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 = (εv*2*E*t)/((Pi)*((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 = (εv*2*E*t)/((Pi)*((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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23 Effect of Internal Pressure on Dimension of Thin Cylindrical Shell Calculators

Diameter of cylindrical shell given change in length of cylindrical shell
Go 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))
Length of cylindrical shell given change in length of cylindrical shell
Go Length Of Cylindrical Shell = (Change in Length*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell*Diameter of Shell))*((1/2)-Poisson's Ratio))
Internal fluid pressure given change in length of cylindrical shell
Go Internal Pressure in thin shell = (Change in Length*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Diameter of Shell*Length Of Cylindrical Shell))*((1/2)-Poisson's Ratio))
Internal diameter of thin cylindrical vessel given circumferential strain
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
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))
Internal fluid pressure in thin cylindrical vessel given change in diameter
Go Internal Pressure in thin shell = (Change in Diameter*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/((((Inner Diameter of Cylinder^2)))*(1-(Poisson's Ratio/2)))
Internal fluid pressure in thin cylindrical vessel given longitudinal strain
Go Internal Pressure in thin shell = (Longitudinal Strain*2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell)/((Inner Diameter of Cylinder)*((1/2)-Poisson's Ratio))
Internal diameter of thin cylindrical vessel given longitudinal strain
Go Inner Diameter of Cylinder = (Longitudinal Strain*2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell)/((Internal Pressure in thin shell)*((1/2)-Poisson's Ratio))
Original diameter of vessel given change in diameter
Go Original Diameter = (Change in Diameter*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell))*(1-(Poisson's Ratio/2)))^(1/2)
Length of cylindrical shell given change in volume of cylindrical shell
Go Length Of Cylindrical Shell = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Change in Diameter)
Diameter of thin cylindrical shell given volumetric strain
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))
Internal fluid pressure in shell given volumetric strain
Go Internal Pressure in thin shell = (Volumetric Strain*2*Modulus of Elasticity Of Thin Shell*Thickness Of Thin Shell)/((Diameter of Shell)*((5/2)-Poisson's Ratio))
Longitudinal stress given circumferential strain
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
Go Hoop Stress in Thin shell = (Circumferential strain Thin Shell*Modulus of Elasticity Of Thin Shell)+(Poisson's Ratio*Longitudinal Stress Thick Shell)
Hoop stress in thin cylindrical vessel given Longitudinal strain
Go Hoop Stress in Thin shell = (-(Longitudinal Strain*Modulus of Elasticity Of Thin Shell)+Longitudinal Stress Thick Shell)/(Poisson's Ratio)
Longitudinal stress in thin cylindrical vessel given Longitudinal strain
Go Longitudinal Stress Thick Shell = ((Longitudinal Strain*Modulus of Elasticity Of Thin Shell))+(Poisson's Ratio*Hoop Stress in Thin shell)
Diameter of thin cylindrical strain given volumetric strain
Go Diameter of Shell = 2*Change in Distance/(Volumetric Strain-(Change in Length/Length Of Cylindrical Shell))
Length of thin cylindrical strain given volumetric strain
Go Length Of Cylindrical Shell = Change in Length/(Volumetric Strain-(2*Change in Diameter/Diameter of Shell))
Volume of thin cylindrical shell given circumferential and longitudinal strain
Go Volume of Thin Cylindrical Shell = Change in Volume/((2*Circumferential strain Thin Shell)+Longitudinal Strain)
Original circumference of thin cylindrical vessel given circumferential strain
Go Original Circumference = Change in circumference/Circumferential strain Thin Shell
Original diameter of thin cylindrical vessel given circumferential strain
Go Original Diameter = Change in Diameter/Circumferential strain Thin Shell
Original length of vessel given longitudinal strain
Go Initial Length = Change in Length/Longitudinal Strain
Original volume of cylindrical shell given volumetric strain
Go Original Volume = Change in Volume/Volumetric Strain

Diameter of thin cylindrical shell given volumetric strain 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))
D = (εv*2*E*t)/((Pi)*((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 v), Modulus of Elasticity Of Thin Shell (E), Thickness Of Thin Shell (t), Internal Pressure in thin shell (Pi) & 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 = (εv*2*E*t)/((Pi)*((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 v), Modulus of Elasticity Of Thin Shell (E), Thickness Of Thin Shell (t), Internal Pressure in thin shell (Pi) & 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 2 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))
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