FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Hoop stress in thin cylindrical vessel given Longitudinal strain Formula

GoHoop stress given circumferential strain Formula

Fx Copy

LaTeX Copy

Hoop Stress in Thin shell is the circumferential stress in a cylinder. Check FAQs

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

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

Hoop stress in thin cylindrical vessel given Longitudinal strain Example

With values

With units

Only example

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

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

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

-1333.0667 = \frac{- (40 \cdot 10) + 0.08}{0.3}

-1333.0667MPa = \frac{- (40 \cdot 10MPa) + 0.08MPa}{0.3}

-1333.0667 = \frac{- (40 \cdot 10) + 0.08}{0.3}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Strength of Materials » fx Hoop stress in thin cylindrical vessel given Longitudinal strain

Hoop stress in thin cylindrical vessel given Longitudinal strain Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ θ = \frac{- (40 \cdot 10MPa) + 0.08MPa}{0.3}

Next Step Convert Units

∴

σ θ = \frac{- (40 \cdot 1E+7Pa) + 80000Pa}{0.3}

Next Step Prepare to Evaluate

∴

σ θ = \frac{- (40 \cdot 1E+7) + 80000}{0.3}

Next Step Evaluate

∴

σ θ = -1333066666.66667Pa

Next Step Convert to Output's Unit

∴

σ θ = -1333.06666666667MPa

LAST Step Rounding Answer

∴

σ θ = -1333.0667MPa

Hoop stress in thin cylindrical vessel given Longitudinal strain Formula Elements

Variables

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

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

Other Formulas to find Hoop Stress in Thin shell

Go Hoop stress given circumferential strain

σ θ = (e 1 \cdot E) + (𝛎 \cdot σ l)

Other formulas in Stress and Strain category

Go Hoop stress in thin spherical shell given strain in any one direction and Poisson's ratio

σ θ = (\frac{ε}{1 - 𝛎}) \cdot E

Go Hoop stress induced in thin spherical shell given strain in any one direction

σ θ = (\frac{ε}{1 - 𝛎}) \cdot E

Go Hoop stress given efficiency of longitudinal joint

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

Go Hoop stress

σ θ = \frac{P i \cdot D i}{2 \cdot t}

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

Hoop stress in thin cylindrical vessel given Longitudinal strain evaluator uses Hoop Stress in Thin shell = (-(Longitudinal Strain*Modulus of Elasticity Of Thin Shell)+Longitudinal Stress Thick Shell)/(Poisson's Ratio) to evaluate the Hoop Stress in Thin shell, Hoop stress in thin cylindrical vessel given Longitudinal strain is the stress around the circumference of the pipe due to a pressure gradient. Hoop Stress in Thin shell is denoted by σ_θ symbol.

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

FAQs on Hoop stress in thin cylindrical vessel given Longitudinal strain

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

The formula of Hoop stress in thin cylindrical vessel given Longitudinal strain is expressed as Hoop Stress in Thin shell = (-(Longitudinal Strain*Modulus of Elasticity Of Thin Shell)+Longitudinal Stress Thick Shell)/(Poisson's Ratio). Here is an example- -0.001333 = (-(40*10000000)+80000)/(0.3).

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

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

What are the other ways to Calculate Hoop Stress in Thin shell?

Here are the different ways to Calculate Hoop Stress in Thin shell-

Hoop Stress in Thin shell=(Circumferential Strain Thin Shell*Modulus of Elasticity Of Thin Shell)+(Poisson's Ratio*Longitudinal Stress Thick Shell)

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

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

Hoop stress in thin cylindrical vessel given Longitudinal strain Formula

​GoHoop stress given circumferential strain Formula

Hoop stress in thin cylindrical vessel given Longitudinal strain Example

Hoop stress in thin cylindrical vessel given Longitudinal strain Solution

Hoop stress in thin cylindrical vessel given Longitudinal strain Formula Elements

Other Formulas to find Hoop Stress in Thin shell

Other formulas in Stress and Strain category

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

FAQs on Hoop stress in thin cylindrical vessel given Longitudinal strain

Variable Name

GoHoop stress given circumferential strain Formula