Volumetric strain given internal fluid pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
εv = (Pi*D/(2*E*t))*((5/2)-𝛎)
This formula uses 6 Variables
Variables Used
Volumetric Strain - The Volumetric Strain is the ratio of change in volume to original volume.
Internal Pressure in thin shell - (Measured in Pascal) - Internal Pressure in thin shell is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.
Diameter of Shell - (Measured in Meter) - Diameter of Shell is the maximum width of cylinder in transverse direction.
Modulus of Elasticity Of Thin Shell - (Measured in Pascal) - Modulus of Elasticity Of Thin Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.
Thickness Of Thin Shell - (Measured in Meter) - Thickness Of Thin Shell is the distance through an object.
Poisson's Ratio - Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.
STEP 1: Convert Input(s) to Base Unit
Internal Pressure in thin shell: 14 Megapascal --> 14000000 Pascal (Check conversion here)
Diameter of Shell: 2200 Millimeter --> 2.2 Meter (Check conversion here)
Modulus of Elasticity Of Thin Shell: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Thickness Of Thin Shell: 525 Millimeter --> 0.525 Meter (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
εv = (Pi*D/(2*E*t))*((5/2)-𝛎) --> (14000000*2.2/(2*10000000*0.525))*((5/2)-0.3)
Evaluating ... ...
εv = 6.45333333333333
STEP 3: Convert Result to Output's Unit
6.45333333333333 --> No Conversion Required
FINAL ANSWER
6.45333333333333 6.453333 <-- Volumetric Strain
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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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 given internal fluid pressure Formula

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)
εv = (Pi*D/(2*E*t))*((5/2)-𝛎)

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 Volumetric strain given internal fluid pressure?

Volumetric strain given internal fluid pressure calculator uses 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) to calculate the Volumetric Strain, The Volumetric strain given internal fluid pressure 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 internal fluid pressure using this online calculator? To use this online calculator for Volumetric strain given internal fluid pressure, enter Internal Pressure in thin shell (Pi), Diameter of Shell (D), Modulus of Elasticity Of Thin Shell (E), Thickness Of Thin Shell (t) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Volumetric strain given internal fluid pressure calculation can be explained with given input values -> 6.453333 = (14000000*2.2/(2*10000000*0.525))*((5/2)-0.3).

FAQ

What is Volumetric strain given internal fluid pressure?
The Volumetric strain given internal fluid pressure 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 = (Pi*D/(2*E*t))*((5/2)-𝛎) or 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). Internal Pressure in thin shell is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature, Diameter of Shell is the maximum width of cylinder in transverse direction, Modulus of Elasticity Of Thin Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it, Thickness Of Thin Shell is the distance through an object & Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.
How to calculate Volumetric strain given internal fluid pressure?
The Volumetric strain given internal fluid pressure 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 = (Internal Pressure in thin shell*Diameter of Shell/(2*Modulus of Elasticity Of Thin Shell*Thickness Of Thin Shell))*((5/2)-Poisson's Ratio). To calculate Volumetric strain given internal fluid pressure, you need Internal Pressure in thin shell (Pi), Diameter of Shell (D), Modulus of Elasticity Of Thin Shell (E), Thickness Of Thin Shell (t) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Internal Pressure in thin shell, Diameter of Shell, Modulus of Elasticity Of Thin Shell, Thickness Of Thin Shell & Poisson's Ratio 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 Internal Pressure in thin shell, Diameter of Shell, Modulus of Elasticity Of Thin Shell, Thickness Of Thin Shell & Poisson's Ratio. 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 = (2*Change in Diameter/Diameter of Shell)+(Change in Length/Length Of Cylindrical Shell)
  • Volumetric Strain = Change in Volume/Original Volume
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