FormulaDen.com

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

Circumferential strain given volume of thin cylindrical shell Formula

GoCircumferential strain given circumference Formula

GoCircumferential strain given hoop stress Formula

Fx Copy

LaTeX Copy

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

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

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

Circumferential strain given volume of thin cylindrical shell Example

With values

With units

Only example

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

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

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

7.5 = \frac{(\frac{3465}{63}) - 40}{2}

7.5 = \frac{(\frac{3465m³}{63m³}) - 40}{2}

7.5 = \frac{(\frac{3465}{63}) - 40}{2}

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 Circumferential strain given volume of thin cylindrical shell

Circumferential strain given volume of thin cylindrical shell Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

e 1 = \frac{(\frac{3465m³}{63m³}) - 40}{2}

Next Step Prepare to Evaluate

∴

e 1 = \frac{(\frac{3465}{63}) - 40}{2}

LAST Step Evaluate

∴

e 1 = 7.5

Circumferential strain given volume of thin cylindrical shell 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

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

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

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 internal fluid pressure

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

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 volume of thin cylindrical shell?

Circumferential strain given volume of thin cylindrical shell evaluator uses Circumferential Strain Thin Shell = ((Change in Volume/Volume of Thin Cylindrical Shell)-Longitudinal Strain)/2 to evaluate the Circumferential Strain Thin Shell, Circumferential strain given volume of thin cylindrical shell is the change in circumference/diameter of the cylinder to the original one. Circumferential Strain Thin Shell is denoted by e₁ symbol.

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

FAQs on Circumferential strain given volume of thin cylindrical shell

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

The formula of Circumferential strain given volume of thin cylindrical shell is expressed as Circumferential Strain Thin Shell = ((Change in Volume/Volume of Thin Cylindrical Shell)-Longitudinal Strain)/2. Here is an example- -19.555556 = ((3465/63)-40)/2.

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

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

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=((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)

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit