Circumferential strain given volumetric strain for thin cylindrical shell Calculator

✖The Volumetric Strain is the ratio of change in volume to original volume.ⓘ Volumetric Strain [ε_v]			+10% -10%
✖The Longitudinal Strain is ratio of change in length to original length.ⓘ Longitudinal Strain [ε_longitudinal]			+10% -10%

✖Circumferential strain Thin Shell represents the change in length.ⓘ Circumferential strain given volumetric strain for thin cylindrical shell [e₁]

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Circumferential strain given volumetric strain for thin cylindrical shell

Formula

`"e"_{"1"} = ("ε"_{"v"}-"ε"_{"longitudinal"})/2`

Example

`"3"=("46"-"40")/2`

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Circumferential strain given volumetric strain for thin cylindrical shell Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumferential strain Thin Shell = (Volumetric Strain-Longitudinal Strain)/2
e₁ = (ε_v-ε_longitudinal)/2
This formula uses 3 Variables

Variables Used

Circumferential strain Thin Shell - Circumferential strain Thin Shell represents the change in length.
Volumetric Strain - The Volumetric Strain is the ratio of change in volume to original volume.
Longitudinal Strain - The Longitudinal Strain is ratio of change in length to original length.

STEP 1: Convert Input(s) to Base Unit

Volumetric Strain: 46 --> No Conversion Required
Longitudinal Strain: 40 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e₁ = (ε_v-ε_longitudinal)/2 --> (46-40)/2

Evaluating ... ...

e₁ = 3

STEP 3: Convert Result to Output's Unit

3 --> No Conversion Required

FINAL ANSWER

3 <-- Circumferential strain Thin Shell

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< 15 Strain Calculators

Circumferential strain given internal fluid pressure

Go 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)

Longitudinal strain in thin cylindrical vessel given internal fluid pressure

Go 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)

Volumetric strain given internal fluid pressure

Go Volumetric Strain = (Internal Pressure in thin shell*Diameter of Shell/(2*Modulus of Elasticity Of Thin Shell*Thickness Of Thin Shell))*((5/2)-Poisson's Ratio)

Circumferential strain given hoop stress

Go Circumferential strain Thin Shell = (Hoop Stress in Thin shell-(Poisson's Ratio*Longitudinal Stress Thick Shell))/Modulus of Elasticity Of Thin Shell

Longitudinal strain given hoop and longitudinal stress

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

Volumetric strain of thin cylindrical shell given changes in diameter and length

Go Volumetric Strain = (2*Change in Diameter/Diameter of Shell)+(Change in Length/Length Of Cylindrical Shell)

Circumferential strain given volume of thin cylindrical shell

Go Circumferential strain Thin Shell = ((Change in Volume/Volume of Thin Cylindrical Shell)-Longitudinal Strain)/2

Longitudinal strain given volume of thin cylindrical shell

Go Longitudinal Strain = (Change in Volume/Volume of Thin Cylindrical Shell)-(2*Circumferential strain Thin Shell)

Circumferential strain given circumference

Go Circumferential strain Thin Shell = Change in circumference/Original Circumference

Longitudinal strain given volumetric strain for thin cylindrical shell

Go Longitudinal Strain = (Volumetric Strain-(2*Circumferential strain Thin Shell))

Circumferential strain given volumetric strain for thin cylindrical shell

Go Circumferential strain Thin Shell = (Volumetric Strain-Longitudinal Strain)/2

Volumetric strain given circumferential strain and longitudinal strain

Go Volumetric Strain = 2*Circumferential strain Thin Shell+(Longitudinal Strain)

Circumferential strain of vessel given diameter

Go Circumferential strain Thin Shell = Change in Diameter/Original Diameter

Longitudinal strain for vessel given change in length formula

Go Longitudinal Strain = Change in Length/Initial Length

Volumetric strain of thin cylindrical shell

Go Volumetric Strain = Change in Volume/Original Volume

Circumferential strain given volumetric strain for thin cylindrical shell Formula

Circumferential strain Thin Shell = (Volumetric Strain-Longitudinal Strain)/2
e₁ = (ε_v-ε_longitudinal)/2

What is the relation between lateral strain and longitudinal strain?

Lateral strain is defined as the ratio of decrease in the length of the bar in the perpendicular direction of applied load to that of the original length (gauge length). Poisson's ratio: The ratio of lateral strain to that of the longitudinal strain is termed as Poisson's ratio and it is represented by ϻ or 1/m.

How to Calculate Circumferential strain given volumetric strain for thin cylindrical shell?

Circumferential strain given volumetric strain for thin cylindrical shell calculator uses Circumferential strain Thin Shell = (Volumetric Strain-Longitudinal Strain)/2 to calculate the Circumferential strain Thin Shell, The Circumferential strain given volumetric strain for thin cylindrical shell formula is defined as the change in length (shortening in systole, represented as a negative strain value) of the myocardium along the circumferential axis of the LV as viewed in the short axis. Circumferential strain Thin Shell is denoted by e₁ symbol.

How to calculate Circumferential strain given volumetric strain for thin cylindrical shell using this online calculator? To use this online calculator for Circumferential strain given volumetric strain for thin cylindrical shell, enter Volumetric Strain (ε_v) & Longitudinal Strain (ε_longitudinal) and hit the calculate button. Here is how the Circumferential strain given volumetric strain for thin cylindrical shell calculation can be explained with given input values -> -5 = (46-40)/2.

FAQ

What is Circumferential strain given volumetric strain for thin cylindrical shell?

The Circumferential strain given volumetric strain for thin cylindrical shell formula is defined as the change in length (shortening in systole, represented as a negative strain value) of the myocardium along the circumferential axis of the LV as viewed in the short axis and is represented as e₁ = (ε_v-ε_longitudinal)/2 or Circumferential strain Thin Shell = (Volumetric Strain-Longitudinal Strain)/2. The Volumetric Strain is the ratio of change in volume to original volume & The Longitudinal Strain is ratio of change in length to original length.

How to calculate Circumferential strain given volumetric strain for thin cylindrical shell?

The Circumferential strain given volumetric strain for thin cylindrical shell formula is defined as the change in length (shortening in systole, represented as a negative strain value) of the myocardium along the circumferential axis of the LV as viewed in the short axis is calculated using Circumferential strain Thin Shell = (Volumetric Strain-Longitudinal Strain)/2. To calculate Circumferential strain given volumetric strain for thin cylindrical shell, you need Volumetric Strain (ε_v) & Longitudinal Strain (ε_longitudinal). With our tool, you need to enter the respective value for Volumetric Strain & Longitudinal Strain and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Circumferential strain Thin Shell?

In this formula, Circumferential strain Thin Shell uses Volumetric Strain & Longitudinal Strain. We can use 5 other way(s) to calculate the same, which is/are as follows -

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)
Circumferential strain Thin Shell = ((Change in Volume/Volume of Thin Cylindrical Shell)-Longitudinal Strain)/2
Circumferential strain Thin Shell = Change in Diameter/Original Diameter

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