Diameter of thin cylindrical shell given volumetric strain Calculator

✖The Volumetric Strain is the ratio of change in volume to original volume.ⓘ Volumetric Strain [ε_v]			+10% -10%
✖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.ⓘ Modulus of Elasticity Of Thin Shell [E]			+10% -10%
✖Thickness Of Thin Shell is the distance through an object.ⓘ Thickness Of Thin Shell [t]			+10% -10%
✖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.ⓘ Internal Pressure in thin shell [P_i]			+10% -10%
✖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.ⓘ Poisson's Ratio [𝛎]			+10% -10%

✖Diameter of Shell is the maximum width of cylinder in transverse direction.ⓘ Diameter of thin cylindrical shell given volumetric strain [D]

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Diameter of thin cylindrical shell given volumetric strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
D = (ε_v*2*E*t)/((P_i)*((5/2)-𝛎))
This formula uses 6 Variables

Variables Used

Diameter of Shell - (Measured in Meter) - Diameter of Shell is the maximum width of cylinder in transverse direction.
Volumetric Strain - The Volumetric Strain is the ratio of change in volume to original volume.
Modulus of Elasticity Of Thin Shell - (Measured in Pascal) - 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.
Thickness Of Thin Shell - (Measured in Meter) - Thickness Of Thin Shell is the distance through an object.
Internal Pressure in thin shell - (Measured in Pascal) - 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.
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.

STEP 1: Convert Input(s) to Base Unit

Volumetric Strain: 30 --> No Conversion Required
Modulus of Elasticity Of Thin Shell: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Thickness Of Thin Shell: 525 Millimeter --> 0.525 Meter (Check conversion here)
Internal Pressure in thin shell: 14 Megapascal --> 14000000 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = (ε_v*2*E*t)/((P_i)*((5/2)-𝛎)) --> (30*2*10000000*0.525)/((14000000)*((5/2)-0.3))

Evaluating ... ...

D = 10.2272727272727

STEP 3: Convert Result to Output's Unit

10.2272727272727 Meter -->10227.2727272727 Millimeter (Check conversion here)

FINAL ANSWER

10227.2727272727 ≈ 10227.27 Millimeter <-- Diameter of Shell

(Calculation completed in 00.004 seconds)

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< Stress and Strain Calculators

Internal diameter of thin cylindrical vessel given circumferential strain

LaTeX Go Inner Diameter of Cylinder = (Circumferential Strain Thin Shell*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell))*((1/2)-Poisson's Ratio))

Internal fluid pressure given circumferential strain

LaTeX Go Internal Pressure in thin shell = (Circumferential Strain Thin Shell*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Inner Diameter of Cylinder))*((1/2)-Poisson's Ratio))

Longitudinal stress given circumferential strain

LaTeX Go Longitudinal Stress Thick Shell = (Hoop Stress in Thin shell-(Circumferential Strain Thin Shell*Modulus of Elasticity Of Thin Shell))/Poisson's Ratio

Hoop stress given circumferential strain

LaTeX Go Hoop Stress in Thin shell = (Circumferential Strain Thin Shell*Modulus of Elasticity Of Thin Shell)+(Poisson's Ratio*Longitudinal Stress Thick Shell)

< Cylinders And Spheres Calculators

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

LaTeX Go Diameter of Sphere = sqrt((Change in Diameter*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(1-Poisson's Ratio))/(Internal Pressure))

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

LaTeX Go Thickness Of Thin Spherical Shell = ((Internal Pressure*(Diameter of Sphere^2))/(4*Change in Diameter*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio)

Internal fluid pressure given change in diameter of thin spherical shells

LaTeX Go Internal Pressure = (Change in Diameter*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(1-Poisson's Ratio))/(Diameter of Sphere^2)

Diameter of thin spherical shell given strain in any one direction

LaTeX Go Diameter of Sphere = (Strain in thin shell*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(1-Poisson's Ratio))/(Internal Pressure)

Diameter of thin cylindrical shell given volumetric strain Formula

LaTeX Go

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))
D = (ε_v*2*E*t)/((P_i)*((5/2)-𝛎))

What is the relation between lateral strain and longitudinal strain?

Lateral strain is defined as the ratio of decrease in the length of the bar in the perpendicular direction of applied load to that of the original length (gauge length). Poisson's ratio: The ratio of lateral strain to that of the longitudinal strain is termed as Poisson's ratio and it is represented by ϻ or 1/m.

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

Diameter of thin cylindrical shell given volumetric strain calculator 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 calculate 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 calculate Diameter of thin cylindrical shell given volumetric strain using this online calculator? To use this online calculator 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. Here is how the Diameter of thin cylindrical shell given volumetric strain calculation can be explained with given input values -> 1E+7 = (30*2*10000000*0.525)/((14000000)*((5/2)-0.3)).

FAQ

What is Diameter of thin cylindrical shell given volumetric strain?

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 and is represented as D = (ε_v*2*E*t)/((P_i)*((5/2)-𝛎)) or 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)). The Volumetric Strain is the ratio of change in volume to original volume, 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, Thickness Of Thin Shell is the distance through an object, 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 & 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.

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

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 is calculated using 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 calculate Diameter of thin cylindrical shell given volumetric strain, you need 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). With our tool, you need to enter the respective value for Volumetric Strain, Modulus of Elasticity Of Thin Shell, Thickness Of Thin Shell, Internal Pressure in thin shell & Poisson's Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diameter of Shell?

In this formula, Diameter of Shell uses Volumetric Strain, Modulus of Elasticity Of Thin Shell, Thickness Of Thin Shell, Internal Pressure in thin shell & Poisson's Ratio. We can use 3 other way(s) to calculate the same, which is/are as follows -

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))
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))

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