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Modulus of elasticity given radial strain in thick cylindrical shell Formula

GoModulus of elasticity given circumferential strain in thick cylindrical shell Formula

GoModulus of elasticity given longitudinal strain in thick cylindrical shell Formula

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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. Check FAQs

E = \frac{- σ c - (𝛎 \cdot (σ θ + σ l))}{ε}

E - Modulus of Elasticity Of Thick Shell?σ_c - Compressive Stress Thick Shell?𝛎 - Poisson's Ratio?σ_θ - Hoop Stress on thick shell?σ_l - Longitudinal Stress Thick Shell?ε - Strain?

Modulus of elasticity given radial strain in thick cylindrical shell Example

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Here is how the Modulus of elasticity given radial strain in thick cylindrical shell equation looks like with Values.

Here is how the Modulus of elasticity given radial strain in thick cylindrical shell equation looks like with Units.

Here is how the Modulus of elasticity given radial strain in thick cylindrical shell equation looks like.

-0.7661 = \frac{- 0.55 - (0.3 \cdot (0.002 + 0.08))}{0.75}

-0.7661MPa = \frac{- 0.55MPa - (0.3 \cdot (0.002MPa + 0.08MPa))}{0.75}

-0.7661 = \frac{- 0.55 - (0.3 \cdot (0.002 + 0.08))}{0.75}

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Modulus of elasticity given radial strain in thick cylindrical shell Solution

Follow our step by step solution on how to calculate Modulus of elasticity given radial strain in thick cylindrical shell?

FIRST Step Consider the formula

E = \frac{- σ c - (𝛎 \cdot (σ θ + σ l))}{ε}

Next Step Substitute values of Variables

∴

E = \frac{- 0.55MPa - (0.3 \cdot (0.002MPa + 0.08MPa))}{0.75}

Next Step Convert Units

∴

E = \frac{- 550000Pa - (0.3 \cdot (2000Pa + 80000Pa))}{0.75}

Next Step Prepare to Evaluate

∴

E = \frac{- 550000 - (0.3 \cdot (2000 + 80000))}{0.75}

Next Step Evaluate

∴

E = -766133.333333333Pa

Next Step Convert to Output's Unit

∴

E = -0.766133333333333MPa

LAST Step Rounding Answer

∴

E = -0.7661MPa

Modulus of elasticity given radial strain in thick cylindrical shell Formula Elements

Variables

Modulus of Elasticity Of Thick Shell

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.

Symbol: E

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Modulus of Elasticity Of Thick Shell

Compressive 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.

Symbol: σ_c

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Compressive Stress Thick Shell

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.

Symbol: 𝛎

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Poisson's Ratio

Hoop Stress on thick shell

Hoop Stress on thick shell is the circumferential stress in a cylinder.

Symbol: σ_θ

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Hoop Stress on thick shell

Longitudinal Stress Thick Shell

Longitudinal Stress Thick Shell is defined as the stress produced when a pipe is subjected to internal pressure.

Symbol: σ_l

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Longitudinal Stress Thick Shell

Strain

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

Symbol: ε

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Strain

Other Formulas to find Modulus of Elasticity Of Thick Shell

Go Modulus of elasticity given circumferential strain in thick cylindrical shell

E = \frac{σ θ - (𝛎 \cdot (σ l - σ c))}{e 1}

Go Modulus of elasticity given longitudinal strain in thick cylindrical shell

E = \frac{σ l - (𝛎 \cdot (σ θ - σ c))}{ε longitudinal}

Go Modulus of elasticity given change in radius of thick cylindrical shell

E = r cylindrical shell \cdot (\frac{σ θ - (𝛎 \cdot (σ l - σ c))}{Δr})

Other formulas in Stresses in Thick Cylindrical Shell category

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

e 1 = \frac{σ θ - (𝛎 \cdot (σ l - σ c))}{E}

Go Circumferential stress given circumferential strain in thick cylindrical shell

σ θ = (e 1 \cdot E) + (𝛎 \cdot (σ l - σ c))

Go Longitudinal stress given circumferential strain in thick cylindrical shell

σ l = (\frac{σ θ - (e 1 \cdot E)}{𝛎}) + σ c

Go Compressive stress given circumferential strain in thick cylindrical shell

σ c = σ l - (\frac{σ θ - (e 1 \cdot E)}{𝛎})

How to Evaluate Modulus of elasticity given radial strain in thick cylindrical shell?

Modulus of elasticity given radial strain in thick cylindrical shell evaluator uses Modulus of Elasticity Of Thick Shell = (-Compressive Stress Thick Shell-(Poisson's Ratio*(Hoop Stress on thick shell+Longitudinal Stress Thick Shell)))/Strain to evaluate the Modulus of Elasticity Of Thick Shell, The Modulus of elasticity given radial strain in thick cylindrical shell formula is defined as the measure of the stiffness of a material. in other words, it is a measure of how easily any material can be bend or stretch. Modulus of Elasticity Of Thick Shell is denoted by E symbol.

How to evaluate Modulus of elasticity given radial strain in thick cylindrical shell using this online evaluator? To use this online evaluator for Modulus of elasticity given radial strain in thick cylindrical shell, enter Compressive Stress Thick Shell (σ_c), Poisson's Ratio (𝛎), Hoop Stress on thick shell (σ_θ), Longitudinal Stress Thick Shell (σ_l) & Strain (ε) and hit the calculate button.

FAQs on Modulus of elasticity given radial strain in thick cylindrical shell

What is the formula to find Modulus of elasticity given radial strain in thick cylindrical shell?

The formula of Modulus of elasticity given radial strain in thick cylindrical shell is expressed as Modulus of Elasticity Of Thick Shell = (-Compressive Stress Thick Shell-(Poisson's Ratio*(Hoop Stress on thick shell+Longitudinal Stress Thick Shell)))/Strain. Here is an example- -7.7E-7 = (-550000-(0.3*(2000+80000)))/0.75.

How to calculate Modulus of elasticity given radial strain in thick cylindrical shell?

With Compressive Stress Thick Shell (σ_c), Poisson's Ratio (𝛎), Hoop Stress on thick shell (σ_θ), Longitudinal Stress Thick Shell (σ_l) & Strain (ε) we can find Modulus of elasticity given radial strain in thick cylindrical shell using the formula - Modulus of Elasticity Of Thick Shell = (-Compressive Stress Thick Shell-(Poisson's Ratio*(Hoop Stress on thick shell+Longitudinal Stress Thick Shell)))/Strain.

What are the other ways to Calculate Modulus of Elasticity Of Thick Shell?

Here are the different ways to Calculate Modulus of Elasticity Of Thick Shell-

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

Can the Modulus of elasticity given radial strain in thick cylindrical shell be negative?

Yes, the Modulus of elasticity given radial strain in thick cylindrical shell, measured in Pressure can be negative.

Which unit is used to measure Modulus of elasticity given radial strain in thick cylindrical shell?

Modulus of elasticity given radial strain in thick cylindrical shell is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Modulus of elasticity given radial strain in thick cylindrical shell can be measured.

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Modulus of elasticity given radial strain in thick cylindrical shell Formula

​GoModulus of elasticity given circumferential strain in thick cylindrical shell Formula

​GoModulus of elasticity given longitudinal strain in thick cylindrical shell Formula

Modulus of elasticity given radial strain in thick cylindrical shell Example

Modulus of elasticity given radial strain in thick cylindrical shell Solution

Modulus of elasticity given radial strain in thick cylindrical shell Formula Elements

Other Formulas to find Modulus of Elasticity Of Thick Shell

Other formulas in Stresses in Thick Cylindrical Shell category

How to Evaluate Modulus of elasticity given radial strain in thick cylindrical shell?

FAQs on Modulus of elasticity given radial strain in thick cylindrical shell

Variable Name

GoModulus of elasticity given circumferential strain in thick cylindrical shell Formula

GoModulus of elasticity given longitudinal strain in thick cylindrical shell Formula