Length of cylindrical shell given change in length of cylindrical shell Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Lcylinder = (ΔL*(2*t*E))/(((Pi*D))*((1/2)-𝛎))
This formula uses 7 Variables
Variables Used
Length Of Cylindrical Shell - (Measured in Meter) - Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.
Change in Length - (Measured in Meter) - Change in Length is after the application of force, change in the dimensions of the object.
Thickness Of Thin Shell - (Measured in Meter) - Thickness Of Thin Shell is the distance through an object.
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.
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.
Diameter of Shell - (Measured in Meter) - Diameter of Shell is the maximum width of cylinder in transverse direction.
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
Change in Length: 1100 Millimeter --> 1.1 Meter (Check conversion here)
Thickness Of Thin Shell: 525 Millimeter --> 0.525 Meter (Check conversion here)
Modulus of Elasticity Of Thin Shell: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Internal Pressure in thin shell: 14 Megapascal --> 14000000 Pascal (Check conversion here)
Diameter of Shell: 2200 Millimeter --> 2.2 Meter (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lcylinder = (ΔL*(2*t*E))/(((Pi*D))*((1/2)-𝛎)) --> (1.1*(2*0.525*10000000))/(((14000000*2.2))*((1/2)-0.3))
Evaluating ... ...
Lcylinder = 1.875
STEP 3: Convert Result to Output's Unit
1.875 Meter -->1875 Millimeter (Check conversion here)
FINAL ANSWER
1875 Millimeter <-- Length Of Cylindrical Shell
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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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

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

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))
Lcylinder = (ΔL*(2*t*E))/(((Pi*D))*((1/2)-𝛎))

What is volumetric stress?

When the deforming force or applied force acts from all dimensions resulting in the change of volume of the object then such stress is called volumetric stress or Bulk stress. In short, when the volume of the body changes due to the deforming force it is termed Volume stress.

How to Calculate Length of cylindrical shell given change in length of cylindrical shell?

Length of cylindrical shell given change in length of cylindrical shell calculator uses 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)) to calculate the Length Of Cylindrical Shell, The Length of cylindrical shell given change in length of cylindrical shell formula is defined as the measurement or extent of something from end to end. Length Of Cylindrical Shell is denoted by Lcylinder symbol.

How to calculate Length of cylindrical shell given change in length of cylindrical shell using this online calculator? To use this online calculator for Length of cylindrical shell given change in length of cylindrical shell, enter Change in Length (ΔL), Thickness Of Thin Shell (t), Modulus of Elasticity Of Thin Shell (E), Internal Pressure in thin shell (Pi), Diameter of Shell (D) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Length of cylindrical shell given change in length of cylindrical shell calculation can be explained with given input values -> 1.9E+6 = (1.1*(2*0.525*10000000))/(((14000000*2.2))*((1/2)-0.3)).

FAQ

What is Length of cylindrical shell given change in length of cylindrical shell?
The Length of cylindrical shell given change in length of cylindrical shell formula is defined as the measurement or extent of something from end to end and is represented as Lcylinder = (ΔL*(2*t*E))/(((Pi*D))*((1/2)-𝛎)) or 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)). Change in Length is after the application of force, change in the dimensions of the object, Thickness Of Thin Shell is the distance through an object, 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, 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, Diameter of Shell is the maximum width of cylinder in transverse direction & 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 Length of cylindrical shell given change in length of cylindrical shell?
The Length of cylindrical shell given change in length of cylindrical shell formula is defined as the measurement or extent of something from end to end is calculated using 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)). To calculate Length of cylindrical shell given change in length of cylindrical shell, you need Change in Length (ΔL), Thickness Of Thin Shell (t), Modulus of Elasticity Of Thin Shell (E), Internal Pressure in thin shell (Pi), Diameter of Shell (D) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Change in Length, Thickness Of Thin Shell, Modulus of Elasticity Of Thin Shell, Internal Pressure in thin shell, Diameter of 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 Length Of Cylindrical Shell?
In this formula, Length Of Cylindrical Shell uses Change in Length, Thickness Of Thin Shell, Modulus of Elasticity Of Thin Shell, Internal Pressure in thin shell, Diameter of Shell & Poisson's Ratio. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Length Of Cylindrical Shell = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Change in Diameter)
  • Length Of Cylindrical Shell = Change in Length/(Volumetric Strain-(2*Change in Diameter/Diameter of Shell))
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