Internal fluid pressure given change in length of cylindrical shell Calculator

✖Change in Length is after the application of force, change in the dimensions of the object.ⓘ Change in Length [ΔL]			+10% -10%
✖Thickness Of Thin Shell is the distance through an object.ⓘ Thickness Of Thin Shell [t]			+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%
✖Diameter of Shell is the maximum width of cylinder in transverse direction.ⓘ Diameter of Shell [D]			+10% -10%
✖Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.ⓘ Length Of Cylindrical Shell [L_cylinder]			+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%

✖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 fluid pressure given change in length of cylindrical shell [P_i]

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Formula

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Internal fluid pressure given change in length of cylindrical shell

Formula

`"P"_{"i"} = ("ΔL"*(2*"t"*"E"))/((("D"*"L"_{"cylinder"}))*((1/2)-"𝛎"))`

Example

`"8.75MPa"=("1100mm"*(2*"525mm"*"10MPa"))/((("2200mm"*"3000mm"))*((1/2)-"0.3"))`

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Internal fluid pressure given change in length of cylindrical shell Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
P_i = (ΔL*(2*t*E))/(((D*L_cylinder))*((1/2)-𝛎))
This formula uses 7 Variables

Variables Used

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.
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.
Diameter of Shell - (Measured in Meter) - Diameter of Shell is the maximum width of cylinder in transverse direction.
Length Of Cylindrical Shell - (Measured in Meter) - Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.
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)
Diameter of Shell: 2200 Millimeter --> 2.2 Meter (Check conversion here)
Length Of Cylindrical Shell: 3000 Millimeter --> 3 Meter (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_i = (ΔL*(2*t*E))/(((D*L_cylinder))*((1/2)-𝛎)) --> (1.1*(2*0.525*10000000))/(((2.2*3))*((1/2)-0.3))

Evaluating ... ...

P_i = 8750000

STEP 3: Convert Result to Output's Unit

8750000 Pascal -->8.75 Megapascal (Check conversion here)

FINAL ANSWER

8.75 Megapascal <-- Internal Pressure in thin shell

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Thin Cylinders And Spheres » Effect of Internal Pressure on Dimension of Thin Cylindrical Shell » Internal fluid pressure given change in length of cylindrical shell

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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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

Internal fluid pressure given change in length of cylindrical shell Formula

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 Internal fluid pressure given change in length of cylindrical shell?

Internal fluid pressure given change in length of cylindrical shell calculator uses 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)) to calculate the Internal Pressure in thin shell, The Internal fluid pressure given change in length of cylindrical shell formula is defined as a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature. Internal Pressure in thin shell is denoted by P_i symbol.

How to calculate Internal fluid pressure given change in length of cylindrical shell using this online calculator? To use this online calculator for Internal fluid pressure given change in length of cylindrical shell, enter Change in Length (ΔL), Thickness Of Thin Shell (t), Modulus of Elasticity Of Thin Shell (E), Diameter of Shell (D), Length Of Cylindrical Shell (L_cylinder) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Internal fluid pressure given change in length of cylindrical shell calculation can be explained with given input values -> 8.8E-6 = (1.1*(2*0.525*10000000))/(((2.2*3))*((1/2)-0.3)).

FAQ

What is Internal fluid pressure given change in length of cylindrical shell?

The Internal fluid pressure given change in length of cylindrical shell formula is defined as a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature and is represented as P_i = (ΔL*(2*t*E))/(((D*L_cylinder))*((1/2)-𝛎)) or 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)). 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, Diameter of Shell is the maximum width of cylinder in transverse direction, Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end & 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 Internal fluid pressure given change in length of cylindrical shell?

The Internal fluid pressure given change in length of cylindrical shell formula is defined as a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature is calculated using 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)). To calculate Internal fluid pressure 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), Diameter of Shell (D), Length Of Cylindrical Shell (L_cylinder) & 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, Diameter of Shell, Length Of Cylindrical 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 Internal Pressure in thin shell?

In this formula, Internal Pressure in thin shell uses Change in Length, Thickness Of Thin Shell, Modulus of Elasticity Of Thin Shell, Diameter of Shell, Length Of Cylindrical Shell & Poisson's Ratio. We can use 4 other way(s) to calculate the same, which is/are as follows -

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 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 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 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))

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