Change in volume of cylindrical shell given volumetric strain Calculator

✖The Volumetric Strain is the ratio of change in volume to original volume.ⓘ Volumetric Strain [ε_v]			+10% -10%
✖Original Volume is the volume of soil before excavation.ⓘ Original Volume [V_O]			+10% -10%

✖The Change in volume is difference of initial and final volume.ⓘ Change in volume of cylindrical shell given volumetric strain [∆V]

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Formula

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Change in volume of cylindrical shell given volumetric strain

Formula

`"∆V" = "ε"_{"v"}*"V"_{"O"}`

Example

`"600m³"="30"*"20m³"`

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Change in volume of cylindrical shell given volumetric strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Volumetric Strain: 30 --> No Conversion Required
Original Volume: 20 Cubic Meter --> 20 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∆V = ε_v*V_O --> 30*20

Evaluating ... ...

∆V = 600

STEP 3: Convert Result to Output's Unit

600 Cubic Meter --> No Conversion Required

FINAL ANSWER

600 Cubic Meter <-- Change in Volume

(Calculation completed in 00.006 seconds)

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Home » Physics » Strength of Materials » Thin Cylinders And Spheres » Effect of Internal Pressure on Dimension of Thin Cylindrical Shell » Change in Dimensions » Change in volume of cylindrical shell given volumetric strain

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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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< 12 Change in Dimensions Calculators

Change in length of thin cylindrical shell given internal fluid pressure

Go Change in Length = ((Internal Pressure in thin shell*Diameter of Shell*Length Of Cylindrical Shell)/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*((1/2)-Poisson's Ratio)

Change in diameter of vessel given internal fluid pressure

Go Change in Diameter = ((Internal Pressure in thin shell*(Inner Diameter of Cylinder^2))/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*(1-(Poisson's Ratio/2))

Change in diameter of cylindrical shell given change in volume of cylindrical shell

Go Change in Diameter = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Length Of Cylindrical Shell)

Change in length of cylindrical shell given change in volume of cylindrical shell

Go Change in Length = ((Change in Volume/(pi/4))-(2*Diameter of Shell*Length Of Cylindrical Shell*Change in Diameter))/((Diameter of Shell^2))

Change in volume of thin cylindrical shell

Go Change in Volume = (pi/4)*((2*Diameter of Shell*Length Of Cylindrical Shell*Change in Diameter)+(Change in Length*(Diameter of Shell^2)))

Change in diameter in thin cylindrical strain given volumetric strain

Go Change in Diameter = (Volumetric Strain-(Change in Length/Length Of Cylindrical Shell))*Diameter of Shell/2

Change in length in thin cylindrical strain given volumetric strain

Go Change in Length = (Volumetric Strain-(2*Change in Diameter/Diameter of Shell))*Length Of Cylindrical Shell

Change in volume given circumferential strain and longitudinal strain

Go Change in Volume = Volume of Thin Cylindrical Shell*((2*Circumferential strain Thin Shell)+Longitudinal Strain)

Change in circumference of vessel due to pressure given circumferential strain

Go Change in circumference = Original Circumference*Circumferential strain Thin Shell

Change in diameter of thin cylindrical vessel (Circumferential strain)

Go Change in Diameter = Circumferential strain Thin Shell*Original Diameter

Change in length of thin cylindrical vessel given longitudinal strain

Go Change in Length = Longitudinal Strain*Initial Length

Change in volume of cylindrical shell given volumetric strain

Go Change in Volume = Volumetric Strain*Original Volume

Change in volume of cylindrical shell given volumetric strain Formula

Change in Volume = Volumetric Strain*Original Volume
∆V = ε_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 Change in volume of cylindrical shell given volumetric strain?

Change in volume of cylindrical shell given volumetric strain calculator uses Change in Volume = Volumetric Strain*Original Volume to calculate the Change in Volume, Change in volume of cylindrical shell given volumetric strain is caused by a force exerted uniformly over the entire exposed surface of the solid. Change in Volume is denoted by ∆V symbol.

How to calculate Change in volume of cylindrical shell given volumetric strain using this online calculator? To use this online calculator for Change in volume of cylindrical shell given volumetric strain, enter Volumetric Strain (ε_v) & Original Volume (V_O) and hit the calculate button. Here is how the Change in volume of cylindrical shell given volumetric strain calculation can be explained with given input values -> 600 = 30*20.

FAQ

What is Change in volume of cylindrical shell given volumetric strain?

Change in volume of cylindrical shell given volumetric strain is caused by a force exerted uniformly over the entire exposed surface of the solid and is represented as ∆V = ε_v*V_O or Change in Volume = Volumetric Strain*Original Volume. The Volumetric Strain is the ratio of change in volume to original volume & Original Volume is the volume of soil before excavation.

How to calculate Change in volume of cylindrical shell given volumetric strain?

Change in volume of cylindrical shell given volumetric strain is caused by a force exerted uniformly over the entire exposed surface of the solid is calculated using Change in Volume = Volumetric Strain*Original Volume. To calculate Change in volume of cylindrical shell given volumetric strain, you need Volumetric Strain (ε_v) & Original Volume (V_O). With our tool, you need to enter the respective value for Volumetric Strain & 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 Change in Volume?

In this formula, Change in Volume uses Volumetric Strain & Original Volume. We can use 2 other way(s) to calculate the same, which is/are as follows -

Change in Volume = Volume of Thin Cylindrical Shell*((2*Circumferential strain Thin Shell)+Longitudinal Strain)
Change in Volume = (pi/4)*((2*Diameter of Shell*Length Of Cylindrical Shell*Change in Diameter)+(Change in Length*(Diameter of Shell^2)))

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