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Modulus of elasticity of thin spherical shell given strain in any one direction 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}{ε}) \cdot (1 - 𝛎)

E - Modulus of Elasticity Of Thin Shell?σ_θ - Hoop Stress in Thin shell?ε - Strain in thin shell?𝛎 - Poisson's Ratio?

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

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Here is how the Modulus of elasticity of thin spherical shell given strain in any one direction equation looks like with Values.

Here is how the Modulus of elasticity of thin spherical shell given strain in any one direction equation looks like with Units.

Here is how the Modulus of elasticity of thin spherical shell given strain in any one direction equation looks like.

5.8403 = (\frac{25.03}{3}) \cdot (1 - 0.3)

5.8403MPa = (\frac{25.03MPa}{3}) \cdot (1 - 0.3)

5.8403 = (\frac{25.03}{3}) \cdot (1 - 0.3)

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

Follow our step by step solution on how to calculate Modulus of elasticity of thin spherical shell given strain in any one direction?

FIRST Step Consider the formula

E = (\frac{σ θ}{ε}) \cdot (1 - 𝛎)

Next Step Substitute values of Variables

∴

E = (\frac{25.03MPa}{3}) \cdot (1 - 0.3)

Next Step Convert Units

∴

E = (\frac{2.5E+7Pa}{3}) \cdot (1 - 0.3)

Next Step Prepare to Evaluate

∴

E = (\frac{2.5E+7}{3}) \cdot (1 - 0.3)

Next Step Evaluate

∴

E = 5840333.33333333Pa

Next Step Convert to Output's Unit

∴

E = 5.84033333333333MPa

LAST Step Rounding Answer

∴

E = 5.8403MPa

Modulus of elasticity of thin spherical shell given strain in any one direction 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 should be greater than 0.

Formulas to find Hoop Stress in Thin shell

Strain in thin shell

Strain in thin shell is simply the measure of how much an object is stretched or deformed.

Symbol: ε

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Strain 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

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 given circumferential strain

E = \frac{σ θ - (𝛎 \cdot σ l)}{e 1}

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 of thin spherical shell given strain in any one direction?

Modulus of elasticity of thin spherical shell given strain in any one direction evaluator uses Modulus of Elasticity Of Thin Shell = (Hoop Stress in Thin shell/Strain in thin shell)*(1-Poisson's Ratio) to evaluate the Modulus of Elasticity Of Thin Shell, The Modulus of elasticity of thin spherical shell given strain in any one direction formula is defined as a quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when stress is applied to it. Modulus of Elasticity Of Thin Shell is denoted by E symbol.

How to evaluate Modulus of elasticity of thin spherical shell given strain in any one direction using this online evaluator? To use this online evaluator for Modulus of elasticity of thin spherical shell given strain in any one direction, enter Hoop Stress in Thin shell (σ_θ), Strain in thin shell (ε) & Poisson's Ratio (𝛎) and hit the calculate button.

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

What is the formula to find Modulus of elasticity of thin spherical shell given strain in any one direction?

The formula of Modulus of elasticity of thin spherical shell given strain in any one direction is expressed as Modulus of Elasticity Of Thin Shell = (Hoop Stress in Thin shell/Strain in thin shell)*(1-Poisson's Ratio). Here is an example- 5.8E-6 = (25030000/3)*(1-0.3).

How to calculate Modulus of elasticity of thin spherical shell given strain in any one direction?

With Hoop Stress in Thin shell (σ_θ), Strain in thin shell (ε) & Poisson's Ratio (𝛎) we can find Modulus of elasticity of thin spherical shell given strain in any one direction using the formula - Modulus of Elasticity Of Thin Shell = (Hoop Stress in Thin shell/Strain in thin shell)*(1-Poisson's Ratio).

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-(Poisson's Ratio*Longitudinal Stress Thick Shell))/Circumferential Strain Thin Shell

Can the Modulus of elasticity of thin spherical shell given strain in any one direction be negative?

No, the Modulus of elasticity of thin spherical shell given strain in any one direction, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of elasticity of thin spherical shell given strain in any one direction?

Modulus of elasticity of thin spherical shell given strain in any one direction 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 of thin spherical shell given strain in any one direction can be measured.

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