Volumetric strain given circumferential strain and longitudinal strain Calculator

✖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 [ε_longitudinal]			+10% -10%

✖The Volumetric Strain is the ratio of change in volume to original volume.ⓘ Volumetric strain given circumferential strain and longitudinal strain [ε_v]

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Volumetric strain given circumferential strain and longitudinal strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Circumferential Strain Thin Shell: 2.5 --> No Conversion Required
Longitudinal Strain: 40 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_v = 2*e₁+(ε_longitudinal) --> 2*2.5+(40)

Evaluating ... ...

ε_v = 45

STEP 3: Convert Result to Output's Unit

45 --> No Conversion Required

FINAL ANSWER

45 <-- Volumetric Strain

(Calculation completed in 00.020 seconds)

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Home » Physics » Strength of Materials » Thin Cylinders And Spheres » Effect of Internal Pressure on Dimension of Thin Cylindrical Shell » Mechanical » Deformation » Volumetric strain given circumferential strain and longitudinal strain

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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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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

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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

Volumetric strain given circumferential strain and longitudinal strain Formula

LaTeX Go

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

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 Volumetric strain given circumferential strain and longitudinal strain?

Volumetric strain given circumferential strain and longitudinal strain calculator uses Volumetric Strain = 2*Circumferential Strain Thin Shell+(Longitudinal Strain) to calculate the Volumetric Strain, The Volumetric strain given circumferential strain and longitudinal strain formula is defined as the ratio of the change in volume of the body to the deformation to its original volume. Volumetric Strain is denoted by ε_v symbol.

How to calculate Volumetric strain given circumferential strain and longitudinal strain using this online calculator? To use this online calculator for Volumetric strain given circumferential strain and longitudinal strain, enter Circumferential Strain Thin Shell (e₁) & Longitudinal Strain (ε_longitudinal) and hit the calculate button. Here is how the Volumetric strain given circumferential strain and longitudinal strain calculation can be explained with given input values -> 45 = 2*2.5+(40).

FAQ

What is Volumetric strain given circumferential strain and longitudinal strain?

The Volumetric strain given circumferential strain and longitudinal strain formula is defined as the ratio of the change in volume of the body to the deformation to its original volume and is represented as ε_v = 2*e₁+(ε_longitudinal) or Volumetric Strain = 2*Circumferential Strain Thin Shell+(Longitudinal Strain). Circumferential strain Thin Shell represents the change in length & The Longitudinal Strain is ratio of change in length to original length.

How to calculate Volumetric strain given circumferential strain and longitudinal strain?

The Volumetric strain given circumferential strain and longitudinal strain formula is defined as the ratio of the change in volume of the body to the deformation to its original volume is calculated using Volumetric Strain = 2*Circumferential Strain Thin Shell+(Longitudinal Strain). To calculate Volumetric strain given circumferential strain and longitudinal strain, you need Circumferential Strain Thin Shell (e₁) & Longitudinal Strain (ε_longitudinal). With our tool, you need to enter the respective value for Circumferential Strain Thin Shell & 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 Volumetric Strain?

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

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

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