Longitudinal strain given stresses in thick cylindrical shell and Poisson's ratio 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%
✖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%
✖Hoop Stress on thick shell is the circumferential stress in a cylinder.ⓘ Hoop Stress on thick shell [σ_θ]			+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 Thick Shell [σ_c]			+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%

✖The Longitudinal Strain is ratio of change in length to original length.ⓘ Longitudinal strain given stresses in thick cylindrical shell and Poisson's ratio [ε_longitudinal]

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Longitudinal strain given stresses in thick cylindrical shell and Poisson's ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Longitudinal Strain - The Longitudinal Strain is ratio of change in length to original length.
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.
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.
Hoop Stress on thick shell - (Measured in Pascal) - Hoop Stress on thick shell is the circumferential stress in a cylinder.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Longitudinal Stress Thick Shell: 0.08 Megapascal --> 80000 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
Hoop Stress on thick shell: 0.002 Megapascal --> 2000 Pascal (Check conversion here)
Compressive Stress Thick Shell: 0.55 Megapascal --> 550000 Pascal (Check conversion here)
Modulus of Elasticity Of Thick Shell: 2.6 Megapascal --> 2600000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_longitudinal = (σ_l-(𝛎*(σ_θ-σ_c)))/E --> (80000-(0.3*(2000-550000)))/2600000

Evaluating ... ...

ε_longitudinal = 0.094

STEP 3: Convert Result to Output's Unit

0.094 --> No Conversion Required

FINAL ANSWER

0.094 <-- Longitudinal Strain

(Calculation completed in 00.020 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))

Longitudinal strain given stresses in thick cylindrical shell and Poisson's ratio 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 Longitudinal strain given stresses in thick cylindrical shell and Poisson's ratio?

Longitudinal strain given stresses in thick cylindrical shell and Poisson's ratio calculator uses Longitudinal Strain = (Longitudinal Stress Thick Shell-(Poisson's Ratio*(Hoop Stress on thick shell-Compressive Stress Thick Shell)))/Modulus of Elasticity Of Thick Shell to calculate the Longitudinal Strain, The Longitudinal strain given stresses in thick cylindrical shell and Poisson's ratio formula is defined as the change in the length to the original length of an object. Longitudinal Strain is denoted by ε_longitudinal symbol.

How to calculate Longitudinal strain given stresses in thick cylindrical shell and Poisson's ratio using this online calculator? To use this online calculator for Longitudinal strain given stresses in thick cylindrical shell and Poisson's ratio, enter Longitudinal Stress Thick Shell (σ_l), Poisson's Ratio (𝛎), Hoop Stress on thick shell (σ_θ), Compressive Stress Thick Shell (σ_c) & Modulus of Elasticity Of Thick Shell (E) and hit the calculate button. Here is how the Longitudinal strain given stresses in thick cylindrical shell and Poisson's ratio calculation can be explained with given input values -> 0.094 = (80000-(0.3*(2000-550000)))/2600000.

FAQ

What is Longitudinal strain given stresses in thick cylindrical shell and Poisson's ratio?

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

How to calculate Longitudinal strain given stresses in thick cylindrical shell and Poisson's ratio?

The Longitudinal strain given stresses in thick cylindrical shell and Poisson's ratio formula is defined as the change in the length to the original length of an object is calculated using Longitudinal Strain = (Longitudinal Stress Thick Shell-(Poisson's Ratio*(Hoop Stress on thick shell-Compressive Stress Thick Shell)))/Modulus of Elasticity Of Thick Shell. To calculate Longitudinal strain given stresses in thick cylindrical shell and Poisson's ratio, you need Longitudinal Stress Thick Shell (σ_l), Poisson's Ratio (𝛎), Hoop Stress on thick shell (σ_θ), Compressive Stress Thick Shell (σ_c) & Modulus of Elasticity Of Thick Shell (E). With our tool, you need to enter the respective value for Longitudinal Stress Thick Shell, Poisson's Ratio, Hoop Stress on thick shell, Compressive Stress Thick Shell & Modulus of Elasticity Of Thick Shell and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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