Compressive stress given circumferential strain in thick cylindrical shell Calculator

✖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%
✖Hoop Stress on thick shell is the circumferential stress in a cylinder.ⓘ Hoop Stress on thick shell [σ_θ]			+10% -10%
✖Circumferential strain represents the change in length.ⓘ Circumferential Strain [e₁]			+10% -10%
✖Modulus of Elasticity Of Thick 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 Thick Shell [E]			+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%

✖Compressive Stress Thick Shell is the force that is responsible for the deformation of the material such that the volume of the material reduces.ⓘ Compressive stress given circumferential strain in thick cylindrical shell [σ_c]

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Compressive stress given circumferential strain in thick cylindrical shell Solution

STEP 0: Pre-Calculation Summary

Formula Used

Compressive Stress Thick Shell = Longitudinal Stress Thick Shell-((Hoop Stress on thick shell-(Circumferential Strain*Modulus of Elasticity Of Thick Shell))/(Poisson's Ratio))
σ_c = σ_l-((σ_θ-(e₁*E))/(𝛎))
This formula uses 6 Variables

Variables Used

Compressive Stress Thick Shell - (Measured in Pascal) - Compressive Stress Thick Shell is the force that is responsible for the deformation of the material such that the volume of the material reduces.
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.
Hoop Stress on thick shell - (Measured in Pascal) - Hoop Stress on thick shell is the circumferential stress in a cylinder.
Circumferential Strain - Circumferential strain represents the change in length.
Modulus of Elasticity Of Thick Shell - (Measured in Pascal) - Modulus of Elasticity Of Thick Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.
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

Longitudinal Stress Thick Shell: 0.08 Megapascal --> 80000 Pascal (Check conversion here)
Hoop Stress on thick shell: 0.002 Megapascal --> 2000 Pascal (Check conversion here)
Circumferential Strain: 2.5 --> No Conversion Required
Modulus of Elasticity Of Thick Shell: 2.6 Megapascal --> 2600000 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_c = σ_l-((σ_θ-(e₁*E))/(𝛎)) --> 80000-((2000-(2.5*2600000))/(0.3))

Evaluating ... ...

σ_c = 21740000

STEP 3: Convert Result to Output's Unit

21740000 Pascal -->21.74 Megapascal (Check conversion here)

FINAL ANSWER

21.74 Megapascal <-- Compressive Stress Thick Shell

(Calculation completed in 00.004 seconds)

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< Stresses in Thick Cylindrical Shell Calculators

Longitudinal stress given circumferential strain in thick cylindrical shell

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

Compressive stress given circumferential strain in thick cylindrical shell

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

Circumferential strain given stresses on cylindrical shell and Poisson's ratio

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

Circumferential stress given circumferential strain in thick cylindrical shell

LaTeX Go Hoop Stress on thick shell = (Circumferential Strain*Modulus of Elasticity Of Thick Shell)+(Poisson's Ratio*(Longitudinal Stress Thick Shell-Compressive Stress Thick Shell))

Compressive stress given circumferential strain in thick cylindrical shell Formula

LaTeX Go

What is the strain in physics?

Strain is simply the measure of how much an object is stretched or deformed. A strain occurs when force is applied to an object. Strain deals mostly with the change in length of the object.

How to Calculate Compressive stress given circumferential strain in thick cylindrical shell?

Compressive stress given circumferential strain in thick cylindrical shell calculator uses Compressive Stress Thick Shell = Longitudinal Stress Thick Shell-((Hoop Stress on thick shell-(Circumferential Strain*Modulus of Elasticity Of Thick Shell))/(Poisson's Ratio)) to calculate the Compressive Stress Thick Shell, The Compressive stress given circumferential strain in thick cylindrical shell formula is defined as the force that is responsible for the deformation of the material such that the volume of the material reduces. Compressive Stress Thick Shell is denoted by σ_c symbol.

How to calculate Compressive stress given circumferential strain in thick cylindrical shell using this online calculator? To use this online calculator for Compressive stress given circumferential strain in thick cylindrical shell, enter Longitudinal Stress Thick Shell (σ_l), Hoop Stress on thick shell (σ_θ), Circumferential Strain (e₁), Modulus of Elasticity Of Thick Shell (E) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Compressive stress given circumferential strain in thick cylindrical shell calculation can be explained with given input values -> 2.2E-5 = 80000-((2000-(2.5*2600000))/(0.3)).

FAQ

What is Compressive stress given circumferential strain in thick cylindrical shell?

The Compressive stress given circumferential strain in thick cylindrical shell formula is defined as the force that is responsible for the deformation of the material such that the volume of the material reduces and is represented as σ_c = σ_l-((σ_θ-(e₁*E))/(𝛎)) or Compressive Stress Thick Shell = Longitudinal Stress Thick Shell-((Hoop Stress on thick shell-(Circumferential Strain*Modulus of Elasticity Of Thick Shell))/(Poisson's Ratio)). Longitudinal Stress Thick Shell is defined as the stress produced when a pipe is subjected to internal pressure, Hoop Stress on thick shell is the circumferential stress in a cylinder, Circumferential strain represents the change in length, Modulus of Elasticity Of Thick Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it & 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 Compressive stress given circumferential strain in thick cylindrical shell?

The Compressive stress given circumferential strain in thick cylindrical shell formula is defined as the force that is responsible for the deformation of the material such that the volume of the material reduces is calculated using Compressive Stress Thick Shell = Longitudinal Stress Thick Shell-((Hoop Stress on thick shell-(Circumferential Strain*Modulus of Elasticity Of Thick Shell))/(Poisson's Ratio)). To calculate Compressive stress given circumferential strain in thick cylindrical shell, you need Longitudinal Stress Thick Shell (σ_l), Hoop Stress on thick shell (σ_θ), Circumferential Strain (e₁), Modulus of Elasticity Of Thick Shell (E) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Longitudinal Stress Thick Shell, Hoop Stress on thick shell, Circumferential Strain, Modulus of Elasticity Of Thick 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 Compressive Stress Thick Shell?

In this formula, Compressive Stress Thick Shell uses Longitudinal Stress Thick Shell, Hoop Stress on thick shell, Circumferential Strain, Modulus of Elasticity Of Thick Shell & Poisson's Ratio. We can use 3 other way(s) to calculate the same, which is/are as follows -

Compressive Stress Thick Shell = Hoop Stress on thick shell-((Longitudinal Stress Thick Shell-(Longitudinal Strain*Modulus of Elasticity Of Thick Shell))/Poisson's Ratio)
Compressive Stress Thick Shell = -(Strain*Modulus of Elasticity Of Thick Shell)-(Poisson's Ratio*(Hoop Stress on thick shell+Longitudinal Stress Thick Shell))
Compressive Stress Thick Shell = Longitudinal Stress Thick Shell-((Hoop Stress on thick shell-(Change in radius*Modulus of Elasticity Of Thick Shell/Radius Of Cylindrical Shell))/(Poisson's Ratio))

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