Modulus of elasticity 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%
✖The Volumetric Strain is the ratio of change in volume to original volume.ⓘ Volumetric Strain [ε_v]			+10% -10%
✖Thickness Of Thin Shell is the distance through an object.ⓘ Thickness Of Thin Shell [t]			+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%

✖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 cylindrical shell given volumetric strain [E]

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Modulus of elasticity of thin cylindrical shell given volumetric strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Elasticity Of Thin Shell = (Internal Pressure in thin shell*Diameter of Shell/(2*Volumetric Strain*Thickness Of Thin Shell))*((5/2)-Poisson's Ratio)
E = (P_i*D/(2*ε_v*t))*((5/2)-𝛎)
This formula uses 6 Variables

Variables Used

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.
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.
Volumetric Strain - The Volumetric Strain is the ratio of change in volume to original volume.
Thickness Of Thin Shell - (Measured in Meter) - Thickness Of Thin Shell is the distance through an object.
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)
Volumetric Strain: 30 --> No Conversion Required
Thickness Of Thin Shell: 525 Millimeter --> 0.525 Meter (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (P_i*D/(2*ε_v*t))*((5/2)-𝛎) --> (14000000*2.2/(2*30*0.525))*((5/2)-0.3)

Evaluating ... ...

E = 2151111.11111111

STEP 3: Convert Result to Output's Unit

2151111.11111111 Pascal -->2.15111111111111 Megapascal (Check conversion here)

FINAL ANSWER

2.15111111111111 ≈ 2.151111 Megapascal <-- Modulus of Elasticity Of Thin Shell

(Calculation completed in 00.004 seconds)

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< Modulus of Elasticity Calculators

Modulus of elasticity of shell material given change in length of cylindrical shell

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

Modulus of elasticity of thin cylindrical vessel material given change in diameter

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

Modulus of elasticity of thin cylindrical shell given volumetric strain

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

Modulus of elasticity given circumferential strain

LaTeX Go Modulus of Elasticity Of Thin Shell = (Hoop Stress in Thin shell-(Poisson's Ratio*Longitudinal Stress Thick Shell))/Circumferential Strain Thin Shell

< Modulus of Elasticity Calculators

Modulus of elasticity given change in diameter of thin spherical shells

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

Modulus of elasticity for thin spherical shell given strain and internal fluid pressure

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

Modulus of elasticity given circumferential strain

LaTeX Go Modulus of Elasticity Of Thin Shell = (Hoop Stress in Thin shell-(Poisson's Ratio*Longitudinal Stress Thick Shell))/Circumferential Strain Thin Shell

Modulus of elasticity of thin spherical shell given strain in any one direction

LaTeX Go Modulus of Elasticity Of Thin Shell = (Hoop Stress in Thin shell/Strain in thin shell)*(1-Poisson's Ratio)

Modulus of elasticity of thin cylindrical shell given volumetric strain Formula

LaTeX Go

Modulus of Elasticity Of Thin Shell = (Internal Pressure in thin shell*Diameter of Shell/(2*Volumetric Strain*Thickness Of Thin Shell))*((5/2)-Poisson's Ratio)
E = (P_i*D/(2*ε_v*t))*((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 Modulus of elasticity of thin cylindrical shell given volumetric strain?

Modulus of elasticity of thin cylindrical shell given volumetric strain calculator uses Modulus of Elasticity Of Thin Shell = (Internal Pressure in thin shell*Diameter of Shell/(2*Volumetric Strain*Thickness Of Thin Shell))*((5/2)-Poisson's Ratio) to calculate the Modulus of Elasticity Of Thin Shell, The Modulus of elasticity of thin cylindrical shell given volumetric strain formula is defined as a quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when stress is applied to it. Modulus of Elasticity Of Thin Shell is denoted by E symbol.

How to calculate Modulus of elasticity of thin cylindrical shell given volumetric strain using this online calculator? To use this online calculator for Modulus of elasticity of thin cylindrical shell given volumetric strain, enter Internal Pressure in thin shell (P_i), Diameter of Shell (D), Volumetric Strain (ε_v), Thickness Of Thin Shell (t) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Modulus of elasticity of thin cylindrical shell given volumetric strain calculation can be explained with given input values -> 2.2E-6 = (14000000*2.2/(2*30*0.525))*((5/2)-0.3).

FAQ

What is Modulus of elasticity of thin cylindrical shell given volumetric strain?

The Modulus of elasticity of thin cylindrical shell given volumetric strain formula is defined as a quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when stress is applied to it and is represented as E = (P_i*D/(2*ε_v*t))*((5/2)-𝛎) or Modulus of Elasticity Of Thin Shell = (Internal Pressure in thin shell*Diameter of Shell/(2*Volumetric Strain*Thickness Of Thin Shell))*((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, The Volumetric Strain is the ratio of change in volume to original volume, Thickness Of Thin Shell is the distance through an object & 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 Modulus of elasticity of thin cylindrical shell given volumetric strain?

The Modulus of elasticity of thin cylindrical shell given volumetric strain formula is defined as a quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when stress is applied to it is calculated using Modulus of Elasticity Of Thin Shell = (Internal Pressure in thin shell*Diameter of Shell/(2*Volumetric Strain*Thickness Of Thin Shell))*((5/2)-Poisson's Ratio). To calculate Modulus of elasticity of thin cylindrical shell given volumetric strain, you need Internal Pressure in thin shell (P_i), Diameter of Shell (D), Volumetric Strain (ε_v), Thickness Of Thin Shell (t) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Internal Pressure in thin shell, Diameter of Shell, Volumetric Strain, Thickness 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 Modulus of Elasticity Of Thin Shell?

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

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

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