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Radial stress given radius of disc Formula

GoRadial stress for disc given circumferential strain on disc Formula

GoRadial stress given initial radial width of disc Formula

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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. Check FAQs

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

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

Radial stress given radius of disc Example

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

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

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

266.4933 = \frac{80 - ((\frac{6.5}{1000}) \cdot 8)}{0.3}

266.4933N/m² = \frac{80N/m² - ((\frac{6.5mm}{1000mm}) \cdot 8N/m²)}{0.3}

266.4933 = \frac{80 - ((\frac{6.5}{1000}) \cdot 8)}{0.3}

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Radial stress given radius of disc Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ r = \frac{80N/m² - ((\frac{6.5mm}{1000mm}) \cdot 8N/m²)}{0.3}

Next Step Convert Units

∴

σ r = \frac{80Pa - ((\frac{0.0065m}{1m}) \cdot 8Pa)}{0.3}

Next Step Prepare to Evaluate

∴

σ r = \frac{80 - ((\frac{0.0065}{1}) \cdot 8)}{0.3}

Next Step Evaluate

∴

σ r = 266.493333333333Pa

Next Step Convert to Output's Unit

∴

σ r = 266.493333333333N/m²

LAST Step Rounding Answer

∴

σ r = 266.4933N/m²

Radial stress given radius of disc Formula Elements

Variables

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

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

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

Other Formulas to find Radial Stress

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)

Other formulas in Radial Stress and Strain category

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}

Go Radial strain on disc given stresses

ε r = \frac{σ r - (𝛎 \cdot σ c)}{E}

How to Evaluate Radial stress given radius of disc?

Radial stress given radius of disc evaluator uses Radial Stress = (Circumferential Stress-((Increase in Radius/Radius of Disc)*Modulus of Elasticity of Disc))/(Poisson's Ratio) to evaluate the Radial Stress, Radial stress given radius of disc formula is defined as a measure of the internal stress experienced by a rotating disc at a specific radius, accounting for the effects of material properties and geometric factors on stress distribution. Radial Stress is denoted by σ_r symbol.

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

FAQs on Radial stress given radius of disc

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

The formula of Radial stress given radius of disc is expressed as Radial Stress = (Circumferential Stress-((Increase in Radius/Radius of Disc)*Modulus of Elasticity of Disc))/(Poisson's Ratio). Here is an example- 266.4933 = (80-((0.0065/1)*8))/(0.3).

How to calculate Radial stress given radius of disc?

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

Can the Radial stress given radius of disc be negative?

No, the Radial stress given radius of disc, measured in Pressure cannot be negative.

Which unit is used to measure Radial stress given radius of disc?

Radial stress given radius of 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 given radius of disc can be measured.

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Radial stress given radius of disc Formula

​GoRadial stress for disc given circumferential strain on disc Formula

​GoRadial stress given initial radial width of disc Formula

Radial stress given radius of disc Example

Radial stress given radius of disc Solution

Radial stress given radius of disc Formula Elements

Other Formulas to find Radial Stress

Other formulas in Radial Stress and Strain category

How to Evaluate Radial stress given radius of disc?

FAQs on Radial stress given radius of disc

Variable Name

GoRadial stress for disc given circumferential strain on disc Formula

GoRadial stress given initial radial width of disc Formula