Change in length of thin cylindrical shell given internal fluid pressure Calculator

✖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%
✖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%
✖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%
✖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%

✖Change in Length is after the application of force, change in the dimensions of the object.ⓘ Change in length of thin cylindrical shell given internal fluid pressure [ΔL]

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Change in length of thin cylindrical shell given internal fluid pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Change in Length = ((Internal Pressure in thin shell*Diameter of Shell*Length Of Cylindrical Shell)/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*((1/2)-Poisson's Ratio)
ΔL = ((P_i*D*L_cylinder)/(2*t*E))*((1/2)-𝛎)
This formula uses 7 Variables

Variables Used

Change in Length - (Measured in Meter) - Change in Length is after the application of force, change in the dimensions of the 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.
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.
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.
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

Internal Pressure in thin shell: 14 Megapascal --> 14000000 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)
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)
Poisson's Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔL = ((P_i*D*L_cylinder)/(2*t*E))*((1/2)-𝛎) --> ((14000000*2.2*3)/(2*0.525*10000000))*((1/2)-0.3)

Evaluating ... ...

ΔL = 1.76

STEP 3: Convert Result to Output's Unit

1.76 Meter -->1760 Millimeter (Check conversion here)

FINAL ANSWER

1760 Millimeter <-- Change in Length

(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 » Mechanical » Change in Dimensions » Change in length of thin cylindrical shell given internal fluid pressure

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National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< Change in Dimensions Calculators

Change in diameter of vessel given internal fluid pressure

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

Change in diameter of cylindrical shell given change in volume of cylindrical shell

LaTeX Go Change in Diameter = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Length Of Cylindrical Shell)

Change in diameter in thin cylindrical strain given volumetric strain

LaTeX Go Change in Diameter = (Volumetric Strain-(Change in Length/Length Of Cylindrical Shell))*Diameter of Shell/2

Change in circumference of vessel due to pressure given circumferential strain

LaTeX Go Change in Circumference = Original Circumference*Circumferential Strain Thin Shell

< Change in Dimension Calculators

Change in diameter of vessel given internal fluid pressure

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

Change in diameter of cylindrical shell given change in volume of cylindrical shell

LaTeX Go Change in Diameter = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Length Of Cylindrical Shell)

Change in diameter in thin cylindrical strain given volumetric strain

LaTeX Go Change in Diameter = (Volumetric Strain-(Change in Length/Length Of Cylindrical Shell))*Diameter of Shell/2

Change in circumference of vessel due to pressure given circumferential strain

LaTeX Go Change in Circumference = Original Circumference*Circumferential Strain Thin Shell

Change in length of thin cylindrical shell given internal fluid pressure Formula

LaTeX Go

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 Change in length of thin cylindrical shell given internal fluid pressure?

Change in length of thin cylindrical shell given internal fluid pressure calculator uses Change in Length = ((Internal Pressure in thin shell*Diameter of Shell*Length Of Cylindrical Shell)/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*((1/2)-Poisson's Ratio) to calculate the Change in Length, The Change in length of thin cylindrical shell given internal fluid pressure formula is defined as the change that occurred in the thin cylindrical shell. Change in Length is denoted by ΔL symbol.

How to calculate Change in length of thin cylindrical shell given internal fluid pressure using this online calculator? To use this online calculator for Change in length of thin cylindrical shell given internal fluid pressure, enter Internal Pressure in thin shell (P_i), Diameter of Shell (D), Length Of Cylindrical Shell (L_cylinder), Thickness Of Thin Shell (t), Modulus of Elasticity Of Thin Shell (E) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Change in length of thin cylindrical shell given internal fluid pressure calculation can be explained with given input values -> 1.8E+6 = ((14000000*2.2*3)/(2*0.525*10000000))*((1/2)-0.3).

FAQ

What is Change in length of thin cylindrical shell given internal fluid pressure?

The Change in length of thin cylindrical shell given internal fluid pressure formula is defined as the change that occurred in the thin cylindrical shell and is represented as ΔL = ((P_i*D*L_cylinder)/(2*t*E))*((1/2)-𝛎) or Change in Length = ((Internal Pressure in thin shell*Diameter of Shell*Length Of Cylindrical Shell)/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*((1/2)-Poisson's Ratio). 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, Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end, 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 & 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 Change in length of thin cylindrical shell given internal fluid pressure?

The Change in length of thin cylindrical shell given internal fluid pressure formula is defined as the change that occurred in the thin cylindrical shell is calculated using Change in Length = ((Internal Pressure in thin shell*Diameter of Shell*Length Of Cylindrical Shell)/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*((1/2)-Poisson's Ratio). To calculate Change in length of thin cylindrical shell given internal fluid pressure, you need Internal Pressure in thin shell (P_i), Diameter of Shell (D), Length Of Cylindrical Shell (L_cylinder), Thickness Of Thin Shell (t), Modulus of Elasticity Of Thin Shell (E) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Internal Pressure in thin shell, Diameter of Shell, Length Of Cylindrical Shell, Thickness Of Thin Shell, Modulus of Elasticity Of 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 Change in Length?

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

Change in Length = (Volumetric Strain-(2*Change in Diameter/Diameter of Shell))*Length Of Cylindrical Shell
Change in Length = ((Change in Volume/(pi/4))-(2*Diameter of Shell*Length Of Cylindrical Shell*Change in Diameter))/((Diameter of Shell^2))
Change in Length = Longitudinal Strain*Original Length

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