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Modulus of elasticity of thin cylindrical shell given volumetric 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 = (P i \cdot \frac{D}{2 \cdot ε v \cdot t}) \cdot ((\frac{5}{2}) - 𝛎)

E - Modulus of Elasticity Of Thin Shell?P_i - Internal Pressure in thin shell?D - Diameter of Shell?ε_v - Volumetric Strain?t - Thickness Of Thin Shell?𝛎 - Poisson's Ratio?

Modulus of elasticity of thin cylindrical shell given volumetric strain Example

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Here is how the Modulus of elasticity of thin cylindrical shell given volumetric strain equation looks like with Values.

Here is how the Modulus of elasticity of thin cylindrical shell given volumetric strain equation looks like with Units.

Here is how the Modulus of elasticity of thin cylindrical shell given volumetric strain equation looks like.

2.1511 = (14 \cdot \frac{2200}{2 \cdot 30 \cdot 525}) \cdot ((\frac{5}{2}) - 0.3)

2.1511MPa = (14MPa \cdot \frac{2200mm}{2 \cdot 30 \cdot 525mm}) \cdot ((\frac{5}{2}) - 0.3)

2.1511 = (14 \cdot \frac{2200}{2 \cdot 30 \cdot 525}) \cdot ((\frac{5}{2}) - 0.3)

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Modulus of elasticity of thin cylindrical shell given volumetric strain Solution

Follow our step by step solution on how to calculate Modulus of elasticity of thin cylindrical shell given volumetric strain?

FIRST Step Consider the formula

E = (P i \cdot \frac{D}{2 \cdot ε v \cdot t}) \cdot ((\frac{5}{2}) - 𝛎)

Next Step Substitute values of Variables

∴

E = (14MPa \cdot \frac{2200mm}{2 \cdot 30 \cdot 525mm}) \cdot ((\frac{5}{2}) - 0.3)

Next Step Convert Units

∴

E = (1.4E+7Pa \cdot \frac{2.2m}{2 \cdot 30 \cdot 0.525m}) \cdot ((\frac{5}{2}) - 0.3)

Next Step Prepare to Evaluate

∴

E = (1.4E+7 \cdot \frac{2.2}{2 \cdot 30 \cdot 0.525}) \cdot ((\frac{5}{2}) - 0.3)

Next Step Evaluate

∴

E = 2151111.11111111Pa

Next Step Convert to Output's Unit

∴

E = 2.15111111111111MPa

LAST Step Rounding Answer

∴

E = 2.1511MPa

Modulus of elasticity of thin cylindrical shell given volumetric 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

Internal Pressure in thin shell

Internal Pressure in thin shell is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.

Symbol: P_i

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Internal Pressure in thin shell

Diameter of Shell

Diameter of Shell is the maximum width of cylinder in transverse direction.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Shell

Volumetric Strain

The Volumetric Strain is the ratio of change in volume to original volume.

Symbol: ε_v

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Volumetric Strain

Thickness Of Thin Shell

Thickness Of Thin Shell is the distance through an object.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness Of 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 of thin spherical shell given strain in any one direction

E = (\frac{σ θ}{ε}) \cdot (1 - 𝛎)

Go Modulus of elasticity given circumferential strain

E = \frac{σ θ - (𝛎 \cdot σ l)}{e 1}

How to Evaluate Modulus of elasticity of thin cylindrical shell given volumetric strain?

Modulus of elasticity of thin cylindrical shell given volumetric strain evaluator uses Modulus of Elasticity Of Thin Shell = (Internal Pressure in thin shell*Diameter of Shell/(2*Volumetric Strain*Thickness Of Thin Shell))*((5/2)-Poisson's Ratio) to evaluate the Modulus of Elasticity Of Thin Shell, The Modulus of elasticity of thin cylindrical shell given volumetric strain 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 cylindrical shell given volumetric strain using this online evaluator? To use this online evaluator for Modulus of elasticity of thin cylindrical shell given volumetric strain, enter Internal Pressure in thin shell (P_i), Diameter of Shell (D), Volumetric Strain (ε_v), Thickness Of Thin Shell (t) & Poisson's Ratio (𝛎) and hit the calculate button.

FAQs on Modulus of elasticity of thin cylindrical shell given volumetric strain

What is the formula to find Modulus of elasticity of thin cylindrical shell given volumetric strain?

The formula of Modulus of elasticity of thin cylindrical shell given volumetric strain is expressed as Modulus of Elasticity Of Thin Shell = (Internal Pressure in thin shell*Diameter of Shell/(2*Volumetric Strain*Thickness Of Thin Shell))*((5/2)-Poisson's Ratio). Here is an example- 2.2E-6 = (14000000*2.2/(2*30*0.525))*((5/2)-0.3).

How to calculate Modulus of elasticity of thin cylindrical shell given volumetric strain?

With Internal Pressure in thin shell (P_i), Diameter of Shell (D), Volumetric Strain (ε_v), Thickness Of Thin Shell (t) & Poisson's Ratio (𝛎) we can find Modulus of elasticity of thin cylindrical shell given volumetric strain using the formula - Modulus of Elasticity Of Thin Shell = (Internal Pressure in thin shell*Diameter of Shell/(2*Volumetric Strain*Thickness Of Thin Shell))*((5/2)-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/Strain in thin shell)*(1-Poisson's Ratio)

Can the Modulus of elasticity of thin cylindrical shell given volumetric strain be negative?

No, the Modulus of elasticity of thin cylindrical shell given volumetric strain, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of elasticity of thin cylindrical shell given volumetric strain?

Modulus of elasticity of thin cylindrical shell given volumetric 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 of thin cylindrical shell given volumetric strain can be measured.

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Modulus of elasticity of thin cylindrical shell given volumetric 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 of thin cylindrical shell given volumetric strain Example

Modulus of elasticity of thin cylindrical shell given volumetric strain Solution

Modulus of elasticity of thin cylindrical shell given volumetric strain Formula Elements

Other Formulas to find Modulus of Elasticity Of Thin Shell

How to Evaluate Modulus of elasticity of thin cylindrical shell given volumetric strain?

FAQs on Modulus of elasticity of thin cylindrical shell given volumetric 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