Thickness of cylindrical shell given change in length of cylindrical shell 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%
✖Change in Length is after the application of force, change in the dimensions of the object.ⓘ Change in Length [ΔL]			+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%

✖Thickness Of Thin Shell is the distance through an object.ⓘ Thickness of cylindrical shell given change in length of cylindrical shell [t]

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Formula

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Thickness of cylindrical shell given change in length of cylindrical shell

Formula

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

Example

`"840mm"=(("14MPa"*"2200mm"*"3000mm")/(2*"1100mm"*"10MPa"))*((1/2)-"0.3")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Change in Length - (Measured in Meter) - Change in Length is after the application of force, change in the dimensions of the 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)
Change in Length: 1100 Millimeter --> 1.1 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

t = ((P_i*D*L_cylinder)/(2*ΔL*E))*((1/2)-𝛎) --> ((14000000*2.2*3)/(2*1.1*10000000))*((1/2)-0.3)

Evaluating ... ...

t = 0.84

STEP 3: Convert Result to Output's Unit

0.84 Meter -->840 Millimeter (Check conversion here)

FINAL ANSWER

840 Millimeter <-- Thickness Of 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 » Thickness » Thickness of cylindrical shell given change in length of cylindrical shell

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National Institute Of Technology (NIT), Hamirpur

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< 5 Thickness Calculators

Thickness of cylindrical shell given change in length of cylindrical shell

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

Thickness of thin cylindrical vessel given circumferential strain

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

Thickness of vessel given change in diameter

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

Thickness of thin cylindrical vessel given longitudinal strain

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

Thickness of thin cylindrical shell given volumetric strain

Go Thickness Of Thin Shell = (Internal Pressure in thin shell*Diameter of Shell/(2*Modulus of Elasticity Of Thin Shell*Volumetric Strain))*((5/2)-Poisson's Ratio)

Thickness of cylindrical shell 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 Thickness of cylindrical shell given change in length of cylindrical shell?

Thickness of cylindrical shell given change in length of cylindrical shell calculator uses Thickness Of Thin Shell = ((Internal Pressure in thin shell*Diameter of Shell*Length Of Cylindrical Shell)/(2*Change in Length*Modulus of Elasticity Of Thin Shell))*((1/2)-Poisson's Ratio) to calculate the Thickness Of Thin Shell, The Thickness of cylindrical shell given change in length of cylindrical shell formula is defined as the thickness of the material of the thin cylindrical shell. Thickness Of Thin Shell is denoted by t symbol.

How to calculate Thickness of cylindrical shell given change in length of cylindrical shell using this online calculator? To use this online calculator for Thickness of cylindrical shell given change in length of cylindrical shell, enter Internal Pressure in thin shell (P_i), Diameter of Shell (D), Length Of Cylindrical Shell (L_cylinder), Change in Length (ΔL), Modulus of Elasticity Of Thin Shell (E) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Thickness of cylindrical shell given change in length of cylindrical shell calculation can be explained with given input values -> 840000 = ((14000000*2.2*3)/(2*1.1*10000000))*((1/2)-0.3).

FAQ

What is Thickness of cylindrical shell given change in length of cylindrical shell?

The Thickness of cylindrical shell given change in length of cylindrical shell formula is defined as the thickness of the material of the thin cylindrical shell and is represented as t = ((P_i*D*L_cylinder)/(2*ΔL*E))*((1/2)-𝛎) or Thickness Of Thin Shell = ((Internal Pressure in thin shell*Diameter of Shell*Length Of Cylindrical Shell)/(2*Change in Length*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, Change in Length is after the application of force, change in the dimensions of the 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 Thickness of cylindrical shell given change in length of cylindrical shell?

The Thickness of cylindrical shell given change in length of cylindrical shell formula is defined as the thickness of the material of the thin cylindrical shell is calculated using Thickness Of Thin Shell = ((Internal Pressure in thin shell*Diameter of Shell*Length Of Cylindrical Shell)/(2*Change in Length*Modulus of Elasticity Of Thin Shell))*((1/2)-Poisson's Ratio). To calculate Thickness of cylindrical shell given change in length of cylindrical shell, you need Internal Pressure in thin shell (P_i), Diameter of Shell (D), Length Of Cylindrical Shell (L_cylinder), Change in Length (ΔL), 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, Change in Length, 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 Thickness Of Thin Shell?

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

Thickness Of Thin Shell = (Internal Pressure in thin shell*Diameter of Shell/(2*Modulus of Elasticity Of Thin Shell*Volumetric Strain))*((5/2)-Poisson's Ratio)
Thickness Of Thin Shell = ((Internal Pressure in thin shell*(Inner Diameter of Cylinder^2))/(2*Change in Diameter*Modulus of Elasticity Of Thin Shell))*(1-(Poisson's Ratio/2))
Thickness Of Thin Shell = ((Internal Pressure in thin shell*Inner Diameter of Cylinder)/(2*Circumferential strain Thin Shell*Modulus of Elasticity Of Thin Shell))*((1/2)-Poisson's Ratio)
Thickness Of Thin Shell = ((Internal Pressure in thin shell*Inner Diameter of Cylinder)/(2*Longitudinal Strain*Modulus of Elasticity Of Thin Shell))*((1/2)-Poisson's Ratio)

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