Volumetric strain of thin cylindrical shell Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volumetric Strain = Change in Volume/Original Volume
εv = ∆V/VO
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
εv = ∆V/VO --> 3465/20
Evaluating ... ...
εv = 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)

Credits

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

Volumetric strain of thin cylindrical shell Formula

Volumetric Strain = Change in Volume/Original Volume
εv = ∆V/VO

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 εv 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 (VO) 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 εv = ∆V/VO 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 (VO). 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*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)
  • Volumetric Strain = (2*Change in Diameter/Diameter of Shell)+(Change in Length/Length Of Cylindrical Shell)
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