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Modulus of elasticity given radius of disc Formula

GoModulus of elasticity given circumferential strain on disc Formula

GoModulus of elasticity given radial strain on disc Formula

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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. Check FAQs

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

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

Modulus of elasticity given radius of disc Example

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Here is how the Modulus of elasticity given radius of disc equation looks like with Values.

Here is how the Modulus of elasticity given radius of disc equation looks like with Units.

Here is how the Modulus of elasticity given radius of disc equation looks like.

7692.3077 = (\frac{80 - (0.3 \cdot 100)}{\frac{6.5}{1000}})

7692.3077N/m² = (\frac{80N/m² - (0.3 \cdot 100N/m²)}{\frac{6.5mm}{1000mm}})

7692.3077 = (\frac{80 - (0.3 \cdot 100)}{\frac{6.5}{1000}})

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Modulus of elasticity given radius of disc Solution

Follow our step by step solution on how to calculate Modulus of elasticity given radius of disc?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E = (\frac{80N/m² - (0.3 \cdot 100N/m²)}{\frac{6.5mm}{1000mm}})

Next Step Convert Units

∴

E = (\frac{80Pa - (0.3 \cdot 100Pa)}{\frac{0.0065m}{1m}})

Next Step Prepare to Evaluate

∴

E = (\frac{80 - (0.3 \cdot 100)}{\frac{0.0065}{1}})

Next Step Evaluate

∴

E = 7692.30769230769Pa

Next Step Convert to Output's Unit

∴

E = 7692.30769230769N/m²

LAST Step Rounding Answer

∴

E = 7692.3077N/m²

Modulus of elasticity given radius of disc Formula Elements

Variables

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

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

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

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

Other Formulas to find Modulus of Elasticity of Disc

Go Modulus of elasticity given circumferential strain on disc

E = \frac{σ c - (𝛎 \cdot σ r)}{e 1}

Go Modulus of elasticity given radial strain on disc

E = \frac{σ r - (𝛎 \cdot σ c)}{ε r}

Go Modulus of elasticity given initial radial width of disc

E = \frac{σ r - (𝛎 \cdot σ c)}{\frac{Δr}{d r}}

Other formulas in Relation of Parameters category

Go Hoop stress in thin cylinder

σ θ = ρ \cdot ω \cdot r disc

Go Density of cylinder material given hoop stress (for thin cylinder)

ρ = \frac{σ θ}{ω \cdot r disc}

Go Mean radius of cylinder given hoop stress in thin cylinder

r disc = \frac{σ θ}{ρ \cdot ω}

Go Angular speed of rotation for thin cylinder given hoop stress in thin cylinder

ω = \frac{σ θ}{ρ \cdot r disc}

How to Evaluate Modulus of elasticity given radius of disc?

Modulus of elasticity given radius of disc evaluator uses Modulus of Elasticity of Disc = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/(Increase in Radius/Radius of Disc)) to evaluate the Modulus of Elasticity of Disc, Modulus of elasticity given radius of disc formula is defined as a measure of the stiffness of a material in relation to the stresses experienced in a rotating disc, reflecting how it deforms under applied forces. Modulus of Elasticity of Disc is denoted by E symbol.

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

FAQs on Modulus of elasticity given radius of disc

What is the formula to find Modulus of elasticity given radius of disc?

The formula of Modulus of elasticity given radius of disc is expressed as Modulus of Elasticity of Disc = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/(Increase in Radius/Radius of Disc)). Here is an example- 7692.308 = ((80-(0.3*100))/(0.0065/1)).

How to calculate Modulus of elasticity given radius of disc?

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

What are the other ways to Calculate Modulus of Elasticity of Disc?

Here are the different ways to Calculate Modulus of Elasticity of Disc-

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

Can the Modulus of elasticity given radius of disc be negative?

No, the Modulus of elasticity given radius of disc, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of elasticity given radius of disc?

Modulus of elasticity 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 Modulus of elasticity given radius of disc can be measured.

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Modulus of elasticity given radius of disc Formula

​GoModulus of elasticity given circumferential strain on disc Formula

​GoModulus of elasticity given radial strain on disc Formula

Modulus of elasticity given radius of disc Example

Modulus of elasticity given radius of disc Solution

Modulus of elasticity given radius of disc Formula Elements

Other Formulas to find Modulus of Elasticity of Disc

Other formulas in Relation of Parameters category

How to Evaluate Modulus of elasticity given radius of disc?

FAQs on Modulus of elasticity given radius of disc

Variable Name

GoModulus of elasticity given circumferential strain on disc Formula

GoModulus of elasticity given radial strain on disc Formula