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Radial stress for disc given circumferential strain on disc Formula

GoRadial stress given initial radial width of disc Formula

GoRadial stress given radial strain on disc Formula

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Radial Stress induced by a bending moment in a member of constant cross section. Check FAQs

σ r = \frac{σ c - (e 1 \cdot E)}{𝛎}

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

Radial stress for disc given circumferential strain on disc Example

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

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

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

200 = \frac{80 - (2.5 \cdot 8)}{0.3}

200N/m² = \frac{80N/m² - (2.5 \cdot 8N/m²)}{0.3}

200 = \frac{80 - (2.5 \cdot 8)}{0.3}

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Radial stress for disc given circumferential strain on disc Solution

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

FIRST Step Consider the formula

σ r = \frac{σ c - (e 1 \cdot E)}{𝛎}

Next Step Substitute values of Variables

∴

σ r = \frac{80N/m² - (2.5 \cdot 8N/m²)}{0.3}

Next Step Convert Units

∴

σ r = \frac{80Pa - (2.5 \cdot 8Pa)}{0.3}

Next Step Prepare to Evaluate

∴

σ r = \frac{80 - (2.5 \cdot 8)}{0.3}

Next Step Evaluate

∴

σ r = 200Pa

LAST Step Convert to Output's Unit

∴

σ r = 200N/m²

Radial stress for disc given circumferential strain on disc Formula Elements

Variables

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

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

Other Formulas to find Radial Stress

Go Radial stress given initial radial width of disc

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

Go Radial stress given radial strain on disc

σ r = (e r \cdot E) + (𝛎 \cdot σ c)

Go Radial stress given radius of disc

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

Other formulas in Radial Stress and Strain category

Go Radial strain for rotating thin disc

e r = \frac{dr f - dr}{dr}

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

e r = \frac{du}{dr}

Go Radial strain on disc given stresses

e r = \frac{σ r - (𝛎 \cdot σ c)}{E}

How to Evaluate Radial stress for disc given circumferential strain on disc?

Radial stress for disc given circumferential strain on disc evaluator uses Radial Stress = (Circumferential Stress-(Circumferential Strain*Modulus Of Elasticity Of Disc))/(Poisson's Ratio) to evaluate the Radial Stress, The Radial stress for disc given circumferential strain on disc formula is defined as normal stress in directions coplanar with but perpendicular to the symmetry axis. Radial Stress is denoted by σ_r symbol.

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

FAQs on Radial stress for disc given circumferential strain on disc

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

The formula of Radial stress for disc given circumferential strain on disc is expressed as Radial Stress = (Circumferential Stress-(Circumferential Strain*Modulus Of Elasticity Of Disc))/(Poisson's Ratio). Here is an example- 200 = (80-(2.5*8))/(0.3).

How to calculate Radial stress for disc given circumferential strain on disc?

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

What are the other ways to Calculate Radial Stress?

Here are the different ways to Calculate Radial 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*Circumferential Stress)
Radial Stress=(Circumferential Stress-((Increase in radius/Disc Radius)*Modulus Of Elasticity Of Disc))/(Poisson's Ratio)

Can the Radial stress for disc given circumferential strain on disc be negative?

No, the Radial stress for disc given circumferential strain on disc, measured in Pressure cannot be negative.

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

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

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Radial stress for disc given circumferential strain on disc Formula

​GoRadial stress given initial radial width of disc Formula

​GoRadial stress given radial strain on disc Formula

Radial stress for disc given circumferential strain on disc Example

Radial stress for disc given circumferential strain on disc Solution

Radial stress for disc given circumferential strain on disc Formula Elements

Other Formulas to find Radial Stress

Other formulas in Radial Stress and Strain category

How to Evaluate Radial stress for disc given circumferential strain on disc?

FAQs on Radial stress for disc given circumferential strain on disc

Variable Name

GoRadial stress given initial radial width of disc Formula

GoRadial stress given radial strain on disc Formula