Radial strain given stresses on thick cylinder and poisson's ratio 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%
✖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%
✖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%
✖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%

✖Strain is simply the measure of how much an object is stretched or deformed.ⓘ Radial strain given stresses on thick cylinder and poisson's ratio [ε]

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Radial strain given stresses on thick cylinder and poisson's ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Strain - Strain is simply the measure of how much an object is stretched or deformed.
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.
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.
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.
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

Compressive Stress Thick Shell: 0.55 Megapascal --> 550000 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)
Longitudinal Stress Thick Shell: 0.08 Megapascal --> 80000 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 = (-σ_c-(𝛎*(σ_θ+σ_l)))/E --> (-550000-(0.3*(2000+80000)))/2600000

Evaluating ... ...

ε = -0.221

STEP 3: Convert Result to Output's Unit

-0.221 --> No Conversion Required

FINAL ANSWER

-0.221 <-- Strain

(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))

Radial strain given stresses on thick cylinder and poisson's ratio Formula

LaTeX Go

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

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 Radial strain given stresses on thick cylinder and poisson's ratio?

Radial strain given stresses on thick cylinder and poisson's ratio calculator uses Strain = (-Compressive Stress Thick Shell-(Poisson's Ratio*(Hoop Stress on thick shell+Longitudinal Stress Thick Shell)))/Modulus of Elasticity Of Thick Shell to calculate the Strain, The Radial strain given stresses on thick cylinder and poisson's ratio formula is defined as the measure of how much radius of the cylindrical shell is stretched or deformed. Strain is denoted by ε symbol.

How to calculate Radial strain given stresses on thick cylinder and poisson's ratio using this online calculator? To use this online calculator for Radial strain given stresses on thick cylinder and poisson's ratio, enter Compressive Stress Thick Shell (σ_c), Poisson's Ratio (𝛎), Hoop Stress on thick shell (σ_θ), Longitudinal Stress Thick Shell (σ_l) & Modulus of Elasticity Of Thick Shell (E) and hit the calculate button. Here is how the Radial strain given stresses on thick cylinder and poisson's ratio calculation can be explained with given input values -> -0.221 = (-550000-(0.3*(2000+80000)))/2600000.

FAQ

What is Radial strain given stresses on thick cylinder and poisson's ratio?

The Radial strain given stresses on thick cylinder and poisson's ratio formula is defined as the measure of how much radius of the cylindrical shell is stretched or deformed and is represented as ε = (-σ_c-(𝛎*(σ_θ+σ_l)))/E or Strain = (-Compressive Stress Thick Shell-(Poisson's Ratio*(Hoop Stress on thick shell+Longitudinal Stress Thick Shell)))/Modulus of Elasticity Of 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, 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, Longitudinal Stress Thick Shell is defined as the stress produced when a pipe is subjected to internal pressure & 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 Radial strain given stresses on thick cylinder and poisson's ratio?

The Radial strain given stresses on thick cylinder and poisson's ratio formula is defined as the measure of how much radius of the cylindrical shell is stretched or deformed is calculated using Strain = (-Compressive Stress Thick Shell-(Poisson's Ratio*(Hoop Stress on thick shell+Longitudinal Stress Thick Shell)))/Modulus of Elasticity Of Thick Shell. To calculate Radial strain given stresses on thick cylinder and poisson's ratio, you need Compressive Stress Thick Shell (σ_c), Poisson's Ratio (𝛎), Hoop Stress on thick shell (σ_θ), Longitudinal Stress Thick Shell (σ_l) & Modulus of Elasticity Of Thick Shell (E). With our tool, you need to enter the respective value for Compressive Stress Thick Shell, Poisson's Ratio, Hoop Stress on thick shell, Longitudinal 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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