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Volumetric strain of thin cylindrical shell Formula

GoVolumetric strain given circumferential strain and longitudinal strain Formula

GoVolumetric strain given internal fluid pressure Formula

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

ε v = \frac{∆V}{V O}

ε_v - Volumetric Strain?∆V - Change in Volume?V_O - Original Volume?

Volumetric strain of thin cylindrical shell Example

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Here is how the Volumetric strain of thin cylindrical shell equation looks like with Values.

Here is how the Volumetric strain of thin cylindrical shell equation looks like with Units.

Here is how the Volumetric strain of thin cylindrical shell equation looks like.

173.25 = \frac{3465}{20}

173.25 = \frac{3465m³}{20m³}

173.25 = \frac{3465}{20}

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Volumetric strain of thin cylindrical shell Solution

Follow our step by step solution on how to calculate Volumetric strain of thin cylindrical shell?

FIRST Step Consider the formula

ε v = \frac{∆V}{V O}

Next Step Substitute values of Variables

∴

ε v = \frac{3465m³}{20m³}

Next Step Prepare to Evaluate

∴

ε v = \frac{3465}{20}

LAST Step Evaluate

∴

ε v = 173.25

Volumetric strain of thin cylindrical shell 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

Change in Volume

The Change in volume is difference of initial and final volume.

Symbol: ∆V

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Change in Volume

Original Volume

Original Volume is the volume of soil before excavation.

Symbol: V_O

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Original Volume

Other Formulas to find Volumetric Strain

Go Volumetric strain given circumferential strain and longitudinal strain

ε v = 2 \cdot e 1 + (ε longitudinal)

Go Volumetric strain given internal fluid pressure

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

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

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

Other formulas in Deformation category

Go Strain in any one direction of thin spherical shell

ε = (\frac{σ θ}{E}) \cdot (1 - 𝛎)

Go Strain in thin spherical shell given internal fluid pressure

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

Go Circumferential strain given circumference

e 1 = \frac{δC}{C}

Go Circumferential strain given hoop stress

e 1 = \frac{σ θ - (𝛎 \cdot σ l)}{E}

How to Evaluate Volumetric strain of thin cylindrical shell?

Volumetric strain of thin cylindrical shell evaluator uses Volumetric Strain = Change in Volume/Original Volume to evaluate the Volumetric Strain, The Volumetric strain of thin cylindrical shell 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 of thin cylindrical shell using this online evaluator? To use this online evaluator for Volumetric strain of thin cylindrical shell, enter Change in Volume (∆V) & Original Volume (V_O) and hit the calculate button.

FAQs on Volumetric strain of thin cylindrical shell

What is the formula to find Volumetric strain of thin cylindrical shell?

The formula of Volumetric strain of thin cylindrical shell is expressed as Volumetric Strain = Change in Volume/Original Volume. Here is an example- 173.25 = 3465/20.

How to calculate Volumetric strain of thin cylindrical shell?

With Change in Volume (∆V) & Original Volume (V_O) we can find Volumetric strain of thin cylindrical shell using the formula - Volumetric Strain = Change in Volume/Original Volume.

What are the other ways to Calculate Volumetric Strain?

Here are the different ways to Calculate Volumetric Strain-

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

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