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Circumferential strain given internal fluid pressure Formula

GoCircumferential strain given circumference Formula

GoCircumferential strain given hoop stress Formula

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Circumferential strain Thin Shell represents the change in length. Check FAQs

e 1 = (\frac{P i \cdot D i}{2 \cdot t \cdot E}) \cdot ((\frac{1}{2}) - 𝛎)

e₁ - Circumferential Strain Thin Shell?P_i - Internal Pressure in thin shell?D_i - Inner Diameter of Cylinder?t - Thickness Of Thin Shell?E - Modulus of Elasticity Of Thin Shell?𝛎 - Poisson's Ratio?

Circumferential strain given internal fluid pressure Example

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Here is how the Circumferential strain given internal fluid pressure equation looks like with Values.

Here is how the Circumferential strain given internal fluid pressure equation looks like with Units.

Here is how the Circumferential strain given internal fluid pressure equation looks like.

0.0133 = (\frac{14 \cdot 50}{2 \cdot 525 \cdot 10}) \cdot ((\frac{1}{2}) - 0.3)

0.0133 = (\frac{14MPa \cdot 50mm}{2 \cdot 525mm \cdot 10MPa}) \cdot ((\frac{1}{2}) - 0.3)

0.0133 = (\frac{14 \cdot 50}{2 \cdot 525 \cdot 10}) \cdot ((\frac{1}{2}) - 0.3)

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Circumferential strain given internal fluid pressure Solution

Follow our step by step solution on how to calculate Circumferential strain given internal fluid pressure?

FIRST Step Consider the formula

e 1 = (\frac{P i \cdot D i}{2 \cdot t \cdot E}) \cdot ((\frac{1}{2}) - 𝛎)

Next Step Substitute values of Variables

∴

e 1 = (\frac{14MPa \cdot 50mm}{2 \cdot 525mm \cdot 10MPa}) \cdot ((\frac{1}{2}) - 0.3)

Next Step Convert Units

∴

e 1 = (\frac{1.4E+7Pa \cdot 0.05m}{2 \cdot 0.525m \cdot 1E+7Pa}) \cdot ((\frac{1}{2}) - 0.3)

Next Step Prepare to Evaluate

∴

e 1 = (\frac{1.4E+7 \cdot 0.05}{2 \cdot 0.525 \cdot 1E+7}) \cdot ((\frac{1}{2}) - 0.3)

Next Step Evaluate

∴

e 1 = 0.0133333333333333

LAST Step Rounding Answer

∴

e 1 = 0.0133

Circumferential strain given internal fluid pressure Formula Elements

Variables

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

Internal Pressure in thin shell

Internal Pressure in thin shell is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.

Symbol: P_i

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Internal Pressure in thin shell

Inner Diameter of Cylinder

Inner Diameter of Cylinder is the diameter of the inside of the cylinder.

Symbol: D_i

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Inner Diameter of Cylinder

Thickness Of Thin Shell

Thickness Of Thin Shell is the distance through an object.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness Of 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 to find Circumferential Strain Thin Shell

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}

Go Circumferential strain given volume of thin cylindrical shell

e 1 = \frac{(\frac{∆V}{V T}) - ε longitudinal}{2}

Go Circumferential strain given volumetric strain for thin cylindrical shell

e 1 = \frac{ε v - ε longitudinal}{2}

Other formulas in Deformation 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 Longitudinal strain for vessel given change in length formula

ε longitudinal = \frac{ΔL}{L 0}

Go Longitudinal strain given hoop and longitudinal stress

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

How to Evaluate Circumferential strain given internal fluid pressure?

Circumferential strain given internal fluid pressure evaluator uses Circumferential Strain Thin Shell = ((Internal Pressure in thin shell*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*((1/2)-Poisson's Ratio) to evaluate the Circumferential Strain Thin Shell, The Circumferential strain given internal fluid pressure formula is defined as the change in length or circumference. Circumferential Strain Thin Shell is denoted by e₁ symbol.

How to evaluate Circumferential strain given internal fluid pressure using this online evaluator? To use this online evaluator for Circumferential strain given internal fluid pressure, enter Internal Pressure in thin shell (P_i), Inner Diameter of Cylinder (D_i), Thickness Of Thin Shell (t), Modulus of Elasticity Of Thin Shell (E) & Poisson's Ratio (𝛎) and hit the calculate button.

FAQs on Circumferential strain given internal fluid pressure

What is the formula to find Circumferential strain given internal fluid pressure?

The formula of Circumferential strain given internal fluid pressure is expressed as Circumferential Strain Thin Shell = ((Internal Pressure in thin shell*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*((1/2)-Poisson's Ratio). Here is an example- 0.013333 = ((14000000*0.05)/(2*0.525*10000000))*((1/2)-0.3).

How to calculate Circumferential strain given internal fluid pressure?

With Internal Pressure in thin shell (P_i), Inner Diameter of Cylinder (D_i), Thickness Of Thin Shell (t), Modulus of Elasticity Of Thin Shell (E) & Poisson's Ratio (𝛎) we can find Circumferential strain given internal fluid pressure using the formula - Circumferential Strain Thin Shell = ((Internal Pressure in thin shell*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*((1/2)-Poisson's Ratio).

What are the other ways to Calculate Circumferential Strain Thin Shell?

Here are the different ways to Calculate Circumferential Strain Thin Shell-

Circumferential Strain Thin Shell=Change in Circumference/Original Circumference
Circumferential Strain Thin Shell=(Hoop Stress in Thin shell-(Poisson's Ratio*Longitudinal Stress Thick Shell))/Modulus of Elasticity Of Thin Shell
Circumferential Strain Thin Shell=((Change in Volume/Volume of Thin Cylindrical Shell)-Longitudinal Strain)/2

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: Value
: Unit

Circumferential strain given internal fluid pressure Formula

​GoCircumferential strain given circumference Formula

​GoCircumferential strain given hoop stress Formula

Circumferential strain given internal fluid pressure Example

Circumferential strain given internal fluid pressure Solution

Circumferential strain given internal fluid pressure Formula Elements

Other Formulas to find Circumferential Strain Thin Shell

Other formulas in Deformation category

How to Evaluate Circumferential strain given internal fluid pressure?

FAQs on Circumferential strain given internal fluid pressure

Variable Name

GoCircumferential strain given circumference Formula

GoCircumferential strain given hoop stress Formula