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)
εv = 2*e1+(εlongitudinal)
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
εv = 2*e1+(εlongitudinal) --> 2*2.5+(40)
Evaluating ... ...
εv = 45
STEP 3: Convert Result to Output's Unit
45 --> No Conversion Required
FINAL ANSWER
45 <-- Volumetric Strain
(Calculation completed in 00.004 seconds)

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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

Volumetric strain given circumferential strain and longitudinal strain Formula

​LaTeX ​Go
Volumetric Strain = 2*Circumferential Strain Thin Shell+(Longitudinal Strain)
εv = 2*e1+(εlongitudinal)

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 εv 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 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 εv = 2*e1+(εlongitudinal) 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 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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