Longitudinal 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%
✖Circumferential strain Thin Shell represents the change in length.ⓘ Circumferential Strain Thin Shell [e₁]			+10% -10%

✖The Longitudinal Strain is ratio of change in length to original length.ⓘ Longitudinal strain given volumetric strain for thin cylindrical shell [ε_longitudinal]

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Longitudinal strain given volumetric strain for thin cylindrical shell Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Volumetric Strain: 46 --> No Conversion Required
Circumferential Strain Thin Shell: 2.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_longitudinal = (ε_v-(2*e₁)) --> (46-(2*2.5))

Evaluating ... ...

ε_longitudinal = 41

STEP 3: Convert Result to Output's Unit

41 --> No Conversion Required

FINAL ANSWER

41 <-- Longitudinal Strain

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< Deformation Calculators

Circumferential strain given internal fluid pressure

LaTeX 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

LaTeX 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)

Circumferential strain given hoop stress

LaTeX 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

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

< Strain Calculators

Strain in thin spherical shell given internal fluid pressure

LaTeX Go Strain in thin shell = ((Internal Pressure*Diameter of Sphere)/(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio)

Circumferential strain given hoop stress

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

Strain in any one direction of thin spherical shell

LaTeX Go Strain in thin shell = (Hoop Stress in Thin shell/Modulus of Elasticity Of Thin Shell)*(1-Poisson's Ratio)

Circumferential strain given circumference

LaTeX Go Circumferential Strain Thin Shell = Change in Circumference/Original Circumference

Longitudinal strain given volumetric strain for thin cylindrical shell Formula

LaTeX Go

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

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 is the ratio of lateral strain to that of the longitudinal strain is termed Poisson's ratio and it is represented by ϻ or 1/m.

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

Longitudinal strain given volumetric strain for thin cylindrical shell calculator uses Longitudinal Strain = (Volumetric Strain-(2*Circumferential Strain Thin Shell)) to calculate the Longitudinal Strain, The Longitudinal strain given volumetric strain for thin cylindrical shell 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 calculate Longitudinal strain given volumetric strain for thin cylindrical shell using this online calculator? To use this online calculator for Longitudinal strain given volumetric strain for thin cylindrical shell, enter Volumetric Strain (ε_v) & Circumferential Strain Thin Shell (e₁) and hit the calculate button. Here is how the Longitudinal strain given volumetric strain for thin cylindrical shell calculation can be explained with given input values -> 25 = (46-(2*2.5)).

FAQ

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

The Longitudinal strain given volumetric strain for thin cylindrical shell 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 and is represented as ε_longitudinal = (ε_v-(2*e₁)) or Longitudinal Strain = (Volumetric Strain-(2*Circumferential Strain Thin Shell)). The Volumetric Strain is the ratio of change in volume to original volume & Circumferential strain Thin Shell represents the change in length.

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

The Longitudinal strain given volumetric strain for thin cylindrical shell 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 is calculated using Longitudinal Strain = (Volumetric Strain-(2*Circumferential Strain Thin Shell)). To calculate Longitudinal strain given volumetric strain for thin cylindrical shell, you need Volumetric Strain (ε_v) & Circumferential Strain Thin Shell (e₁). With our tool, you need to enter the respective value for Volumetric Strain & Circumferential Strain Thin Shell 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 Longitudinal Strain?

In this formula, Longitudinal Strain uses Volumetric Strain & Circumferential Strain Thin Shell. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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