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Longitudinal stress given circumferential strain 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_l - Longitudinal Stress Thick Shell?σ_θ - Hoop Stress in Thin shell?e₁ - Circumferential Strain Thin Shell?E - Modulus of Elasticity Of Thin Shell?𝛎 - Poisson's Ratio?

Longitudinal stress given circumferential strain Example

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Here is how the Longitudinal stress given circumferential strain equation looks like with Values.

Here is how the Longitudinal stress given circumferential strain equation looks like with Units.

Here is how the Longitudinal stress given circumferential strain equation looks like.

0.1 = \frac{25.03 - (2.5 \cdot 10)}{0.3}

0.1MPa = \frac{25.03MPa - (2.5 \cdot 10MPa)}{0.3}

0.1 = \frac{25.03 - (2.5 \cdot 10)}{0.3}

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Longitudinal stress given circumferential strain Solution

Follow our step by step solution on how to calculate Longitudinal stress given circumferential strain?

FIRST Step Consider the formula

σ l = \frac{σ θ - (e 1 \cdot E)}{𝛎}

Next Step Substitute values of Variables

∴

σ l = \frac{25.03MPa - (2.5 \cdot 10MPa)}{0.3}

Next Step Convert Units

∴

σ l = \frac{2.5E+7Pa - (2.5 \cdot 1E+7Pa)}{0.3}

Next Step Prepare to Evaluate

∴

σ l = \frac{2.5E+7 - (2.5 \cdot 1E+7)}{0.3}

Next Step Evaluate

∴

σ l = 100000Pa

LAST Step Convert to Output's Unit

∴

σ l = 0.1MPa

Longitudinal stress given circumferential strain 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 should be greater than 0.

Formulas to find Longitudinal Stress Thick Shell

Hoop Stress in Thin shell

Hoop Stress in Thin 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 in Thin shell

Circumferential Strain Thin Shell

Circumferential strain Thin Shell represents the change in length.

Symbol: e₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Circumferential Strain Thin Shell

Modulus of Elasticity Of Thin Shell

Modulus of Elasticity Of Thin 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 should be greater than 0.

Formulas to find Modulus of Elasticity Of Thin 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

Other formulas in Stress and Strain category

Go Strain in any one direction of thin spherical shell

ε = (\frac{σ θ}{E}) \cdot (1 - 𝛎)

Go Strain in thin spherical shell given internal fluid pressure

ε = (\frac{P i \cdot D}{4 \cdot t \cdot E}) \cdot (1 - 𝛎)

Go Circumferential strain given circumference

e 1 = \frac{δC}{C}

Go Circumferential strain given hoop stress

e 1 = \frac{σ θ - (𝛎 \cdot σ l)}{E}

How to Evaluate Longitudinal stress given circumferential strain?

Longitudinal stress given circumferential strain evaluator uses Longitudinal Stress Thick Shell = (Hoop Stress in Thin shell-(Circumferential Strain Thin Shell*Modulus of Elasticity Of Thin Shell))/Poisson's Ratio to evaluate the Longitudinal Stress Thick Shell, Longitudinal stress given circumferential strain is 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 using this online evaluator? To use this online evaluator for Longitudinal stress given circumferential strain, enter Hoop Stress in Thin shell (σ_θ), Circumferential Strain Thin Shell (e₁), Modulus of Elasticity Of Thin Shell (E) & Poisson's Ratio (𝛎) and hit the calculate button.

FAQs on Longitudinal stress given circumferential strain

What is the formula to find Longitudinal stress given circumferential strain?

The formula of Longitudinal stress given circumferential strain is expressed as Longitudinal Stress Thick Shell = (Hoop Stress in Thin shell-(Circumferential Strain Thin Shell*Modulus of Elasticity Of Thin Shell))/Poisson's Ratio. Here is an example- 1E-7 = (25030000-(2.5*10000000))/0.3.

How to calculate Longitudinal stress given circumferential strain?

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

Can the Longitudinal stress given circumferential strain be negative?

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

Which unit is used to measure Longitudinal stress given circumferential strain?

Longitudinal stress given circumferential strain 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 can be measured.

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Longitudinal stress given circumferential strain Formula

Longitudinal stress given circumferential strain Example

Longitudinal stress given circumferential strain Solution

Longitudinal stress given circumferential strain Formula Elements

Other formulas in Stress and Strain category

How to Evaluate Longitudinal stress given circumferential strain?

FAQs on Longitudinal stress given circumferential strain

Variable Name