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 = εv*VO
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 = εv*VO --> 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 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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Birsa Institute of Technology (BIT), Sindri
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Change in Dimension Calculators

Change in diameter of vessel given internal fluid pressure
​ LaTeX ​ 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))
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​ LaTeX ​ Go Change in Diameter = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Length Of Cylindrical Shell)
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​ LaTeX ​ Go Change in Diameter = (Volumetric Strain-(Change in Length/Length Of Cylindrical Shell))*Diameter of Shell/2
Change in circumference of vessel due to pressure given circumferential strain
​ LaTeX ​ Go Change in Circumference = Original Circumference*Circumferential Strain Thin Shell

Change in volume of cylindrical shell given volumetric strain Formula

​LaTeX ​Go
Change in Volume = Volumetric Strain*Original Volume
∆V = εv*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 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 v) & Original Volume (VO) 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 = εv*VO 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 v) & Original Volume (VO). 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 3 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)))
  • Change in Volume = Volume of Thin Cylindrical Shell*((2*Circumferential Strain Thin Shell)+Longitudinal Strain)
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