Volumetric Strain given Change in Length, Breadth and Width Calculator

✖Change in Length is a difference in length after the application of Load.ⓘ Change in Length [Δl]			+10% -10%
✖Length of section is defined as the total length of the Bar.ⓘ Length of Section [l]			+10% -10%
✖Change in Breadth is the difference between final breadth and initial breadth.ⓘ Change in Breadth [Δb]			+10% -10%
✖The Breadth of Bar is the measurement or extent of something from side to side.ⓘ Breadth of Bar [b]			+10% -10%
✖Change in Depth is the difference between final depth and initial depth.ⓘ Change in Depth [Δd]			+10% -10%
✖The Depth of Bar is the thickness of the bar.ⓘ Depth of Bar [d]			+10% -10%

✖The Volumetric Strain is the ratio of change in volume to original volume.ⓘ Volumetric Strain given Change in Length, Breadth and Width [ε_v]

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Formula

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Volumetric Strain given Change in Length, Breadth and Width

Formula

`"ε"_{"v"} = "Δl"/"l"+"Δb"/"b"+"Δd"/"d"`

Example

`"0.020333"="0.0025m"/"2.5m"+"0.014m"/"1.5m"+"0.012m"/"1.2m"`

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Volumetric Strain given Change in Length, Breadth and Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volumetric Strain = Change in Length/Length of Section+Change in Breadth/Breadth of Bar+Change in Depth/Depth of Bar
ε_v = Δl/l+Δb/b+Δd/d
This formula uses 7 Variables

Variables Used

Volumetric Strain - The Volumetric Strain is the ratio of change in volume to original volume.
Change in Length - (Measured in Meter) - Change in Length is a difference in length after the application of Load.
Length of Section - (Measured in Meter) - Length of section is defined as the total length of the Bar.
Change in Breadth - (Measured in Meter) - Change in Breadth is the difference between final breadth and initial breadth.
Breadth of Bar - (Measured in Meter) - The Breadth of Bar is the measurement or extent of something from side to side.
Change in Depth - (Measured in Meter) - Change in Depth is the difference between final depth and initial depth.
Depth of Bar - (Measured in Meter) - The Depth of Bar is the thickness of the bar.

STEP 1: Convert Input(s) to Base Unit

Change in Length: 0.0025 Meter --> 0.0025 Meter No Conversion Required
Length of Section: 2.5 Meter --> 2.5 Meter No Conversion Required
Change in Breadth: 0.014 Meter --> 0.014 Meter No Conversion Required
Breadth of Bar: 1.5 Meter --> 1.5 Meter No Conversion Required
Change in Depth: 0.012 Meter --> 0.012 Meter No Conversion Required
Depth of Bar: 1.2 Meter --> 1.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_v = Δl/l+Δb/b+Δd/d --> 0.0025/2.5+0.014/1.5+0.012/1.2

Evaluating ... ...

ε_v = 0.0203333333333333

STEP 3: Convert Result to Output's Unit

0.0203333333333333 --> No Conversion Required

FINAL ANSWER

0.0203333333333333 ≈ 0.020333 <-- Volumetric Strain

(Calculation completed in 00.020 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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< 17 Volumetric Strain Calculators

Volumetric Strain given Change in Length, Breadth and Width

Go Volumetric Strain = Change in Length/Length of Section+Change in Breadth/Breadth of Bar+Change in Depth/Depth of Bar

Volumetric Strain given Change in Length

Go Volumetric Strain = (Change in Length/Length of Section)*(1-2*Poisson's Ratio)

Volumetric Strain using Young's Modulus and Poisson's Ratio

Go Volumetric Strain = (3*Tensile Stress*(1-2*Poisson's Ratio))/Young's Modulus

Young's Modulus using Poisson's Ratio

Go Young's Modulus = (3*Tensile Stress*(1-2*Poisson's Ratio))/Volumetric Strain

Poisson's Ratio using Bulk Modulus and Young's Modulus

Go Poisson's Ratio = (3*Bulk Modulus-Young's Modulus)/(6*Bulk Modulus)

Poisson's Ratio given Volumetric Strain and Longitudinal Strain

Go Poisson's Ratio = 1/2*(1-Volumetric Strain/Longitudinal Strain)

Longitudinal Strain given Volumetric Strain and Poisson's Ratio

Go Longitudinal Strain = Volumetric Strain/(1-2*Poisson's Ratio)

Volumetric Strain of Cylindrical Rod using Poisson's Ratio

Go Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio)

Lateral Strain given Volumetric and Longitudinal Strain

Go Lateral Strain = -(Longitudinal Strain-Volumetric Strain)/2

Longitudinal Strain given Volumetric and Lateral Strain

Go Longitudinal Strain = Volumetric Strain-(2*Lateral Strain)

Volumetric Strain of Cylindrical Rod

Go Volumetric Strain = Longitudinal Strain-2*(Lateral Strain)

Volumetric Strain given Longitudinal and Lateral Strain

Go Volumetric Strain = Longitudinal Strain+2*Lateral Strain

Bulk Modulus using Young's Modulus

Go Bulk Modulus = Young's Modulus/(3*(1-2*Poisson's Ratio))

Young's Modulus using Bulk Modulus

Go Young's Modulus = 3*Bulk Modulus*(1-2*Poisson's Ratio)

Direct Stress for given Bulk Modulus and Volumetric Strain

Go Direct Stress = Bulk Modulus*Volumetric Strain

Volumetric Strain given Bulk Modulus

Go Volumetric Strain = Direct Stress/Bulk Modulus

Bulk Modulus given Direct Stress

Go Bulk Modulus = Direct Stress/Volumetric Strain

< 19 Compression Calculators

Volumetric Strain given Change in Length, Breadth and Width

Go Volumetric Strain = Change in Length/Length of Section+Change in Breadth/Breadth of Bar+Change in Depth/Depth of Bar

28-Day Concrete Compressive Strength

Go 28 Day Compressive Strength of Concrete = 7 Day Compressive Strength+(30*sqrt(7 Day Compressive Strength))

Volumetric Strain given Change in Length

Go Volumetric Strain = (Change in Length/Length of Section)*(1-2*Poisson's Ratio)

Volumetric Strain using Young's Modulus and Poisson's Ratio

Go Volumetric Strain = (3*Tensile Stress*(1-2*Poisson's Ratio))/Young's Modulus

Poisson's Ratio using Bulk Modulus and Young's Modulus

Go Poisson's Ratio = (3*Bulk Modulus-Young's Modulus)/(6*Bulk Modulus)

Poisson's Ratio given Volumetric Strain and Longitudinal Strain

Go Poisson's Ratio = 1/2*(1-Volumetric Strain/Longitudinal Strain)

Longitudinal Strain given Volumetric Strain and Poisson's Ratio

Go Longitudinal Strain = Volumetric Strain/(1-2*Poisson's Ratio)

Volumetric Strain of Cylindrical Rod using Poisson's Ratio

Go Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio)

Lateral Strain given Volumetric and Longitudinal Strain

Go Lateral Strain = -(Longitudinal Strain-Volumetric Strain)/2

Longitudinal Strain given Volumetric and Lateral Strain

Go Longitudinal Strain = Volumetric Strain-(2*Lateral Strain)

Volumetric Strain of Cylindrical Rod

Go Volumetric Strain = Longitudinal Strain-2*(Lateral Strain)

Volumetric Strain given Longitudinal and Lateral Strain

Go Volumetric Strain = Longitudinal Strain+2*Lateral Strain

Bulk Modulus using Young's Modulus

Go Bulk Modulus = Young's Modulus/(3*(1-2*Poisson's Ratio))

Modulus of Rupture of Concrete

Go Modulus of Rupture of Concrete = 7.5*((Characteristic Compressive Strength)^(1/2))

Direct Stress for given Bulk Modulus and Volumetric Strain

Go Direct Stress = Bulk Modulus*Volumetric Strain

Volumetric Strain given Bulk Modulus

Go Volumetric Strain = Direct Stress/Bulk Modulus

Bulk Modulus given Direct Stress

Go Bulk Modulus = Direct Stress/Volumetric Strain

28-Day Concrete Compressive Strength given Water Cement Ratio

Go 28 Day Compressive Strength of Concrete = (2700*Water Cement Ratio)-760

Water Cement Ratio given 28-Day Concrete Compressive Strength

Go Water Cement Ratio = (28 Day Compressive Strength of Concrete+760)/2700

< 17 Volumetric Strain Calculators

Volumetric Strain given Change in Length, Breadth and Width

Go Volumetric Strain = Change in Length/Length of Section+Change in Breadth/Breadth of Bar+Change in Depth/Depth of Bar

Volumetric Strain given Change in Length

Go Volumetric Strain = (Change in Length/Length of Section)*(1-2*Poisson's Ratio)

Volumetric Strain using Young's Modulus and Poisson's Ratio

Go Volumetric Strain = (3*Tensile Stress*(1-2*Poisson's Ratio))/Young's Modulus

Young's Modulus using Poisson's Ratio

Go Young's Modulus = (3*Tensile Stress*(1-2*Poisson's Ratio))/Volumetric Strain

Poisson's Ratio using Bulk Modulus and Young's Modulus

Go Poisson's Ratio = (3*Bulk Modulus-Young's Modulus)/(6*Bulk Modulus)

Poisson's Ratio given Volumetric Strain and Longitudinal Strain

Go Poisson's Ratio = 1/2*(1-Volumetric Strain/Longitudinal Strain)

Longitudinal Strain given Volumetric Strain and Poisson's Ratio

Go Longitudinal Strain = Volumetric Strain/(1-2*Poisson's Ratio)

Volumetric Strain of Cylindrical Rod using Poisson's Ratio

Go Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio)

Lateral Strain given Volumetric and Longitudinal Strain

Go Lateral Strain = -(Longitudinal Strain-Volumetric Strain)/2

Longitudinal Strain given Volumetric and Lateral Strain

Go Longitudinal Strain = Volumetric Strain-(2*Lateral Strain)

Volumetric Strain of Cylindrical Rod

Go Volumetric Strain = Longitudinal Strain-2*(Lateral Strain)

Volumetric Strain given Longitudinal and Lateral Strain

Go Volumetric Strain = Longitudinal Strain+2*Lateral Strain

Bulk Modulus using Young's Modulus

Go Bulk Modulus = Young's Modulus/(3*(1-2*Poisson's Ratio))

Young's Modulus using Bulk Modulus

Go Young's Modulus = 3*Bulk Modulus*(1-2*Poisson's Ratio)

Direct Stress for given Bulk Modulus and Volumetric Strain

Go Direct Stress = Bulk Modulus*Volumetric Strain

Volumetric Strain given Bulk Modulus

Go Volumetric Strain = Direct Stress/Bulk Modulus

Bulk Modulus given Direct Stress

Go Bulk Modulus = Direct Stress/Volumetric Strain

Volumetric Strain given Change in Length, Breadth and Width Formula

Volumetric Strain = Change in Length/Length of Section+Change in Breadth/Breadth of Bar+Change in Depth/Depth of Bar
ε_v = Δl/l+Δb/b+Δd/d

What is volumetric strain?

When a body is subjected to force or system of forces then the ratio of change in volume to original volume is called volumetric strain.

How to Calculate Volumetric Strain given Change in Length, Breadth and Width?

Volumetric Strain given Change in Length, Breadth and Width calculator uses Volumetric Strain = Change in Length/Length of Section+Change in Breadth/Breadth of Bar+Change in Depth/Depth of Bar to calculate the Volumetric Strain, Volumetric Strain given Change in Length, Breadth and Width is defined as the sum of the ratios of change in length to the original length, change in breadth to original breadth, and change in depth to original depth. Volumetric Strain is denoted by ε_v symbol.

How to calculate Volumetric Strain given Change in Length, Breadth and Width using this online calculator? To use this online calculator for Volumetric Strain given Change in Length, Breadth and Width, enter Change in Length (Δl), Length of Section (l), Change in Breadth (Δb), Breadth of Bar (b), Change in Depth (Δd) & Depth of Bar (d) and hit the calculate button. Here is how the Volumetric Strain given Change in Length, Breadth and Width calculation can be explained with given input values -> 0.020333 = 0.0025/2.5+0.014/1.5+0.012/1.2.

FAQ

What is Volumetric Strain given Change in Length, Breadth and Width?

Volumetric Strain given Change in Length, Breadth and Width is defined as the sum of the ratios of change in length to the original length, change in breadth to original breadth, and change in depth to original depth and is represented as ε_v = Δl/l+Δb/b+Δd/d or Volumetric Strain = Change in Length/Length of Section+Change in Breadth/Breadth of Bar+Change in Depth/Depth of Bar. Change in Length is a difference in length after the application of Load, Length of section is defined as the total length of the Bar, Change in Breadth is the difference between final breadth and initial breadth, The Breadth of Bar is the measurement or extent of something from side to side, Change in Depth is the difference between final depth and initial depth & The Depth of Bar is the thickness of the bar.

How to calculate Volumetric Strain given Change in Length, Breadth and Width?

Volumetric Strain given Change in Length, Breadth and Width is defined as the sum of the ratios of change in length to the original length, change in breadth to original breadth, and change in depth to original depth is calculated using Volumetric Strain = Change in Length/Length of Section+Change in Breadth/Breadth of Bar+Change in Depth/Depth of Bar. To calculate Volumetric Strain given Change in Length, Breadth and Width, you need Change in Length (Δl), Length of Section (l), Change in Breadth (Δb), Breadth of Bar (b), Change in Depth (Δd) & Depth of Bar (d). With our tool, you need to enter the respective value for Change in Length, Length of Section, Change in Breadth, Breadth of Bar, Change in Depth & Depth of Bar 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 Change in Length, Length of Section, Change in Breadth, Breadth of Bar, Change in Depth & Depth of Bar. We can use 18 other way(s) to calculate the same, which is/are as follows -

Volumetric Strain = Longitudinal Strain+2*Lateral Strain
Volumetric Strain = Direct Stress/Bulk Modulus
Volumetric Strain = (3*Tensile Stress*(1-2*Poisson's Ratio))/Young's Modulus
Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio)
Volumetric Strain = (Change in Length/Length of Section)*(1-2*Poisson's Ratio)
Volumetric Strain = Longitudinal Strain-2*(Lateral Strain)
Volumetric Strain = Direct Stress/Bulk Modulus
Volumetric Strain = (Change in Length/Length of Section)*(1-2*Poisson's Ratio)
Volumetric Strain = Longitudinal Strain+2*Lateral Strain
Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio)
Volumetric Strain = (3*Tensile Stress*(1-2*Poisson's Ratio))/Young's Modulus
Volumetric Strain = Longitudinal Strain-2*(Lateral Strain)
Volumetric Strain = Direct Stress/Bulk Modulus
Volumetric Strain = (Change in Length/Length of Section)*(1-2*Poisson's Ratio)
Volumetric Strain = Longitudinal Strain+2*Lateral Strain
Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio)
Volumetric Strain = (3*Tensile Stress*(1-2*Poisson's Ratio))/Young's Modulus
Volumetric Strain = Longitudinal Strain-2*(Lateral Strain)

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