Modulus of elasticity given circumferential strain Calculator

✖Hoop Stress in Thin shell is the circumferential stress in a cylinder.ⓘ Hoop Stress in Thin shell [σ_θ]			+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%
✖Longitudinal Stress Thick Shell is defined as the stress produced when a pipe is subjected to internal pressure.ⓘ Longitudinal Stress Thick Shell [σ_l]			+10% -10%
✖Circumferential strain Thin Shell represents the change in length.ⓘ Circumferential Strain Thin Shell [e₁]			+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 given circumferential strain [E]

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Modulus of elasticity given circumferential strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Elasticity Of Thin Shell = (Hoop Stress in Thin shell-(Poisson's Ratio*Longitudinal Stress Thick Shell))/Circumferential Strain Thin Shell
E = (σ_θ-(𝛎*σ_l))/e₁
This formula uses 5 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.
Hoop Stress in Thin shell - (Measured in Pascal) - Hoop Stress in Thin shell is the circumferential stress in a cylinder.
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.
Longitudinal Stress Thick Shell - (Measured in Pascal) - Longitudinal Stress Thick Shell is defined as the stress produced when a pipe is subjected to internal pressure.
Circumferential Strain Thin Shell - Circumferential strain Thin Shell represents the change in length.

STEP 1: Convert Input(s) to Base Unit

Hoop Stress in Thin shell: 25.03 Megapascal --> 25030000 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
Longitudinal Stress Thick Shell: 20 Megapascal --> 20000000 Pascal (Check conversion here)
Circumferential Strain Thin Shell: 2.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (σ_θ-(𝛎*σ_l))/e₁ --> (25030000-(0.3*20000000))/2.5

Evaluating ... ...

E = 7612000

STEP 3: Convert Result to Output's Unit

7612000 Pascal -->7.612 Megapascal (Check conversion here)

FINAL ANSWER

7.612 Megapascal <-- Modulus of Elasticity Of Thin Shell

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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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 given circumferential strain Formula

LaTeX Go

Modulus of Elasticity Of Thin Shell = (Hoop Stress in Thin shell-(Poisson's Ratio*Longitudinal Stress Thick Shell))/Circumferential Strain Thin Shell
E = (σ_θ-(𝛎*σ_l))/e₁

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 Modulus of elasticity given circumferential strain?

Modulus of elasticity given circumferential strain calculator uses Modulus of Elasticity Of Thin Shell = (Hoop Stress in Thin shell-(Poisson's Ratio*Longitudinal Stress Thick Shell))/Circumferential Strain Thin Shell to calculate the Modulus of Elasticity Of Thin Shell, Modulus of elasticity given circumferential strain is the measure of the stiffness of a material. Modulus of Elasticity Of Thin Shell is denoted by E symbol.

How to calculate Modulus of elasticity given circumferential strain using this online calculator? To use this online calculator for Modulus of elasticity given circumferential strain, enter Hoop Stress in Thin shell (σ_θ), Poisson's Ratio (𝛎), Longitudinal Stress Thick Shell (σ_l) & Circumferential Strain Thin Shell (e₁) and hit the calculate button. Here is how the Modulus of elasticity given circumferential strain calculation can be explained with given input values -> 1E-5 = (25030000-(0.3*20000000))/2.5.

FAQ

What is Modulus of elasticity given circumferential strain?

Modulus of elasticity given circumferential strain is the measure of the stiffness of a material and is represented as E = (σ_θ-(𝛎*σ_l))/e₁ or Modulus of Elasticity Of Thin Shell = (Hoop Stress in Thin shell-(Poisson's Ratio*Longitudinal Stress Thick Shell))/Circumferential Strain Thin Shell. Hoop Stress in Thin shell is the circumferential stress in a cylinder, 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, Longitudinal Stress Thick Shell is defined as the stress produced when a pipe is subjected to internal pressure & Circumferential strain Thin Shell represents the change in length.

How to calculate Modulus of elasticity given circumferential strain?

Modulus of elasticity given circumferential strain is the measure of the stiffness of a material is calculated using Modulus of Elasticity Of Thin Shell = (Hoop Stress in Thin shell-(Poisson's Ratio*Longitudinal Stress Thick Shell))/Circumferential Strain Thin Shell. To calculate Modulus of elasticity given circumferential strain, you need Hoop Stress in Thin shell (σ_θ), Poisson's Ratio (𝛎), Longitudinal Stress Thick Shell (σ_l) & Circumferential Strain Thin Shell (e₁). With our tool, you need to enter the respective value for Hoop Stress in Thin shell, Poisson's Ratio, Longitudinal Stress Thick Shell & Circumferential Strain Thin Shell 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 Hoop Stress in Thin shell, Poisson's Ratio, Longitudinal Stress Thick Shell & Circumferential Strain Thin Shell. We can use 3 other way(s) to calculate the same, which is/are as follows -

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*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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