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Circumferential stress given initial radial width of disc Formula

GoCircumferential stress given circumferential strain on 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 = \frac{σ r - ((\frac{du}{dr}) \cdot E)}{𝛎}

σ_c - Circumferential Stress?σ_r - Radial Stress?du - Increase in Radial Width?dr - Initial Radial Width?E - Modulus Of Elasticity Of Disc?𝛎 - Poisson's Ratio?

Circumferential stress given initial radial width of disc Example

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Here is how the Circumferential stress given initial radial width of disc equation looks like with Values.

Here is how the Circumferential stress given initial radial width of disc equation looks like with Units.

Here is how the Circumferential stress given initial radial width of disc equation looks like.

303.1111 = \frac{100 - ((\frac{3.4}{3}) \cdot 8)}{0.3}

303.1111N/m² = \frac{100N/m² - ((\frac{3.4mm}{3mm}) \cdot 8N/m²)}{0.3}

303.1111 = \frac{100 - ((\frac{3.4}{3}) \cdot 8)}{0.3}

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Circumferential stress given initial radial width of disc Solution

Follow our step by step solution on how to calculate Circumferential stress given initial radial width of disc?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ c = \frac{100N/m² - ((\frac{3.4mm}{3mm}) \cdot 8N/m²)}{0.3}

Next Step Convert Units

∴

σ c = \frac{100Pa - ((\frac{0.0034m}{0.003m}) \cdot 8Pa)}{0.3}

Next Step Prepare to Evaluate

∴

σ c = \frac{100 - ((\frac{0.0034}{0.003}) \cdot 8)}{0.3}

Next Step Evaluate

∴

σ c = 303.111111111111Pa

Next Step Convert to Output's Unit

∴

σ c = 303.111111111111N/m²

LAST Step Rounding Answer

∴

σ c = 303.1111N/m²

Circumferential stress given initial radial width of 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

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

Increase in Radial Width

Increase in Radial Width is the increase in radial width due to strain.

Symbol: du

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Increase in Radial Width

Initial Radial Width

Initial Radial Width is the radial width without any strain.

Symbol: dr

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Initial Radial Width

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

Other Formulas to find Circumferential Stress

Go Circumferential stress given circumferential strain on disc

σ c = (e 1 \cdot E) + (𝛎 \cdot σ r)

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 initial radial width of disc?

Circumferential stress given initial radial width of disc evaluator uses Circumferential Stress = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus Of Elasticity Of Disc))/(Poisson's Ratio) to evaluate the Circumferential Stress, The Circumferential stress given initial radial width of disc formula is defined as the force that is responsible for the deformation of the material such that the volume of the material reduces. Circumferential Stress is denoted by σ_c symbol.

How to evaluate Circumferential stress given initial radial width of disc using this online evaluator? To use this online evaluator for Circumferential stress given initial radial width of disc, enter Radial Stress (σ_r), Increase in Radial Width (du), Initial Radial Width (dr), Modulus Of Elasticity Of Disc (E) & Poisson's Ratio (𝛎) and hit the calculate button.

FAQs on Circumferential stress given initial radial width of disc

What is the formula to find Circumferential stress given initial radial width of disc?

The formula of Circumferential stress given initial radial width of disc is expressed as Circumferential Stress = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus Of Elasticity Of Disc))/(Poisson's Ratio). Here is an example- 303.1111 = (100-((0.0034/0.003)*8))/(0.3).

How to calculate Circumferential stress given initial radial width of disc?

With Radial Stress (σ_r), Increase in Radial Width (du), Initial Radial Width (dr), Modulus Of Elasticity Of Disc (E) & Poisson's Ratio (𝛎) we can find Circumferential stress given initial radial width of disc using the formula - Circumferential Stress = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus Of Elasticity Of Disc))/(Poisson's Ratio).

What are the other ways to Calculate Circumferential Stress?

Here are the different ways to Calculate Circumferential Stress-

Circumferential Stress=(Circumferential Strain*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Radial Stress)
Circumferential Stress=(Radial Stress-(Radial strain*Modulus Of Elasticity Of Disc))/(Poisson's Ratio)

Can the Circumferential stress given initial radial width of disc be negative?

No, the Circumferential stress given initial radial width of disc, measured in Stress cannot be negative.

Which unit is used to measure Circumferential stress given initial radial width of disc?

Circumferential stress given initial radial width of 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 initial radial width of disc can be measured.

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Circumferential stress given initial radial width of disc Formula

​GoCircumferential stress given circumferential strain on disc Formula

​GoCircumferential stress given radial strain on disc Formula

Circumferential stress given initial radial width of disc Example

Circumferential stress given initial radial width of disc Solution

Circumferential stress given initial radial width of disc Formula Elements

Other Formulas to find Circumferential Stress

Other formulas in Circumferential Stress and Strain category

How to Evaluate Circumferential stress given initial radial width of disc?

FAQs on Circumferential stress given initial radial width of disc

Variable Name

GoCircumferential stress given circumferential strain on disc Formula

GoCircumferential stress given radial strain on disc Formula