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Volumetric strain of thin cylindrical shell given changes in diameter and length 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 = (2 \cdot \frac{∆d}{D}) + (\frac{ΔL}{L cylinder})

ε_v - Volumetric Strain?∆d - Change in Diameter?D - Diameter of Shell?ΔL - Change in Length?L_cylinder - Length Of Cylindrical Shell?

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

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Here is how the Volumetric strain of thin cylindrical shell given changes in diameter and length equation looks like with Values.

Here is how the Volumetric strain of thin cylindrical shell given changes in diameter and length equation looks like with Units.

Here is how the Volumetric strain of thin cylindrical shell given changes in diameter and length equation looks like.

0.4126 = (2 \cdot \frac{50.5}{2200}) + (\frac{1100}{3000})

0.4126 = (2 \cdot \frac{50.5mm}{2200mm}) + (\frac{1100mm}{3000mm})

0.4126 = (2 \cdot \frac{50.5}{2200}) + (\frac{1100}{3000})

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

Follow our step by step solution on how to calculate Volumetric strain of thin cylindrical shell given changes in diameter and length?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ε v = (2 \cdot \frac{50.5mm}{2200mm}) + (\frac{1100mm}{3000mm})

Next Step Convert Units

∴

ε v = (2 \cdot \frac{0.0505m}{2.2m}) + (\frac{1.1m}{3m})

Next Step Prepare to Evaluate

∴

ε v = (2 \cdot \frac{0.0505}{2.2}) + (\frac{1.1}{3})

Next Step Evaluate

∴

ε v = 0.412575757575758

LAST Step Rounding Answer

∴

ε v = 0.4126

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

The Change in Diameter is the difference between the initial and final diameter.

Symbol: ∆d

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Change in Diameter

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

Change in Length

Change in Length is after the application of force, change in the dimensions of the object.

Symbol: ΔL

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Change in Length

Length Of Cylindrical Shell

Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.

Symbol: L_cylinder

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length Of Cylindrical Shell

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

ε v = \frac{∆V}{V O}

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 given changes in diameter and length?

Volumetric strain of thin cylindrical shell given changes in diameter and length evaluator uses Volumetric Strain = (2*Change in Diameter/Diameter of Shell)+(Change in Length/Length Of Cylindrical Shell) to evaluate the Volumetric Strain, The Volumetric strain of thin cylindrical shell given changes in diameter and length 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 given changes in diameter and length using this online evaluator? To use this online evaluator for Volumetric strain of thin cylindrical shell given changes in diameter and length, enter Change in Diameter (∆d), Diameter of Shell (D), Change in Length (ΔL) & Length Of Cylindrical Shell (L_cylinder) and hit the calculate button.

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

What is the formula to find Volumetric strain of thin cylindrical shell given changes in diameter and length?

The formula of Volumetric strain of thin cylindrical shell given changes in diameter and length is expressed as Volumetric Strain = (2*Change in Diameter/Diameter of Shell)+(Change in Length/Length Of Cylindrical Shell). Here is an example- 0.412576 = (2*0.0505/2.2)+(1.1/3).

How to calculate Volumetric strain of thin cylindrical shell given changes in diameter and length?

With Change in Diameter (∆d), Diameter of Shell (D), Change in Length (ΔL) & Length Of Cylindrical Shell (L_cylinder) we can find Volumetric strain of thin cylindrical shell given changes in diameter and length using the formula - Volumetric Strain = (2*Change in Diameter/Diameter of Shell)+(Change in Length/Length Of Cylindrical Shell).

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=Change in Volume/Original Volume

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

​GoVolumetric strain given circumferential strain and longitudinal strain Formula

​GoVolumetric strain given internal fluid pressure Formula

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

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

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

Other Formulas to find Volumetric Strain

Other formulas in Deformation category

How to Evaluate Volumetric strain of thin cylindrical shell given changes in diameter and length?

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

Variable Name

GoVolumetric strain given circumferential strain and longitudinal strain Formula

GoVolumetric strain given internal fluid pressure Formula