Thickness of thin cylindrical shell given volumetric 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%
✖Diameter of Shell is the maximum width of cylinder in transverse direction.ⓘ Diameter of Shell [D]			+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%
✖The Volumetric Strain is the ratio of change in volume to original volume.ⓘ Volumetric Strain [ε_v]			+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 shell given volumetric strain [t]

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Thickness of thin cylindrical shell given volumetric strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
t = (P_i*D/(2*E*ε_v))*((5/2)-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.
Diameter of Shell - (Measured in Meter) - Diameter of Shell is the maximum width of cylinder in transverse direction.
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.
Volumetric Strain - The Volumetric Strain is the ratio of change in volume to original volume.
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)
Modulus of Elasticity Of Thin Shell: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Volumetric Strain: 30 --> No Conversion Required
Poisson's Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = (P_i*D/(2*E*ε_v))*((5/2)-𝛎) --> (14000000*2.2/(2*10000000*30))*((5/2)-0.3)

Evaluating ... ...

t = 0.112933333333333

STEP 3: Convert Result to Output's Unit

0.112933333333333 Meter -->112.933333333333 Millimeter (Check conversion here)

FINAL ANSWER

112.933333333333 ≈ 112.9333 Millimeter <-- Thickness Of Thin Shell

(Calculation completed in 00.004 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)

< Cylinders And Spheres Calculators

Diameter of spherical shell given change in diameter of thin spherical shells

LaTeX Go Diameter of Sphere = sqrt((Change in Diameter*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(1-Poisson's Ratio))/(Internal Pressure))

Thickness of spherical shell given change in diameter of thin spherical shells

LaTeX Go Thickness Of Thin Spherical Shell = ((Internal Pressure*(Diameter of Sphere^2))/(4*Change in Diameter*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio)

Internal fluid pressure given change in diameter of thin spherical shells

LaTeX Go Internal Pressure = (Change in Diameter*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(1-Poisson's Ratio))/(Diameter of Sphere^2)

Diameter of thin spherical shell given strain in any one direction

LaTeX Go Diameter of Sphere = (Strain in thin shell*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(1-Poisson's Ratio))/(Internal Pressure)

Thickness of thin cylindrical shell given volumetric strain Formula

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)
t = (P_i*D/(2*E*ε_v))*((5/2)-𝛎)

What is the relation between lateral strain and longitudinal strain?

Lateral strain is defined as the ratio of decrease in the length of the bar in the perpendicular direction of applied load to that of the original length (gauge length). Poisson's ratio is the ratio of lateral strain to that of the longitudinal strain is termed Poisson's ratio and it is represented by ϻ or 1/m.

How to Calculate Thickness of thin cylindrical shell given volumetric strain?

Thickness of thin cylindrical shell given volumetric strain calculator uses 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) to calculate the Thickness Of Thin Shell, The Thickness of thin cylindrical shell given volumetric strain formula is defined as the distance through an object, as distinct from width or height. Thickness Of Thin Shell is denoted by t symbol.

How to calculate Thickness of thin cylindrical shell given volumetric strain using this online calculator? To use this online calculator for Thickness of thin cylindrical shell given volumetric strain, enter Internal Pressure in thin shell (P_i), Diameter of Shell (D), Modulus of Elasticity Of Thin Shell (E), Volumetric Strain (ε_v) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Thickness of thin cylindrical shell given volumetric strain calculation can be explained with given input values -> 112933.3 = (14000000*2.2/(2*10000000*30))*((5/2)-0.3).

FAQ

What is Thickness of thin cylindrical shell given volumetric strain?

The Thickness of thin cylindrical shell given volumetric strain formula is defined as the distance through an object, as distinct from width or height and is represented as t = (P_i*D/(2*E*ε_v))*((5/2)-𝛎) or 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). 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, 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, The Volumetric Strain is the ratio of change in volume to original volume & 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 shell given volumetric strain?

The Thickness of thin cylindrical shell given volumetric strain formula is defined as the distance through an object, as distinct from width or height is calculated using 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). To calculate Thickness of thin cylindrical shell given volumetric strain, you need Internal Pressure in thin shell (P_i), Diameter of Shell (D), Modulus of Elasticity Of Thin Shell (E), Volumetric Strain (ε_v) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Internal Pressure in thin shell, Diameter of Shell, Modulus of Elasticity Of Thin Shell, Volumetric Strain & 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, Modulus of Elasticity Of Thin Shell, Volumetric Strain & 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*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))
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)

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