Poisson's ratio given radial strain in thick cylindrical shell Calculator

✖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%
✖Strain is simply the measure of how much an object is stretched or deformed.ⓘ Strain [ε]			+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%
✖Hoop Stress on thick shell is the circumferential stress in a cylinder.ⓘ Hoop Stress on thick shell [σ_θ]			+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%

✖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 given radial strain in thick cylindrical shell [𝛎]

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Poisson's ratio given radial strain in thick cylindrical shell Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Strain - Strain is simply the measure of how much an object is stretched or deformed.
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.
Hoop Stress on thick shell - (Measured in Pascal) - Hoop Stress on thick shell is the circumferential stress in a cylinder.
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.

STEP 1: Convert Input(s) to Base Unit

Compressive Stress Thick Shell: 0.55 Megapascal --> 550000 Pascal (Check conversion here)
Strain: 0.75 --> No Conversion Required
Modulus of Elasticity Of Thick Shell: 2.6 Megapascal --> 2600000 Pascal (Check conversion here)
Hoop Stress on thick shell: 0.002 Megapascal --> 2000 Pascal (Check conversion here)
Longitudinal Stress Thick Shell: 0.08 Megapascal --> 80000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝛎 = (-σ_c-(ε*E))/(σ_θ+σ_l) --> (-550000-(0.75*2600000))/(2000+80000)

Evaluating ... ...

𝛎 = -30.4878048780488

STEP 3: Convert Result to Output's Unit

-30.4878048780488 --> No Conversion Required

FINAL ANSWER

-30.4878048780488 ≈ -30.487805 <-- Poisson's Ratio

(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))

Poisson's ratio given radial strain in thick cylindrical shell Formula

LaTeX Go

Poisson's Ratio = (-Compressive Stress Thick Shell-(Strain*Modulus of Elasticity Of Thick Shell))/(Hoop Stress on thick shell+Longitudinal Stress Thick Shell)
𝛎 = (-σ_c-(ε*E))/(σ_θ+σ_l)

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 Poisson's ratio given radial strain in thick cylindrical shell?

Poisson's ratio given radial strain in thick cylindrical shell calculator uses Poisson's Ratio = (-Compressive Stress Thick Shell-(Strain*Modulus of Elasticity Of Thick Shell))/(Hoop Stress on thick shell+Longitudinal Stress Thick Shell) to calculate the Poisson's Ratio, The Poisson's ratio given radial strain in thick cylindrical shell formula is defined as the ratio of the change in the width per unit width of a material, to the change in its length per unit length, as a result of strain. Poisson's Ratio is denoted by 𝛎 symbol.

How to calculate Poisson's ratio given radial strain in thick cylindrical shell using this online calculator? To use this online calculator for Poisson's ratio given radial strain in thick cylindrical shell, enter Compressive Stress Thick Shell (σ_c), Strain (ε), Modulus of Elasticity Of Thick Shell (E), Hoop Stress on thick shell (σ_θ) & Longitudinal Stress Thick Shell (σ_l) and hit the calculate button. Here is how the Poisson's ratio given radial strain in thick cylindrical shell calculation can be explained with given input values -> -30.487805 = (-550000-(0.75*2600000))/(2000+80000).

FAQ

What is Poisson's ratio given radial strain in thick cylindrical shell?

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

How to calculate Poisson's ratio given radial strain in thick cylindrical shell?

The Poisson's ratio given radial strain in thick cylindrical shell formula is defined as the ratio of the change in the width per unit width of a material, to the change in its length per unit length, as a result of strain is calculated using Poisson's Ratio = (-Compressive Stress Thick Shell-(Strain*Modulus of Elasticity Of Thick Shell))/(Hoop Stress on thick shell+Longitudinal Stress Thick Shell). To calculate Poisson's ratio given radial strain in thick cylindrical shell, you need Compressive Stress Thick Shell (σ_c), Strain (ε), Modulus of Elasticity Of Thick Shell (E), Hoop Stress on thick shell (σ_θ) & Longitudinal Stress Thick Shell (σ_l). With our tool, you need to enter the respective value for Compressive Stress Thick Shell, Strain, Modulus of Elasticity Of Thick Shell, Hoop Stress on thick shell & Longitudinal Stress Thick 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 Poisson's Ratio?

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

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

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