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Modulus of elasticity given initial radial width 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 r - (𝛎 \cdot σ c)}{\frac{Δr}{d r}}

E - Modulus of Elasticity of Disc?σ_r - Radial Stress?𝛎 - Poisson's Ratio?σ_c - Circumferential Stress?Δr - Increase in Radial Width?d_r - Initial Radial Width?

Modulus of elasticity given initial radial width of disc Example

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

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

Here is how the Modulus of elasticity given initial radial width of disc equation looks like.

67.0588 = \frac{100 - (0.3 \cdot 80)}{\frac{3.4}{3}}

67.0588N/m² = \frac{100N/m² - (0.3 \cdot 80N/m²)}{\frac{3.4mm}{3mm}}

67.0588 = \frac{100 - (0.3 \cdot 80)}{\frac{3.4}{3}}

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Modulus of elasticity given initial radial width of disc Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E = \frac{100N/m² - (0.3 \cdot 80N/m²)}{\frac{3.4mm}{3mm}}

Next Step Convert Units

∴

E = \frac{100Pa - (0.3 \cdot 80Pa)}{\frac{0.0034m}{0.003m}}

Next Step Prepare to Evaluate

∴

E = \frac{100 - (0.3 \cdot 80)}{\frac{0.0034}{0.003}}

Next Step Evaluate

∴

E = 67.0588235294118Pa

Next Step Convert to Output's Unit

∴

E = 67.0588235294118N/m²

LAST Step Rounding Answer

∴

E = 67.0588N/m²

Modulus of elasticity given initial radial width 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

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

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

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 Radial Width

Increase in radial width refers to the change or expansion in the radius of a circular object (like a disc, pipe, or cylinder) from its original value due to some external or internal influence.

Symbol: Δr

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Increase in Radial Width

Initial Radial Width

Initial radial width the starting radial distance or width at a particular point or state.

Symbol: d_r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Initial Radial Width

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 radius of disc

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

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 initial radial width of disc?

Modulus of elasticity given initial radial width of disc evaluator uses Modulus of Elasticity of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/(Increase in Radial Width/Initial Radial Width) to evaluate the Modulus of Elasticity of Disc, Modulus of elasticity given initial radial width of disc formula is defined as a relationship that quantifies the stiffness of a rotating disc material under stress, reflecting how much it deforms in response to applied forces. Modulus of Elasticity of Disc is denoted by E symbol.

How to evaluate Modulus of elasticity given initial radial width of disc using this online evaluator? To use this online evaluator for Modulus of elasticity given initial radial width of disc, enter Radial Stress (σ_r), Poisson's Ratio (𝛎), Circumferential Stress (σ_c), Increase in Radial Width (Δr) & Initial Radial Width (d_r) and hit the calculate button.

FAQs on Modulus of elasticity given initial radial width of disc

What is the formula to find Modulus of elasticity given initial radial width of disc?

The formula of Modulus of elasticity given initial radial width of disc is expressed as Modulus of Elasticity of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/(Increase in Radial Width/Initial Radial Width). Here is an example- 67.05882 = (100-(0.3*80))/(0.0034/0.003).

How to calculate Modulus of elasticity given initial radial width of disc?

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

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=((Circumferential Stress-(Poisson's Ratio*Radial Stress))/(Increase in Radius/Radius of Disc))

Can the Modulus of elasticity given initial radial width of disc be negative?

No, the Modulus of elasticity given initial radial width of disc, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of elasticity given initial radial width of disc?

Modulus of elasticity given initial radial width 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 initial radial width of disc can be measured.

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Modulus of elasticity given initial radial width 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 initial radial width of disc Example

Modulus of elasticity given initial radial width of disc Solution

Modulus of elasticity given initial radial width 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 initial radial width of disc?

FAQs on Modulus of elasticity given initial radial width of disc

Variable Name

GoModulus of elasticity given circumferential strain on disc Formula

GoModulus of elasticity given radial strain on disc Formula