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Compressive stress given radial strain in thick cylindrical shell Formula

GoCompressive stress given circumferential strain in thick cylindrical shell Formula

GoCompressive stress given longitudinal strain in thick cylindrical shell Formula

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Compressive Stress Thick Shell is the force that is responsible for the deformation of the material such that the volume of the material reduces. Check FAQs

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

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

Compressive stress given radial strain in thick cylindrical shell Example

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

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

Here is how the Compressive stress given radial strain in thick cylindrical shell equation looks like.

-1.9746 = - (0.75 \cdot 2.6) - (0.3 \cdot (0.002 + 0.08))

-1.9746MPa = - (0.75 \cdot 2.6MPa) - (0.3 \cdot (0.002MPa + 0.08MPa))

-1.9746 = - (0.75 \cdot 2.6) - (0.3 \cdot (0.002 + 0.08))

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Compressive stress given radial strain in thick cylindrical shell Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ c = - (0.75 \cdot 2.6MPa) - (0.3 \cdot (0.002MPa + 0.08MPa))

Next Step Convert Units

∴

σ c = - (0.75 \cdot 2.6E+6Pa) - (0.3 \cdot (2000Pa + 80000Pa))

Next Step Prepare to Evaluate

∴

σ c = - (0.75 \cdot 2.6E+6) - (0.3 \cdot (2000 + 80000))

Next Step Evaluate

∴

σ c = -1974600Pa

LAST Step Convert to Output's Unit

∴

σ c = -1.9746MPa

Compressive stress given radial strain in thick cylindrical shell Formula Elements

Variables

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

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

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

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

Other Formulas to find Compressive Stress Thick Shell

Go Compressive stress given circumferential strain in thick cylindrical shell

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

Go Compressive stress given longitudinal strain in thick cylindrical shell

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

Go Compressive stress given change in radius of thick cylindrical shell

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

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 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 Compressive stress given radial strain in thick cylindrical shell?

Compressive stress given radial strain in thick cylindrical shell evaluator uses Compressive Stress Thick Shell = -(Strain*Modulus of Elasticity Of Thick Shell)-(Poisson's Ratio*(Hoop Stress on thick shell+Longitudinal Stress Thick Shell)) to evaluate the Compressive Stress Thick Shell, The Compressive stress given radial strain in thick cylindrical shell formula is defined as the force that is responsible for the deformation of the material such that the volume of the material reduces. Compressive Stress Thick Shell is denoted by σ_c symbol.

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

FAQs on Compressive stress given radial strain in thick cylindrical shell

What is the formula to find Compressive stress given radial strain in thick cylindrical shell?

The formula of Compressive stress given radial strain in thick cylindrical shell is expressed as Compressive Stress Thick Shell = -(Strain*Modulus of Elasticity Of Thick Shell)-(Poisson's Ratio*(Hoop Stress on thick shell+Longitudinal Stress Thick Shell)). Here is an example- -2E-6 = -(0.75*2600000)-(0.3*(2000+80000)).

How to calculate Compressive stress given radial strain in thick cylindrical shell?

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

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

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

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

Can the Compressive stress given radial strain in thick cylindrical shell be negative?

Yes, the Compressive stress given radial strain in thick cylindrical shell, measured in Stress can be negative.

Which unit is used to measure Compressive stress given radial strain in thick cylindrical shell?

Compressive stress given radial strain in thick cylindrical shell is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Compressive stress given radial strain in thick cylindrical shell can be measured.

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Compressive stress given radial strain in thick cylindrical shell Formula

​GoCompressive stress given circumferential strain in thick cylindrical shell Formula

​GoCompressive stress given longitudinal strain in thick cylindrical shell Formula

Compressive stress given radial strain in thick cylindrical shell Example

Compressive stress given radial strain in thick cylindrical shell Solution

Compressive stress given radial strain in thick cylindrical shell Formula Elements

Other Formulas to find Compressive Stress Thick Shell

Other formulas in Stresses in Thick Cylindrical Shell category

How to Evaluate Compressive stress given radial strain in thick cylindrical shell?

FAQs on Compressive stress given radial strain in thick cylindrical shell

Variable Name

GoCompressive stress given circumferential strain in thick cylindrical shell Formula

GoCompressive stress given longitudinal strain in thick cylindrical shell Formula