Modulus of elasticity of shell material 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%
✖Thickness Of Thin Shell is the distance through an object.ⓘ Thickness Of Thin Shell [t]			+10% -10%
✖Change in Length is after the application of force, change in the dimensions of the object.ⓘ Change in Length [ΔL]			+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 shell material given change in length of cylindrical shell [E]

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

Formula

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

Example

`"16MPa"=(("14MPa"*"2200mm"*"3000mm")/(2*"525mm"*"1100mm"))*((1/2)-"0.3")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
E = ((P_i*D*L_cylinder)/(2*t*ΔL))*((1/2)-𝛎)
This formula uses 7 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.
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.
Change in Length - (Measured in Meter) - Change in Length is after the application of force, change in the dimensions of the 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)
Length Of Cylindrical Shell: 3000 Millimeter --> 3 Meter (Check conversion here)
Thickness Of Thin Shell: 525 Millimeter --> 0.525 Meter (Check conversion here)
Change in Length: 1100 Millimeter --> 1.1 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*L_cylinder)/(2*t*ΔL))*((1/2)-𝛎) --> ((14000000*2.2*3)/(2*0.525*1.1))*((1/2)-0.3)

Evaluating ... ...

E = 16000000

STEP 3: Convert Result to Output's Unit

16000000 Pascal -->16 Megapascal (Check conversion here)

FINAL ANSWER

16 Megapascal <-- Modulus of Elasticity Of Thin Shell

(Calculation completed in 00.004 seconds)

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< 7 Modulus of Elasticity Calculators

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

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 vessel given circumferential strain

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

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

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 vessel material given internal pressure

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

Modulus of elasticity of thin cylindrical shell given volumetric strain

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

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 vessel material given Longitudinal strain

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

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

Modulus of elasticity of shell material given change in length of cylindrical shell calculator uses 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) to calculate the Modulus of Elasticity Of Thin Shell, The Modulus of elasticity of shell material given change in length of cylindrical shell 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 shell material given change in length of cylindrical shell using this online calculator? To use this online calculator for Modulus of elasticity of shell material 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), Thickness Of Thin Shell (t), Change in Length (ΔL) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Modulus of elasticity of shell material given change in length of cylindrical shell calculation can be explained with given input values -> 1.6E-5 = ((14000000*2.2*3)/(2*0.525*1.1))*((1/2)-0.3).

FAQ

What is Modulus of elasticity of shell material given change in length of cylindrical shell?

The Modulus of elasticity of shell material given change in length of cylindrical shell 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*L_cylinder)/(2*t*ΔL))*((1/2)-𝛎) or 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). 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, Change in Length is after the application of force, change in the dimensions of the 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 shell material given change in length of cylindrical shell?

The Modulus of elasticity of shell material given change in length of cylindrical shell 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*Length Of Cylindrical Shell)/(2*Thickness Of Thin Shell*Change in Length))*((1/2)-Poisson's Ratio). To calculate Modulus of elasticity of shell material 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), Thickness Of Thin Shell (t), Change in Length (ΔL) & 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, Change in Length & 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, Length Of Cylindrical Shell, Thickness Of Thin Shell, Change in Length & Poisson's Ratio. We can use 6 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/(2*Volumetric Strain*Thickness Of Thin Shell))*((5/2)-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))
Modulus of Elasticity Of Thin Shell = ((Internal Pressure in thin shell*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell*Circumferential strain Thin Shell))*((1/2)-Poisson's Ratio)
Modulus of Elasticity Of Thin Shell = ((Internal Pressure in thin shell*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell*Longitudinal Strain))*((1/2)-Poisson's Ratio)
Modulus of Elasticity Of Thin Shell = (Longitudinal Stress Thick Shell-(Poisson's Ratio*Hoop Stress in Thin shell))/Longitudinal Strain

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