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Modulus of elasticity of vessel material given Longitudinal strain Formula

GoModulus of elasticity for thin spherical shell given strain and internal fluid pressure Formula

GoModulus of elasticity given change in diameter of thin spherical shells Formula

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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. Check FAQs

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

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

Modulus of elasticity of vessel material given Longitudinal strain Example

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Here is how the Modulus of elasticity of vessel material given Longitudinal strain equation looks like with Values.

Here is how the Modulus of elasticity of vessel material given Longitudinal strain equation looks like with Units.

Here is how the Modulus of elasticity of vessel material given Longitudinal strain equation looks like.

0.3123 = \frac{20 - (0.3 \cdot 25.03)}{40}

0.3123MPa = \frac{20MPa - (0.3 \cdot 25.03MPa)}{40}

0.3123 = \frac{20 - (0.3 \cdot 25.03)}{40}

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Strength of Materials » fx Modulus of elasticity of vessel material given Longitudinal strain

Modulus of elasticity of vessel material given Longitudinal strain Solution

Follow our step by step solution on how to calculate Modulus of elasticity of vessel material given Longitudinal strain?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E = \frac{20MPa - (0.3 \cdot 25.03MPa)}{40}

Next Step Convert Units

∴

E = \frac{2E+7Pa - (0.3 \cdot 2.5E+7Pa)}{40}

Next Step Prepare to Evaluate

∴

E = \frac{2E+7 - (0.3 \cdot 2.5E+7)}{40}

Next Step Evaluate

∴

E = 312275Pa

Next Step Convert to Output's Unit

∴

E = 0.312275MPa

LAST Step Rounding Answer

∴

E = 0.3123MPa

Modulus of elasticity of vessel material given Longitudinal strain Formula Elements

Variables

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

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

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

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

Other Formulas to find Modulus of Elasticity Of Thin Shell

Go Modulus of elasticity for thin spherical shell given strain and internal fluid pressure

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

Go Modulus of elasticity given change in diameter of thin spherical shells

E = (\frac{P i \cdot (D^{2})}{4 \cdot t \cdot ∆d}) \cdot (1 - 𝛎)

Go Modulus of elasticity of thin spherical shell given strain in any one direction

E = (\frac{σ θ}{ε}) \cdot (1 - 𝛎)

Go Modulus of elasticity given circumferential strain

E = \frac{σ θ - (𝛎 \cdot σ l)}{e 1}

How to Evaluate Modulus of elasticity of vessel material given Longitudinal strain?

Modulus of elasticity of vessel material given Longitudinal strain evaluator uses Modulus of Elasticity Of Thin Shell = (Longitudinal Stress Thick Shell-(Poisson's Ratio*Hoop Stress in Thin shell))/Longitudinal Strain to evaluate the Modulus of Elasticity Of Thin Shell, Modulus of elasticity of vessel material given Longitudinal strain is 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 Thin Shell is denoted by E symbol.

How to evaluate Modulus of elasticity of vessel material given Longitudinal strain using this online evaluator? To use this online evaluator for Modulus of elasticity of vessel material given Longitudinal strain, enter Longitudinal Stress Thick Shell (σ_l), Poisson's Ratio (𝛎), Hoop Stress in Thin shell (σ_θ) & Longitudinal Strain (ε_longitudinal) and hit the calculate button.

FAQs on Modulus of elasticity of vessel material given Longitudinal strain

What is the formula to find Modulus of elasticity of vessel material given Longitudinal strain?

The formula of Modulus of elasticity of vessel material given Longitudinal strain is expressed as Modulus of Elasticity Of Thin Shell = (Longitudinal Stress Thick Shell-(Poisson's Ratio*Hoop Stress in Thin shell))/Longitudinal Strain. Here is an example- -1.9E-7 = (20000000-(0.3*25030000))/40.

How to calculate Modulus of elasticity of vessel material given Longitudinal strain?

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

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

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

Modulus of Elasticity Of Thin Shell=((Internal Pressure*Diameter of Sphere)/(4*Thickness Of Thin Spherical Shell*Strain in thin shell))*(1-Poisson's Ratio)
Modulus of Elasticity Of Thin Shell=((Internal Pressure*(Diameter of Sphere^2))/(4*Thickness Of Thin Spherical Shell*Change in Diameter))*(1-Poisson's Ratio)
Modulus of Elasticity Of Thin Shell=(Hoop Stress in Thin shell/Strain in thin shell)*(1-Poisson's Ratio)

Can the Modulus of elasticity of vessel material given Longitudinal strain be negative?

No, the Modulus of elasticity of vessel material given Longitudinal strain, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of elasticity of vessel material given Longitudinal strain?

Modulus of elasticity of vessel material 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 Modulus of elasticity of vessel material given Longitudinal strain can be measured.

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Modulus of elasticity of vessel material given Longitudinal strain Formula

​GoModulus of elasticity for thin spherical shell given strain and internal fluid pressure Formula

​GoModulus of elasticity given change in diameter of thin spherical shells Formula

Modulus of elasticity of vessel material given Longitudinal strain Example

Modulus of elasticity of vessel material given Longitudinal strain Solution

Modulus of elasticity of vessel material given Longitudinal strain Formula Elements

Other Formulas to find Modulus of Elasticity Of Thin Shell

How to Evaluate Modulus of elasticity of vessel material given Longitudinal strain?

FAQs on Modulus of elasticity of vessel material given Longitudinal strain

Variable Name

GoModulus of elasticity for thin spherical shell given strain and internal fluid pressure Formula

GoModulus of elasticity given change in diameter of thin spherical shells Formula