Volumetric strain given internal fluid pressure Calculator

✖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.ⓘ Internal Pressure in thin shell [P_i]			+10% -10%
✖Diameter of Shell is the maximum width of cylinder in transverse direction.ⓘ Diameter of Shell [D]			+10% -10%
✖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.ⓘ Modulus of Elasticity Of Thin Shell [E]			+10% -10%
✖Thickness Of Thin Shell is the distance through an object.ⓘ Thickness Of Thin Shell [t]			+10% -10%
✖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.ⓘ Poisson's Ratio [𝛎]			+10% -10%

✖The Volumetric Strain is the ratio of change in volume to original volume.ⓘ Volumetric strain given internal fluid pressure [ε_v]

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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)
ε_v = (P_i*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

ε_v = (P_i*D/(2*E*t))*((5/2)-𝛎) --> (14000000*2.2/(2*10000000*0.525))*((5/2)-0.3)

Evaluating ... ...

ε_v = 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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Home » Physics » Strength of Materials » Thin Cylinders And Spheres » Effect of Internal Pressure on Dimension of Thin Cylindrical Shell » Mechanical » Deformation » Volumetric strain given internal fluid pressure

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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 internal fluid pressure Formula

LaTeX 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)
ε_v = (P_i*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 ε_v 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 (P_i), 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 ε_v = (P_i*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 (P_i), 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 = Change in Volume/Original Volume
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)

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