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Circumferential stress given circumferential strain on disc Formula

GoCircumferential stress given initial radial width of disc Formula

GoCircumferential stress given radial strain on disc Formula

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Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius. Check FAQs

σ c = (e 1 \cdot E) + (𝛎 \cdot σ r)

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

Circumferential stress given circumferential strain on disc Example

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

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

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

50 = (2.5 \cdot 8) + (0.3 \cdot 100)

50N/m² = (2.5 \cdot 8N/m²) + (0.3 \cdot 100N/m²)

50 = (2.5 \cdot 8) + (0.3 \cdot 100)

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Circumferential stress given circumferential strain on disc Solution

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

FIRST Step Consider the formula

σ c = (e 1 \cdot E) + (𝛎 \cdot σ r)

Next Step Substitute values of Variables

∴

σ c = (2.5 \cdot 8N/m²) + (0.3 \cdot 100N/m²)

Next Step Convert Units

∴

σ c = (2.5 \cdot 8Pa) + (0.3 \cdot 100Pa)

Next Step Prepare to Evaluate

∴

σ c = (2.5 \cdot 8) + (0.3 \cdot 100)

Next Step Evaluate

∴

σ c = 50Pa

LAST Step Convert to Output's Unit

∴

σ c = 50N/m²

Circumferential stress given circumferential strain on disc Formula Elements

Variables

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

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

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

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

Other Formulas to find Circumferential Stress

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}

Other formulas in Circumferential Stress and Strain category

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 strain on disc given stresses

e 1 = \frac{σ c - (𝛎 \cdot σ r)}{E}

Go Circumferential stress given radius of disc

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

How to Evaluate Circumferential stress given circumferential strain on disc?

Circumferential stress given circumferential strain on disc evaluator uses Circumferential Stress = (Circumferential Strain*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Radial Stress) to evaluate the Circumferential Stress, Circumferential stress given circumferential strain on disc formula is defined as a relationship that describes how circumferential stress in a rotating disc is influenced by circumferential strain and material properties, ensuring structural integrity under rotational forces. Circumferential Stress is denoted by σ_c symbol.

How to evaluate Circumferential stress given circumferential strain on disc using this online evaluator? To use this online evaluator for Circumferential stress given circumferential strain on disc, enter Circumferential Strain (e₁), Modulus Of Elasticity Of Disc (E), Poisson's Ratio (𝛎) & Radial Stress (σ_r) and hit the calculate button.

FAQs on Circumferential stress given circumferential strain on disc

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

The formula of Circumferential stress given circumferential strain on disc is expressed as Circumferential Stress = (Circumferential Strain*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Radial Stress). Here is an example- 50 = (2.5*8)+(0.3*100).

How to calculate Circumferential stress given circumferential strain on disc?

With Circumferential Strain (e₁), Modulus Of Elasticity Of Disc (E), Poisson's Ratio (𝛎) & Radial Stress (σ_r) we can find Circumferential stress given circumferential strain on disc using the formula - Circumferential Stress = (Circumferential Strain*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Radial Stress).

What are the other ways to Calculate Circumferential Stress?

Here are the different ways to Calculate Circumferential Stress-

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

Can the Circumferential stress given circumferential strain on disc be negative?

No, the Circumferential stress given circumferential strain on disc, measured in Stress cannot be negative.

Which unit is used to measure Circumferential stress given circumferential strain on disc?

Circumferential stress given circumferential strain on disc is usually measured using the Newton per Square Meter[N/m²] for Stress. Pascal[N/m²], Newton per Square Millimeter[N/m²], Kilonewton per Square Meter[N/m²] are the few other units in which Circumferential stress given circumferential strain on disc can be measured.

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Circumferential stress given circumferential strain on disc Formula

​GoCircumferential stress given initial radial width of disc Formula

​GoCircumferential stress given radial strain on disc Formula

Circumferential stress given circumferential strain on disc Example

Circumferential stress given circumferential strain on disc Solution

Circumferential stress given circumferential strain on disc Formula Elements

Other Formulas to find Circumferential Stress

Other formulas in Circumferential Stress and Strain category

How to Evaluate Circumferential stress given circumferential strain on disc?

FAQs on Circumferential stress given circumferential strain on disc

Variable Name

GoCircumferential stress given initial radial width of disc Formula

GoCircumferential stress given radial strain on disc Formula