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 = ((Pi*D*Lcylinder)/(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 = ((Pi*D*Lcylinder)/(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 00.020 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 shell material given change in length of cylindrical shell Formula

​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)
E = ((Pi*D*Lcylinder)/(2*t*ΔL))*((1/2)-𝛎)

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 (Pi), Diameter of Shell (D), Length Of Cylindrical Shell (Lcylinder), 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 = ((Pi*D*Lcylinder)/(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 (Pi), Diameter of Shell (D), Length Of Cylindrical Shell (Lcylinder), 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 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/(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))
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