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Longitudinal stress in thin cylindrical vessel given Longitudinal 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 = ((ε longitudinal \cdot E)) + (𝛎 \cdot σ θ)

σ_l - Longitudinal Stress Thick Shell?ε_longitudinal - Longitudinal Strain?E - Modulus of Elasticity Of Thin Shell?𝛎 - Poisson's Ratio?σ_θ - Hoop Stress in Thin shell?

Longitudinal stress in thin cylindrical vessel given Longitudinal strain Example

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Here is how the Longitudinal stress in thin cylindrical vessel given Longitudinal strain equation looks like with Values.

Here is how the Longitudinal stress in thin cylindrical vessel given Longitudinal strain equation looks like with Units.

Here is how the Longitudinal stress in thin cylindrical vessel given Longitudinal strain equation looks like.

407.509 = ((40 \cdot 10)) + (0.3 \cdot 25.03)

407.509MPa = ((40 \cdot 10MPa)) + (0.3 \cdot 25.03MPa)

407.509 = ((40 \cdot 10)) + (0.3 \cdot 25.03)

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Longitudinal stress in thin cylindrical vessel given Longitudinal strain Solution

Follow our step by step solution on how to calculate Longitudinal stress in thin cylindrical vessel given Longitudinal strain?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ l = ((40 \cdot 10MPa)) + (0.3 \cdot 25.03MPa)

Next Step Convert Units

∴

σ l = ((40 \cdot 1E+7Pa)) + (0.3 \cdot 2.5E+7Pa)

Next Step Prepare to Evaluate

∴

σ l = ((40 \cdot 1E+7)) + (0.3 \cdot 2.5E+7)

Next Step Evaluate

∴

σ l = 407509000Pa

LAST Step Convert to Output's Unit

∴

σ l = 407.509MPa

Longitudinal stress in thin cylindrical vessel given Longitudinal 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

Longitudinal Strain

The Longitudinal Strain is ratio of change in length to original length.

Symbol: ε_longitudinal

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Longitudinal Strain

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

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

Other formulas in Stress and Strain category

Go Efficiency of circumferential joint given longitudinal stress

η c = \frac{P i \cdot D i}{4 \cdot t}

Go Efficiency of longitudinal joint given hoop stress

η l = \frac{P i \cdot D i}{2 \cdot t}

Go Internal diameter of vessel given hoop stress and efficiency of longitudinal joint

D i = \frac{σ θ \cdot 2 \cdot t \cdot η l}{P i}

Go Internal diameter of vessel given longitudinal stress and efficiency of circumferential joint

D i = \frac{σ l \cdot 4 \cdot t \cdot η c}{P i}

How to Evaluate Longitudinal stress in thin cylindrical vessel given Longitudinal strain?

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

FAQs on Longitudinal stress in thin cylindrical vessel given Longitudinal strain

What is the formula to find Longitudinal stress in thin cylindrical vessel given Longitudinal strain?

The formula of Longitudinal stress in thin cylindrical vessel given Longitudinal strain is expressed as Longitudinal Stress Thick Shell = ((Longitudinal Strain*Modulus of Elasticity Of Thin Shell))+(Poisson's Ratio*Hoop Stress in Thin shell). Here is an example- 0.000408 = ((40*10000000))+(0.3*25030000).

How to calculate Longitudinal stress in thin cylindrical vessel given Longitudinal strain?

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

Can the Longitudinal stress in thin cylindrical vessel given Longitudinal strain be negative?

Yes, the Longitudinal stress in thin cylindrical vessel given Longitudinal strain, measured in Pressure can be negative.

Which unit is used to measure Longitudinal stress in thin cylindrical vessel given Longitudinal strain?

Longitudinal stress in thin cylindrical vessel given Longitudinal 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 in thin cylindrical vessel given Longitudinal strain can be measured.

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Longitudinal stress in thin cylindrical vessel given Longitudinal strain Formula

Longitudinal stress in thin cylindrical vessel given Longitudinal strain Example

Longitudinal stress in thin cylindrical vessel given Longitudinal strain Solution

Longitudinal stress in thin cylindrical vessel given Longitudinal strain Formula Elements

Other formulas in Stress and Strain category

How to Evaluate Longitudinal stress in thin cylindrical vessel given Longitudinal strain?

FAQs on Longitudinal stress in thin cylindrical vessel given Longitudinal strain

Variable Name