Original Volume of Body given Volumetric Strain Calculator

✖The Change in volume is difference of initial and final volume.ⓘ Change in Volume [∆V]			+10% -10%
✖Volumetric strain is the measure of the change in volume of a material relative to its original volume due to applied stress.ⓘ Volumetric Strain [ε_v]			+10% -10%

✖Original Volume is the volume of soil before excavation.ⓘ Original Volume of Body given Volumetric Strain [V₀]

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Formula

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Original Volume of Body given Volumetric Strain

Formula

`"V"_{"0"} = "∆V"/"ε"_{"v"}`

Example

`"20m³"="50m³"/"2.5"`

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Original Volume of Body given Volumetric Strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Original Volume = Change in Volume/Volumetric Strain
V₀ = ∆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 - Volumetric strain is the measure of the change in volume of a material relative to its original volume due to applied stress.

STEP 1: Convert Input(s) to Base Unit

Change in Volume: 50 Cubic Meter --> 50 Cubic Meter No Conversion Required
Volumetric Strain: 2.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₀ = ∆V/ε_v --> 50/2.5

Evaluating ... ...

V₀ = 20

STEP 3: Convert Result to Output's Unit

20 Cubic Meter --> No Conversion Required

FINAL ANSWER

20 Cubic Meter <-- Original Volume

(Calculation completed in 00.004 seconds)

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Created by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

Dipto Mandal has created this Calculator and 25+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 7 Strain Calculators

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Change in Volume of Body given Volumetric Strain

Go Change in Volume = Volumetric Strain*Original Volume

Original Volume of Body given Volumetric Strain

Go Original Volume = Change in Volume/Volumetric Strain

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Go Volumetric Strain = Change in Volume/Original Volume

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Go Strain = Change in Length/Length

Stress

Go Stress = Force/Area

Original Volume of Body given Volumetric Strain Formula

Original Volume = Change in Volume/Volumetric Strain
V₀ = ∆V/ε_v

What is Volumetric Strain ?

Volumetric strain is a measure of the relative change in volume of a material when it is subjected to stress. It is a dimensionless quantity that describes how much the volume of the material changes compared to its original volume.

How to Calculate Original Volume of Body given Volumetric Strain?

Original Volume of Body given Volumetric Strain calculator uses Original Volume = Change in Volume/Volumetric Strain to calculate the Original Volume, Original Volume of Body given Volumetric Strain is a measure of the initial volume of a body before deformation, calculated from the change in volume and volumetric strain, allowing for the analysis of the body's original properties and behavior under various stress conditions. Original Volume is denoted by V₀ symbol.

How to calculate Original Volume of Body given Volumetric Strain using this online calculator? To use this online calculator for Original Volume of Body given Volumetric Strain, enter Change in Volume (∆V) & Volumetric Strain (ε_v) and hit the calculate button. Here is how the Original Volume of Body given Volumetric Strain calculation can be explained with given input values -> 20 = 50/2.5.

FAQ

What is Original Volume of Body given Volumetric Strain?

Original Volume of Body given Volumetric Strain is a measure of the initial volume of a body before deformation, calculated from the change in volume and volumetric strain, allowing for the analysis of the body's original properties and behavior under various stress conditions and is represented as V₀ = ∆V/ε_v or Original Volume = Change in Volume/Volumetric Strain. The Change in volume is difference of initial and final volume & Volumetric strain is the measure of the change in volume of a material relative to its original volume due to applied stress.

How to calculate Original Volume of Body given Volumetric Strain?

Original Volume of Body given Volumetric Strain is a measure of the initial volume of a body before deformation, calculated from the change in volume and volumetric strain, allowing for the analysis of the body's original properties and behavior under various stress conditions is calculated using Original Volume = Change in Volume/Volumetric Strain. To calculate Original Volume of Body 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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