Volumetric strain of thin cylindrical shell Calculator

✖The Change in volume is difference of initial and final volume.ⓘ Change in Volume [∆V]			+10% -10%
✖Original Volume is the volume of soil before excavation.ⓘ Original Volume [V_O]			+10% -10%

✖The Volumetric Strain is the ratio of change in volume to original volume.ⓘ Volumetric strain of thin cylindrical shell [ε_v]

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Volumetric strain of thin cylindrical shell Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volumetric Strain = Change in Volume/Original Volume
ε_v = ∆V/V_O
This formula uses 3 Variables

Variables Used

Volumetric Strain - The Volumetric Strain is the ratio of change in volume to original volume.
Change in Volume - (Measured in Cubic Meter) - The Change in volume is difference of initial and final volume.
Original Volume - (Measured in Cubic Meter) - Original Volume is the volume of soil before excavation.

STEP 1: Convert Input(s) to Base Unit

Change in Volume: 3465 Cubic Meter --> 3465 Cubic Meter No Conversion Required
Original Volume: 20 Cubic Meter --> 20 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_v = ∆V/V_O --> 3465/20

Evaluating ... ...

ε_v = 173.25

STEP 3: Convert Result to Output's Unit

173.25 --> No Conversion Required

FINAL ANSWER

173.25 <-- Volumetric Strain

(Calculation completed in 00.004 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 of thin cylindrical shell

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

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 of thin cylindrical shell Formula

LaTeX Go

Volumetric Strain = Change in Volume/Original Volume
ε_v = ∆V/V_O

What is volumetric stress?

When the deforming force or applied force acts from all dimensions resulting in the change of volume of the object then such stress is called volumetric stress or Bulk stress. In short, when the volume of the body changes due to the deforming force it is termed Volume stress.

How to Calculate Volumetric strain of thin cylindrical shell?

Volumetric strain of thin cylindrical shell calculator uses Volumetric Strain = Change in Volume/Original Volume to calculate the Volumetric Strain, The Volumetric strain of thin cylindrical shell 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 of thin cylindrical shell using this online calculator? To use this online calculator for Volumetric strain of thin cylindrical shell, enter Change in Volume (∆V) & Original Volume (V_O) and hit the calculate button. Here is how the Volumetric strain of thin cylindrical shell calculation can be explained with given input values -> 173.25 = 3465/20.

FAQ

What is Volumetric strain of thin cylindrical shell?

The Volumetric strain of thin cylindrical shell 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 = ∆V/V_O or Volumetric Strain = Change in Volume/Original Volume. The Change in volume is difference of initial and final volume & Original Volume is the volume of soil before excavation.

How to calculate Volumetric strain of thin cylindrical shell?

The Volumetric strain of thin cylindrical shell 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 = Change in Volume/Original Volume. To calculate Volumetric strain of thin cylindrical shell, you need Change in Volume (∆V) & Original Volume (V_O). With our tool, you need to enter the respective value for Change in Volume & Original Volume 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 Change in Volume & Original Volume. We can use 3 other way(s) to calculate the same, which is/are as follows -

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