Thickness of thin cylindrical vessel given longitudinal strain 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%
✖Inner Diameter of Cylinder is the diameter of the inside of the cylinder.ⓘ Inner Diameter of Cylinder [D_i]			+10% -10%
✖The Longitudinal Strain is ratio of change in length to original length.ⓘ Longitudinal Strain [ε_longitudinal]			+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 thin cylindrical vessel given longitudinal strain [t]

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Thickness of thin cylindrical vessel given longitudinal strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
t = ((P_i*D_i)/(2*ε_longitudinal*E))*((1/2)-𝛎)
This formula uses 6 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.
Inner Diameter of Cylinder - (Measured in Meter) - Inner Diameter of Cylinder is the diameter of the inside of the cylinder.
Longitudinal Strain - The Longitudinal Strain is ratio of change in length to original length.
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)
Inner Diameter of Cylinder: 50 Millimeter --> 0.05 Meter (Check conversion here)
Longitudinal Strain: 40 --> No Conversion Required
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_i)/(2*ε_longitudinal*E))*((1/2)-𝛎) --> ((14000000*0.05)/(2*40*10000000))*((1/2)-0.3)

Evaluating ... ...

t = 0.000175

STEP 3: Convert Result to Output's Unit

0.000175 Meter -->0.175 Millimeter (Check conversion here)

FINAL ANSWER

0.175 Millimeter <-- Thickness Of Thin Shell

(Calculation completed in 00.020 seconds)

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< Thickness Calculators

Thickness of cylindrical shell given change in length of cylindrical shell

LaTeX 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

LaTeX 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

LaTeX 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 shell given volumetric strain

LaTeX 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)

< Vessel Calculators

Internal diameter of thin cylindrical vessel given circumferential strain

LaTeX 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 in thin cylindrical vessel given change in diameter

LaTeX 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

LaTeX 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

LaTeX 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))

Thickness of thin cylindrical vessel given longitudinal strain Formula

LaTeX Go

What is meant by hoop stress?

The hoop stress, or tangential stress, is the stress around the circumference of the pipe due to a pressure gradient. The maximum hoop stress always occurs at the inner radius or the outer radius depending on the direction of the pressure gradient.

How to Calculate Thickness of thin cylindrical vessel given longitudinal strain?

Thickness of thin cylindrical vessel given longitudinal strain calculator uses 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) to calculate the Thickness Of Thin Shell, The Thickness of thin cylindrical vessel given longitudinal strain formula is defined as the thickness of a thin cylindrical vessel. Thickness Of Thin Shell is denoted by t symbol.

How to calculate Thickness of thin cylindrical vessel given longitudinal strain using this online calculator? To use this online calculator for Thickness of thin cylindrical vessel given longitudinal strain, enter Internal Pressure in thin shell (P_i), Inner Diameter of Cylinder (D_i), Longitudinal Strain (ε_longitudinal), Modulus of Elasticity Of Thin Shell (E) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Thickness of thin cylindrical vessel given longitudinal strain calculation can be explained with given input values -> 175 = ((14000000*0.05)/(2*40*10000000))*((1/2)-0.3).

FAQ

What is Thickness of thin cylindrical vessel given longitudinal strain?

The Thickness of thin cylindrical vessel given longitudinal strain formula is defined as the thickness of a thin cylindrical vessel and is represented as t = ((P_i*D_i)/(2*ε_longitudinal*E))*((1/2)-𝛎) or 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). 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, Inner Diameter of Cylinder is the diameter of the inside of the cylinder, The Longitudinal Strain is ratio of change in length to original length, 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 thin cylindrical vessel given longitudinal strain?

The Thickness of thin cylindrical vessel given longitudinal strain formula is defined as the thickness of a thin cylindrical vessel is calculated using 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). To calculate Thickness of thin cylindrical vessel given longitudinal strain, you need Internal Pressure in thin shell (P_i), Inner Diameter of Cylinder (D_i), Longitudinal Strain (ε_longitudinal), 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, Inner Diameter of Cylinder, Longitudinal Strain, 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, Inner Diameter of Cylinder, Longitudinal Strain, 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 -

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*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 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))

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