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Longitudinal strain given volume of thin cylindrical shell 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{∆V}{V T}) - (2 \cdot e 1)

ε_longitudinal - Longitudinal Strain?∆V - Change in Volume?V_T - Volume of Thin Cylindrical Shell?e₁ - Circumferential Strain Thin Shell?

Longitudinal strain given volume of thin cylindrical shell Example

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Here is how the Longitudinal strain given volume of thin cylindrical shell equation looks like with Values.

Here is how the Longitudinal strain given volume of thin cylindrical shell equation looks like with Units.

Here is how the Longitudinal strain given volume of thin cylindrical shell equation looks like.

50 = (\frac{3465}{63}) - (2 \cdot 2.5)

50 = (\frac{3465m³}{63m³}) - (2 \cdot 2.5)

50 = (\frac{3465}{63}) - (2 \cdot 2.5)

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Longitudinal strain given volume of thin cylindrical shell Solution

Follow our step by step solution on how to calculate Longitudinal strain given volume of thin cylindrical shell?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ε longitudinal = (\frac{3465m³}{63m³}) - (2 \cdot 2.5)

Next Step Prepare to Evaluate

∴

ε longitudinal = (\frac{3465}{63}) - (2 \cdot 2.5)

LAST Step Evaluate

∴

ε longitudinal = 50

Longitudinal strain given volume of thin cylindrical shell 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

Change in Volume

The Change in volume is difference of initial and final volume.

Symbol: ∆V

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Change in Volume

Volume of Thin Cylindrical Shell

Volume of Thin Cylindrical Shell is the amount of space that a substance or object occupies or that is enclosed within a container.

Symbol: V_T

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Thin Cylindrical Shell

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

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 volumetric strain for thin cylindrical shell

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

Go Longitudinal strain in thin cylindrical vessel given internal fluid pressure

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

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 given volume of thin cylindrical shell?

Longitudinal strain given volume of thin cylindrical shell evaluator uses Longitudinal Strain = (Change in Volume/Volume of Thin Cylindrical Shell)-(2*Circumferential Strain Thin Shell) to evaluate the Longitudinal Strain, The Longitudinal strain given volume of thin cylindrical shell formula is defined as change in the length to the original length of an object. Longitudinal Strain is denoted by ε_longitudinal symbol.

How to evaluate Longitudinal strain given volume of thin cylindrical shell using this online evaluator? To use this online evaluator for Longitudinal strain given volume of thin cylindrical shell, enter Change in Volume (∆V), Volume of Thin Cylindrical Shell (V_T) & Circumferential Strain Thin Shell (e₁) and hit the calculate button.

FAQs on Longitudinal strain given volume of thin cylindrical shell

What is the formula to find Longitudinal strain given volume of thin cylindrical shell?

The formula of Longitudinal strain given volume of thin cylindrical shell is expressed as Longitudinal Strain = (Change in Volume/Volume of Thin Cylindrical Shell)-(2*Circumferential Strain Thin Shell). Here is an example- -4.111111 = (3465/63)-(2*2.5).

How to calculate Longitudinal strain given volume of thin cylindrical shell?

With Change in Volume (∆V), Volume of Thin Cylindrical Shell (V_T) & Circumferential Strain Thin Shell (e₁) we can find Longitudinal strain given volume of thin cylindrical shell using the formula - Longitudinal Strain = (Change in Volume/Volume of Thin Cylindrical Shell)-(2*Circumferential Strain Thin Shell).

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=(Volumetric Strain-(2*Circumferential Strain Thin Shell))

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