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
εv = 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
εv = Δl/l+Δb/b+Δd/d --> 0.0025/2.5+0.014/1.5+0.012/1.2
Evaluating ... ...
εv = 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 00.004 seconds)

Credits

Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
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NSS College of Engineering (NSSCE), Palakkad
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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
εv = 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 εv 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 εv = 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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