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Diameter of thin cylindrical shell given volumetric strain Formula

GoDiameter of cylindrical shell given change in length of cylindrical shell Formula

GoDiameter of thin cylindrical strain given volumetric strain Formula

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

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

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

Diameter of thin cylindrical shell given volumetric strain Example

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

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

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

10227.2727 = \frac{30 \cdot 2 \cdot 10 \cdot 525}{(14) \cdot ((\frac{5}{2}) - 0.3)}

10227.2727mm = \frac{30 \cdot 2 \cdot 10MPa \cdot 525mm}{(14MPa) \cdot ((\frac{5}{2}) - 0.3)}

10227.2727 = \frac{30 \cdot 2 \cdot 10 \cdot 525}{(14) \cdot ((\frac{5}{2}) - 0.3)}

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Diameter of thin cylindrical shell given volumetric strain Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D = \frac{30 \cdot 2 \cdot 10MPa \cdot 525mm}{(14MPa) \cdot ((\frac{5}{2}) - 0.3)}

Next Step Convert Units

∴

D = \frac{30 \cdot 2 \cdot 1E+7Pa \cdot 0.525m}{(1.4E+7Pa) \cdot ((\frac{5}{2}) - 0.3)}

Next Step Prepare to Evaluate

∴

D = \frac{30 \cdot 2 \cdot 1E+7 \cdot 0.525}{(1.4E+7) \cdot ((\frac{5}{2}) - 0.3)}

Next Step Evaluate

∴

D = 10.2272727272727m

Next Step Convert to Output's Unit

∴

D = 10227.2727272727mm

LAST Step Rounding Answer

∴

D = 10227.2727mm

Diameter of thin cylindrical shell given volumetric strain Formula Elements

Variables

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

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

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

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 Diameter of Shell

Go Diameter of cylindrical shell given change in length of cylindrical shell

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

Go Diameter of thin cylindrical strain given volumetric strain

D = 2 \cdot \frac{dy}{ε v - (\frac{ΔL}{L cylinder})}

Other formulas in Stress and Strain category

Go Diameter of spherical shell given change in diameter of thin spherical shells

D = \sqrt{\frac{∆d \cdot \frac{4 \cdot t \cdot E}{1 - 𝛎}}{P i}}

Go Diameter of thin spherical shell given strain in any one direction

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

Go Internal fluid pressure given change in diameter of thin spherical shells

P i = \frac{∆d \cdot \frac{4 \cdot t \cdot E}{1 - 𝛎}}{D^{2}}

Go Thickness of spherical shell given change in diameter of thin spherical shells

t = (\frac{P i \cdot (D^{2})}{4 \cdot ∆d \cdot E}) \cdot (1 - 𝛎)

How to Evaluate Diameter of thin cylindrical shell given volumetric strain?

Diameter of thin cylindrical shell given volumetric strain evaluator uses Diameter of Shell = (Volumetric Strain*2*Modulus of Elasticity Of Thin Shell*Thickness Of Thin Shell)/((Internal Pressure in thin shell)*((5/2)-Poisson's Ratio)) to evaluate the Diameter of Shell, The Diameter of thin cylindrical shell given volumetric strain formula is defined as a chord that runs through the center point of the circle. It is the longest possible chord of any circle. Diameter of Shell is denoted by D symbol.

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

FAQs on Diameter of thin cylindrical shell given volumetric strain

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

The formula of Diameter of thin cylindrical shell given volumetric strain is expressed as Diameter of Shell = (Volumetric Strain*2*Modulus of Elasticity Of Thin Shell*Thickness Of Thin Shell)/((Internal Pressure in thin shell)*((5/2)-Poisson's Ratio)). Here is an example- 1E+7 = (30*2*10000000*0.525)/((14000000)*((5/2)-0.3)).

How to calculate Diameter of thin cylindrical shell given volumetric strain?

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

What are the other ways to Calculate Diameter of Shell?

Here are the different ways to Calculate Diameter of Shell-

Diameter of Shell=(Change in Length*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell*Length Of Cylindrical Shell))*((1/2)-Poisson's Ratio))
Diameter of Shell=2*Change in Distance/(Volumetric Strain-(Change in Length/Length Of Cylindrical Shell))

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

No, the Diameter of thin cylindrical shell given volumetric strain, measured in Length cannot be negative.

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

Diameter of thin cylindrical shell given volumetric strain is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of thin cylindrical shell given volumetric strain can be measured.

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Diameter of thin cylindrical shell given volumetric strain Formula

​GoDiameter of cylindrical shell given change in length of cylindrical shell Formula

​GoDiameter of thin cylindrical strain given volumetric strain Formula

Diameter of thin cylindrical shell given volumetric strain Example

Diameter of thin cylindrical shell given volumetric strain Solution

Diameter of thin cylindrical shell given volumetric strain Formula Elements

Other Formulas to find Diameter of Shell

Other formulas in Stress and Strain category

How to Evaluate Diameter of thin cylindrical shell given volumetric strain?

FAQs on Diameter of thin cylindrical shell given volumetric strain

Variable Name

GoDiameter of cylindrical shell given change in length of cylindrical shell Formula

GoDiameter of thin cylindrical strain given volumetric strain Formula