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Modulus of elasticity given circumferential strain Formula

GoModulus of elasticity for thin spherical shell given strain and internal fluid pressure Formula

GoModulus of elasticity given change in diameter of thin spherical shells Formula

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Modulus of Elasticity Of Thin Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it. Check FAQs

E = \frac{σ θ - (𝛎 \cdot σ l)}{e 1}

E - Modulus of Elasticity Of Thin Shell?σ_θ - Hoop Stress in Thin shell?𝛎 - Poisson's Ratio?σ_l - Longitudinal Stress Thick Shell?e₁ - Circumferential Strain Thin Shell?

Modulus of elasticity given circumferential strain Example

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Here is how the Modulus of elasticity given circumferential strain equation looks like with Values.

Here is how the Modulus of elasticity given circumferential strain equation looks like with Units.

Here is how the Modulus of elasticity given circumferential strain equation looks like.

7.612 = \frac{25.03 - (0.3 \cdot 20)}{2.5}

7.612MPa = \frac{25.03MPa - (0.3 \cdot 20MPa)}{2.5}

7.612 = \frac{25.03 - (0.3 \cdot 20)}{2.5}

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Modulus of elasticity given circumferential strain Solution

Follow our step by step solution on how to calculate Modulus of elasticity given circumferential strain?

FIRST Step Consider the formula

E = \frac{σ θ - (𝛎 \cdot σ l)}{e 1}

Next Step Substitute values of Variables

∴

E = \frac{25.03MPa - (0.3 \cdot 20MPa)}{2.5}

Next Step Convert Units

∴

E = \frac{2.5E+7Pa - (0.3 \cdot 2E+7Pa)}{2.5}

Next Step Prepare to Evaluate

∴

E = \frac{2.5E+7 - (0.3 \cdot 2E+7)}{2.5}

Next Step Evaluate

∴

E = 7612000Pa

LAST Step Convert to Output's Unit

∴

E = 7.612MPa

Modulus of elasticity given circumferential strain Formula Elements

Variables

Modulus of Elasticity Of Thin Shell

Modulus of Elasticity Of Thin Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.

Symbol: E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity Of Thin Shell

Hoop Stress in Thin shell

Hoop Stress in Thin shell is the circumferential stress in a cylinder.

Symbol: σ_θ

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Hoop Stress in Thin shell

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 can be positive or negative.

Formulas to find Poisson's Ratio

Longitudinal Stress Thick Shell

Longitudinal Stress Thick Shell is defined as the stress produced when a pipe is subjected to internal pressure.

Symbol: σ_l

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Longitudinal Stress Thick Shell

Circumferential Strain Thin Shell

Circumferential strain Thin Shell represents the change in length.

Symbol: e₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Circumferential Strain Thin Shell

Other Formulas to find Modulus of Elasticity Of Thin Shell

Go Modulus of elasticity for thin spherical shell given strain and internal fluid pressure

E = (\frac{P i \cdot D}{4 \cdot t \cdot ε}) \cdot (1 - 𝛎)

Go Modulus of elasticity given change in diameter of thin spherical shells

E = (\frac{P i \cdot (D^{2})}{4 \cdot t \cdot ∆d}) \cdot (1 - 𝛎)

Go Modulus of elasticity of thin spherical shell given strain in any one direction

E = (\frac{σ θ}{ε}) \cdot (1 - 𝛎)

Go Modulus of elasticity of shell material given change in length of cylindrical shell

E = (\frac{P i \cdot D \cdot L cylinder}{2 \cdot t \cdot ΔL}) \cdot ((\frac{1}{2}) - 𝛎)

How to Evaluate Modulus of elasticity given circumferential strain?

Modulus of elasticity given circumferential strain evaluator uses Modulus of Elasticity Of Thin Shell = (Hoop Stress in Thin shell-(Poisson's Ratio*Longitudinal Stress Thick Shell))/Circumferential Strain Thin Shell to evaluate the Modulus of Elasticity Of Thin Shell, Modulus of elasticity given circumferential strain is the measure of the stiffness of a material. Modulus of Elasticity Of Thin Shell is denoted by E symbol.

How to evaluate Modulus of elasticity given circumferential strain using this online evaluator? To use this online evaluator for Modulus of elasticity given circumferential strain, enter Hoop Stress in Thin shell (σ_θ), Poisson's Ratio (𝛎), Longitudinal Stress Thick Shell (σ_l) & Circumferential Strain Thin Shell (e₁) and hit the calculate button.

FAQs on Modulus of elasticity given circumferential strain

What is the formula to find Modulus of elasticity given circumferential strain?

The formula of Modulus of elasticity given circumferential strain is expressed as Modulus of Elasticity Of Thin Shell = (Hoop Stress in Thin shell-(Poisson's Ratio*Longitudinal Stress Thick Shell))/Circumferential Strain Thin Shell. Here is an example- 1E-5 = (25030000-(0.3*20000000))/2.5.

How to calculate Modulus of elasticity given circumferential strain?

With Hoop Stress in Thin shell (σ_θ), Poisson's Ratio (𝛎), Longitudinal Stress Thick Shell (σ_l) & Circumferential Strain Thin Shell (e₁) we can find Modulus of elasticity given circumferential strain using the formula - Modulus of Elasticity Of Thin Shell = (Hoop Stress in Thin shell-(Poisson's Ratio*Longitudinal Stress Thick Shell))/Circumferential Strain Thin Shell.

What are the other ways to Calculate Modulus of Elasticity Of Thin Shell?

Here are the different ways to Calculate Modulus of Elasticity Of Thin Shell-

Modulus of Elasticity Of Thin Shell=((Internal Pressure*Diameter of Sphere)/(4*Thickness Of Thin Spherical Shell*Strain in thin shell))*(1-Poisson's Ratio)
Modulus of Elasticity Of Thin Shell=((Internal Pressure*(Diameter of Sphere^2))/(4*Thickness Of Thin Spherical Shell*Change in Diameter))*(1-Poisson's Ratio)
Modulus of Elasticity Of Thin Shell=(Hoop Stress in Thin shell/Strain in thin shell)*(1-Poisson's Ratio)

Can the Modulus of elasticity given circumferential strain be negative?

No, the Modulus of elasticity given circumferential strain, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of elasticity given circumferential strain?

Modulus of elasticity given circumferential strain is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Modulus of elasticity given circumferential strain can be measured.

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Modulus of elasticity given circumferential strain Formula

​GoModulus of elasticity for thin spherical shell given strain and internal fluid pressure Formula

​GoModulus of elasticity given change in diameter of thin spherical shells Formula

Modulus of elasticity given circumferential strain Example

Modulus of elasticity given circumferential strain Solution

Modulus of elasticity given circumferential strain Formula Elements

Other Formulas to find Modulus of Elasticity Of Thin Shell

How to Evaluate Modulus of elasticity given circumferential strain?

FAQs on Modulus of elasticity given circumferential strain

Variable Name

GoModulus of elasticity for thin spherical shell given strain and internal fluid pressure Formula

GoModulus of elasticity given change in diameter of thin spherical shells Formula