumferential Strain?ΔR - Increase in Radius?r_disc - Radius of Disc?E - Modulus of Elasticity of Disc?𝛎 - Poisson's Ratio?σ_r - Radial Stress?

Circumferential stress given radius of disc Example

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Here is how the Circumferential stress given radius of disc equation looks like with Values.

Here is how the Circumferential stress given radius of disc equation looks like with Units.

Here is how the Circumferential stress given radius of disc equation looks like.

30.052 = ((\frac{6.5}{1000}) \cdot 8) + (0.3 \cdot 100)

30.052 = ((\frac{6.5mm}{1000mm}) \cdot 8N/m²) + (0.3 \cdot 100N/m²)

30.052 = ((\frac{6.5}{1000}) \cdot 8) + (0.3 \cdot 100)

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Circumferential stress given radius of disc Solution

Follow our step by step solution on how to calculate Circumferential stress given radius of disc?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

e 1 = ((\frac{6.5mm}{1000mm}) \cdot 8N/m²) + (0.3 \cdot 100N/m²)

Next Step Convert Units

∴

e 1 = ((\frac{0.0065m}{1m}) \cdot 8Pa) + (0.3 \cdot 100Pa)

Next Step Prepare to Evaluate

∴

e 1 = ((\frac{0.0065}{1}) \cdot 8) + (0.3 \cdot 100)

LAST Step Evaluate

∴

e 1 = 30.052

Circumferential stress given radius of disc 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

Increase in Radius

Increase in radius refers to the change or growth in the radius of a circular object (such as a disc, cylinder, or sphere) due to external or internal factors.

Symbol: ΔR

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Increase in Radius

Radius of Disc

Radius of disc is the distance from the center of the disc to any point on its edge (circumference).

Symbol: r_disc

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Disc

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

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

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 strain on disc given stresses

e 1 = \frac{σ c - (𝛎 \cdot σ r)}{E}

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 stress given radius of disc?

Circumferential stress given radius of disc evaluator uses Circumferential Strain = ((Increase in Radius/Radius of Disc)*Modulus of Elasticity of Disc)+(Poisson's Ratio*Radial Stress) to evaluate the Circumferential Strain, Circumferential stress given radius of disc formula is defined as a measure of the stress experienced by a rotating disc due to its geometry and material properties, which influences its structural integrity and performance under rotational forces. Circumferential Strain is denoted by e₁ symbol.

How to evaluate Circumferential stress given radius of disc using this online evaluator? To use this online evaluator for Circumferential stress given radius of disc, enter Increase in Radius (ΔR), Radius of Disc (r_disc), Modulus of Elasticity of Disc (E), Poisson's Ratio (𝛎) & Radial Stress (σ_r) and hit the calculate button.

FAQs on Circumferential stress given radius of disc

What is the formula to find Circumferential stress given radius of disc?

The formula of Circumferential stress given radius of disc is expressed as Circumferential Strain = ((Increase in Radius/Radius of Disc)*Modulus of Elasticity of Disc)+(Poisson's Ratio*Radial Stress). Here is an example- 30.052 = ((0.0065/1)*8)+(0.3*100).

How to calculate Circumferential stress given radius of disc?

With Increase in Radius (ΔR), Radius of Disc (r_disc), Modulus of Elasticity of Disc (E), Poisson's Ratio (𝛎) & Radial Stress (σ_r) we can find Circumferential stress given radius of disc using the formula - Circumferential Strain = ((Increase in Radius/Radius of Disc)*Modulus of Elasticity of Disc)+(Poisson's Ratio*Radial Stress).

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=(Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus of Elasticity of Disc

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Circumferential stress given radius of disc Formula

​GoCircumferential strain for rotating thin disc Formula

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

Circumferential stress given radius of disc Example

Circumferential stress given radius of disc Solution

Circumferential stress given radius of disc Formula Elements

Other Formulas to find Circumferential Strain

Other formulas in Circumferential Stress and Strain category

How to Evaluate Circumferential stress given radius of disc?

FAQs on Circumferential stress given radius of disc

Variable Name

GoCircumferential strain for rotating thin disc Formula

GoCircumferential strain for rotating thin disc given radius of disc Formula