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Volumetric strain given internal fluid pressure Formula

GoVolumetric strain of thin cylindrical shell Formula

GoVolumetric strain of thin cylindrical shell given changes in diameter and length Formula

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

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

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

Volumetric strain given internal fluid pressure Example

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Here is how the Volumetric strain given internal fluid pressure equation looks like with Values.

Here is how the Volumetric strain given internal fluid pressure equation looks like with Units.

Here is how the Volumetric strain given internal fluid pressure equation looks like.

6.4533 = (14 \cdot \frac{2200}{2 \cdot 10 \cdot 525}) \cdot ((\frac{5}{2}) - 0.3)

6.4533 = (14MPa \cdot \frac{2200mm}{2 \cdot 10MPa \cdot 525mm}) \cdot ((\frac{5}{2}) - 0.3)

6.4533 = (14 \cdot \frac{2200}{2 \cdot 10 \cdot 525}) \cdot ((\frac{5}{2}) - 0.3)

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Volumetric strain given internal fluid pressure Solution

Follow our step by step solution on how to calculate Volumetric strain given internal fluid pressure?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ε v = (14MPa \cdot \frac{2200mm}{2 \cdot 10MPa \cdot 525mm}) \cdot ((\frac{5}{2}) - 0.3)

Next Step Convert Units

∴

ε v = (1.4E+7Pa \cdot \frac{2.2m}{2 \cdot 1E+7Pa \cdot 0.525m}) \cdot ((\frac{5}{2}) - 0.3)

Next Step Prepare to Evaluate

∴

ε v = (1.4E+7 \cdot \frac{2.2}{2 \cdot 1E+7 \cdot 0.525}) \cdot ((\frac{5}{2}) - 0.3)

Next Step Evaluate

∴

ε v = 6.45333333333333

LAST Step Rounding Answer

∴

ε v = 6.4533

Volumetric strain given internal fluid pressure Formula Elements

Variables

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

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

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

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 Volumetric Strain

Go Volumetric strain of thin cylindrical shell

ε v = \frac{∆V}{V O}

Go Volumetric strain of thin cylindrical shell given changes in diameter and length

ε v = (2 \cdot \frac{∆d}{D}) + (\frac{ΔL}{L cylinder})

Go Volumetric strain given circumferential strain and longitudinal strain

ε v = 2 \cdot e 1 + (ε longitudinal)

Other formulas in Deformation category

Go Circumferential strain given hoop stress

e 1 = \frac{σ θ - (𝛎 \cdot σ l)}{E}

Go Circumferential strain given internal fluid pressure

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

Go Longitudinal strain given hoop and longitudinal stress

ε longitudinal = \frac{σ l - (𝛎 \cdot σ θ)}{E}

Go Longitudinal strain in thin cylindrical vessel given internal fluid pressure

ε longitudinal = (\frac{P i \cdot D i}{2 \cdot t \cdot E}) \cdot ((\frac{1}{2}) - 𝛎)

How to Evaluate Volumetric strain given internal fluid pressure?

Volumetric strain given internal fluid pressure evaluator uses Volumetric Strain = (Internal Pressure in thin shell*Diameter of Shell/(2*Modulus of Elasticity Of Thin Shell*Thickness Of Thin Shell))*((5/2)-Poisson's Ratio) to evaluate the Volumetric Strain, The Volumetric strain given internal fluid pressure formula is defined as the ratio of the change in volume of the body to the deformation to its original volume. Volumetric Strain is denoted by ε_v symbol.

How to evaluate Volumetric strain given internal fluid pressure using this online evaluator? To use this online evaluator for Volumetric strain given internal fluid pressure, enter Internal Pressure in thin shell (P_i), Diameter of Shell (D), Modulus of Elasticity Of Thin Shell (E), Thickness Of Thin Shell (t) & Poisson's Ratio (𝛎) and hit the calculate button.

FAQs on Volumetric strain given internal fluid pressure

What is the formula to find Volumetric strain given internal fluid pressure?

The formula of Volumetric strain given internal fluid pressure is expressed as Volumetric Strain = (Internal Pressure in thin shell*Diameter of Shell/(2*Modulus of Elasticity Of Thin Shell*Thickness Of Thin Shell))*((5/2)-Poisson's Ratio). Here is an example- 6.453333 = (14000000*2.2/(2*10000000*0.525))*((5/2)-0.3).

How to calculate Volumetric strain given internal fluid pressure?

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

What are the other ways to Calculate Volumetric Strain?

Here are the different ways to Calculate Volumetric Strain-

Volumetric Strain=Change in Volume/Original Volume
Volumetric Strain=(2*Change in Diameter/Diameter of Shell)+(Change in Length/Length Of Cylindrical Shell)
Volumetric Strain=2*Circumferential strain Thin Shell+(Longitudinal Strain)

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: Unit

Volumetric strain given internal fluid pressure Formula

​GoVolumetric strain of thin cylindrical shell Formula

​GoVolumetric strain of thin cylindrical shell given changes in diameter and length Formula

Volumetric strain given internal fluid pressure Example

Volumetric strain given internal fluid pressure Solution

Volumetric strain given internal fluid pressure Formula Elements

Other Formulas to find Volumetric Strain

Other formulas in Deformation category

How to Evaluate Volumetric strain given internal fluid pressure?

FAQs on Volumetric strain given internal fluid pressure

Variable Name

GoVolumetric strain of thin cylindrical shell Formula

GoVolumetric strain of thin cylindrical shell given changes in diameter and length Formula