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Longitudinal strain in thin cylindrical vessel given internal fluid pressure Formula

GoLongitudinal strain for vessel given change in length formula Formula

GoLongitudinal strain given hoop and longitudinal stress Formula

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

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

ε_longitudinal - Longitudinal Strain?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?

Longitudinal strain in thin cylindrical vessel given internal fluid pressure Example

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

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

Here is how the Longitudinal strain in thin cylindrical vessel 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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Longitudinal strain in thin cylindrical vessel given internal fluid pressure Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

ε longitudinal = (\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

∴

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

Next Step Evaluate

∴

ε longitudinal = 0.0133333333333333

LAST Step Rounding Answer

∴

ε longitudinal = 0.0133

Longitudinal strain in thin cylindrical vessel given internal fluid pressure Formula Elements

Variables

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

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 Longitudinal Strain

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}

Go Longitudinal strain given volume of thin cylindrical shell

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

Go Longitudinal strain given volumetric strain for thin cylindrical shell

ε longitudinal = (ε v - (2 \cdot e 1))

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 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}

How to Evaluate Longitudinal strain in thin cylindrical vessel given internal fluid pressure?

Longitudinal strain in thin cylindrical vessel given internal fluid pressure evaluator uses Longitudinal Strain = ((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 Longitudinal Strain, The Longitudinal strain in thin cylindrical vessel given internal fluid pressure formula is defined as the change in the length to the original length of an object. It is caused due to longitudinal stress and is denoted by the Greek letter epsilon 𝜺. Longitudinal Strain is denoted by ε_longitudinal symbol.

How to evaluate Longitudinal strain in thin cylindrical vessel given internal fluid pressure using this online evaluator? To use this online evaluator for Longitudinal strain in thin cylindrical vessel 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 Longitudinal strain in thin cylindrical vessel given internal fluid pressure

What is the formula to find Longitudinal strain in thin cylindrical vessel given internal fluid pressure?

The formula of Longitudinal strain in thin cylindrical vessel given internal fluid pressure is expressed as Longitudinal Strain = ((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 Longitudinal strain in thin cylindrical vessel 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 Longitudinal strain in thin cylindrical vessel given internal fluid pressure using the formula - Longitudinal Strain = ((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 Longitudinal Strain?

Here are the different ways to Calculate Longitudinal Strain-

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

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: Unit

Longitudinal strain in thin cylindrical vessel given internal fluid pressure Formula

​GoLongitudinal strain for vessel given change in length formula Formula

​GoLongitudinal strain given hoop and longitudinal stress Formula

Longitudinal strain in thin cylindrical vessel given internal fluid pressure Example

Longitudinal strain in thin cylindrical vessel given internal fluid pressure Solution

Longitudinal strain in thin cylindrical vessel given internal fluid pressure Formula Elements

Other Formulas to find Longitudinal Strain

Other formulas in Deformation category

How to Evaluate Longitudinal strain in thin cylindrical vessel given internal fluid pressure?

FAQs on Longitudinal strain in thin cylindrical vessel given internal fluid pressure

Variable Name

GoLongitudinal strain for vessel given change in length formula Formula

GoLongitudinal strain given hoop and longitudinal stress Formula