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Longitudinal stress given circumferential strain in thick cylindrical shell Formula

GoLongitudinal stress given longitudinal strain in thick cylindrical shell Formula

GoLongitudinal stress given radial strain in thick cylindrical shell Formula

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

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

σ_l - Longitudinal Stress Thick Shell?σ_θ - Hoop Stress on thick shell?e₁ - Circumferential Strain?E - Modulus of Elasticity Of Thick Shell?𝛎 - Poisson's Ratio?σ_c - Compressive Stress Thick Shell?

Longitudinal stress given circumferential strain in thick cylindrical shell Example

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Here is how the Longitudinal stress given circumferential strain in thick cylindrical shell equation looks like with Values.

Here is how the Longitudinal stress given circumferential strain in thick cylindrical shell equation looks like with Units.

Here is how the Longitudinal stress given circumferential strain in thick cylindrical shell equation looks like.

-21.11 = (\frac{0.002 - (2.5 \cdot 2.6)}{0.3}) + 0.55

-21.11MPa = (\frac{0.002MPa - (2.5 \cdot 2.6MPa)}{0.3}) + 0.55MPa

-21.11 = (\frac{0.002 - (2.5 \cdot 2.6)}{0.3}) + 0.55

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Longitudinal stress given circumferential strain in thick cylindrical shell Solution

Follow our step by step solution on how to calculate Longitudinal stress given circumferential strain in thick cylindrical shell?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ l = (\frac{0.002MPa - (2.5 \cdot 2.6MPa)}{0.3}) + 0.55MPa

Next Step Convert Units

∴

σ l = (\frac{2000Pa - (2.5 \cdot 2.6E+6Pa)}{0.3}) + 550000Pa

Next Step Prepare to Evaluate

∴

σ l = (\frac{2000 - (2.5 \cdot 2.6E+6)}{0.3}) + 550000

Next Step Evaluate

∴

σ l = -21110000Pa

LAST Step Convert to Output's Unit

∴

σ l = -21.11MPa

Longitudinal stress given circumferential strain in thick cylindrical shell Formula Elements

Variables

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

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

Circumferential Strain

Circumferential strain represents the change in length.

Symbol: e₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Circumferential Strain

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

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

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

Other Formulas to find Longitudinal Stress Thick Shell

Go Longitudinal stress given longitudinal strain in thick cylindrical shell

σ l = (ε longitudinal \cdot E) + (𝛎 \cdot (σ θ - σ c))

Go Longitudinal stress given radial strain in thick cylindrical shell

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

Go Longitudinal stress given change in radius of thick cylindrical shell

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

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 Compressive stress given circumferential strain in thick cylindrical shell

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

Go Poisson's ratio given circumferential strain in thick cylindrical shell

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

How to Evaluate Longitudinal stress given circumferential strain in thick cylindrical shell?

Longitudinal stress given circumferential strain in thick cylindrical shell evaluator uses Longitudinal Stress Thick Shell = ((Hoop Stress on thick shell-(Circumferential Strain*Modulus of Elasticity Of Thick Shell))/(Poisson's Ratio))+Compressive Stress Thick Shell to evaluate the Longitudinal Stress Thick Shell, The Longitudinal stress given circumferential strain in thick cylindrical shell formula is defined as the stress produced when a pipe is subjected to internal pressure. Longitudinal Stress Thick Shell is denoted by σ_l symbol.

How to evaluate Longitudinal stress given circumferential strain in thick cylindrical shell using this online evaluator? To use this online evaluator for Longitudinal stress given circumferential strain in thick cylindrical shell, enter Hoop Stress on thick shell (σ_θ), Circumferential Strain (e₁), Modulus of Elasticity Of Thick Shell (E), Poisson's Ratio (𝛎) & Compressive Stress Thick Shell (σ_c) and hit the calculate button.

FAQs on Longitudinal stress given circumferential strain in thick cylindrical shell

What is the formula to find Longitudinal stress given circumferential strain in thick cylindrical shell?

The formula of Longitudinal stress given circumferential strain in thick cylindrical shell is expressed as Longitudinal Stress Thick Shell = ((Hoop Stress on thick shell-(Circumferential Strain*Modulus of Elasticity Of Thick Shell))/(Poisson's Ratio))+Compressive Stress Thick Shell. Here is an example- -2.1E-5 = ((2000-(2.5*2600000))/(0.3))+550000.

How to calculate Longitudinal stress given circumferential strain in thick cylindrical shell?

With Hoop Stress on thick shell (σ_θ), Circumferential Strain (e₁), Modulus of Elasticity Of Thick Shell (E), Poisson's Ratio (𝛎) & Compressive Stress Thick Shell (σ_c) we can find Longitudinal stress given circumferential strain in thick cylindrical shell using the formula - Longitudinal Stress Thick Shell = ((Hoop Stress on thick shell-(Circumferential Strain*Modulus of Elasticity Of Thick Shell))/(Poisson's Ratio))+Compressive Stress Thick Shell.

What are the other ways to Calculate Longitudinal Stress Thick Shell?

Here are the different ways to Calculate Longitudinal Stress Thick Shell-

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

Can the Longitudinal stress given circumferential strain in thick cylindrical shell be negative?

Yes, the Longitudinal stress given circumferential strain in thick cylindrical shell, measured in Pressure can be negative.

Which unit is used to measure Longitudinal stress given circumferential strain in thick cylindrical shell?

Longitudinal stress given circumferential 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 Longitudinal stress given circumferential strain in thick cylindrical shell can be measured.

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Longitudinal stress given circumferential strain in thick cylindrical shell Formula

​GoLongitudinal stress given longitudinal strain in thick cylindrical shell Formula

​GoLongitudinal stress given radial strain in thick cylindrical shell Formula

Longitudinal stress given circumferential strain in thick cylindrical shell Example

Longitudinal stress given circumferential strain in thick cylindrical shell Solution

Longitudinal stress given circumferential strain in thick cylindrical shell Formula Elements

Other Formulas to find Longitudinal Stress Thick Shell

Other formulas in Stresses in Thick Cylindrical Shell category

How to Evaluate Longitudinal stress given circumferential strain in thick cylindrical shell?

FAQs on Longitudinal stress given circumferential strain in thick cylindrical shell

Variable Name

GoLongitudinal stress given longitudinal strain in thick cylindrical shell Formula

GoLongitudinal stress given radial strain in thick cylindrical shell Formula