Original volume of cylindrical shell given volumetric strain Calculator

✖The Change in volume is difference of initial and final volume.ⓘ Change in Volume [∆V]			+10% -10%
✖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 of cylindrical shell given volumetric strain [V_O]

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Formula

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Original volume of cylindrical shell given volumetric strain

Formula

`"V"_{"O"} = "∆V"/"ε"_{"v"}`

Example

`"1.866667m³"="56m³"/"30"`

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Original volume of cylindrical shell given volumetric strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Original Volume - (Measured in Cubic Meter) - Original Volume is the volume of soil before excavation.
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.

STEP 1: Convert Input(s) to Base Unit

Change in Volume: 56 Cubic Meter --> 56 Cubic Meter No Conversion Required
Volumetric Strain: 30 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_O = ∆V/ε_v --> 56/30

Evaluating ... ...

V_O = 1.86666666666667

STEP 3: Convert Result to Output's Unit

1.86666666666667 Cubic Meter --> No Conversion Required

FINAL ANSWER

1.86666666666667 ≈ 1.866667 Cubic Meter <-- Original Volume

(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 » Original 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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< 23 Effect of Internal Pressure on Dimension of Thin Cylindrical Shell Calculators

Diameter of cylindrical shell given change in length of cylindrical shell

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

Length of cylindrical shell given change in length of cylindrical shell

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

Internal fluid pressure given change in length of cylindrical shell

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

Internal diameter of thin cylindrical vessel given circumferential strain

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

Internal fluid pressure given circumferential strain

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

Internal fluid pressure in thin cylindrical vessel given change in diameter

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

Internal fluid pressure in thin cylindrical vessel given longitudinal strain

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

Internal diameter of thin cylindrical vessel given longitudinal strain

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

Original diameter of vessel given change in diameter

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

Length of cylindrical shell given change in volume of cylindrical shell

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

Diameter of thin cylindrical shell given volumetric strain

Go Diameter of Shell = (Volumetric Strain*2*Modulus of Elasticity Of Thin Shell*Thickness Of Thin Shell)/((Internal Pressure in thin shell)*((5/2)-Poisson's Ratio))

Internal fluid pressure in shell given volumetric strain

Go Internal Pressure in thin shell = (Volumetric Strain*2*Modulus of Elasticity Of Thin Shell*Thickness Of Thin Shell)/((Diameter of Shell)*((5/2)-Poisson's Ratio))

Longitudinal stress given circumferential strain

Go Longitudinal Stress Thick Shell = (Hoop Stress in Thin shell-(Circumferential strain Thin Shell*Modulus of Elasticity Of Thin Shell))/Poisson's Ratio

Hoop stress given circumferential strain

Go Hoop Stress in Thin shell = (Circumferential strain Thin Shell*Modulus of Elasticity Of Thin Shell)+(Poisson's Ratio*Longitudinal Stress Thick Shell)

Hoop stress in thin cylindrical vessel given Longitudinal strain

Go Hoop Stress in Thin shell = (-(Longitudinal Strain*Modulus of Elasticity Of Thin Shell)+Longitudinal Stress Thick Shell)/(Poisson's Ratio)

Longitudinal stress in thin cylindrical vessel given Longitudinal strain

Go Longitudinal Stress Thick Shell = ((Longitudinal Strain*Modulus of Elasticity Of Thin Shell))+(Poisson's Ratio*Hoop Stress in Thin shell)

Diameter of thin cylindrical strain given volumetric strain

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

Length of thin cylindrical strain given volumetric strain

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

Volume of thin cylindrical shell given circumferential and longitudinal strain

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

Original circumference of thin cylindrical vessel given circumferential strain

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

Original diameter of thin cylindrical vessel given circumferential strain

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

Original length of vessel given longitudinal strain

Go Initial Length = Change in Length/Longitudinal Strain

Original volume of cylindrical shell given volumetric strain

Go Original Volume = Change in Volume/Volumetric Strain

Original volume of cylindrical shell given volumetric strain Formula

Original Volume = Change in Volume/Volumetric Strain
V_O = ∆V/ε_v

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 Original volume of cylindrical shell given volumetric strain?

Original volume of cylindrical shell given volumetric strain calculator uses Original Volume = Change in Volume/Volumetric Strain to calculate the Original Volume, Original volume of cylindrical shell given volumetric strain formula is defined as the amount of space occupied by a three-dimensional figure as measured in cubic units. Original Volume is denoted by V_O symbol.

How to calculate Original volume of cylindrical shell given volumetric strain using this online calculator? To use this online calculator for Original volume of cylindrical shell given volumetric strain, enter Change in Volume (∆V) & Volumetric Strain (ε_v) and hit the calculate button. Here is how the Original volume of cylindrical shell given volumetric strain calculation can be explained with given input values -> 1.866667 = 56/30.

FAQ

What is Original volume of cylindrical shell given volumetric strain?

Original volume of cylindrical shell given volumetric strain formula is defined as the amount of space occupied by a three-dimensional figure as measured in cubic units and is represented as V_O = ∆V/ε_v or Original Volume = Change in Volume/Volumetric Strain. The Change in volume is difference of initial and final volume & The Volumetric Strain is the ratio of change in volume to original volume.

How to calculate Original volume of cylindrical shell given volumetric strain?

Original volume of cylindrical shell given volumetric strain formula is defined as the amount of space occupied by a three-dimensional figure as measured in cubic units is calculated using Original Volume = Change in Volume/Volumetric Strain. To calculate Original volume of cylindrical shell given volumetric strain, you need Change in Volume (∆V) & Volumetric Strain (ε_v). With our tool, you need to enter the respective value for Change in Volume & Volumetric Strain and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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