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)

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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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Volumetric Strain Calculators

Volumetric Strain given Change in Length, Breadth and Width
​ LaTeX ​ Go Volumetric Strain = Change in Length/Length of Section+Change in Breadth/Breadth of Bar+Change in Depth/Depth of Bar
Longitudinal Strain given Volumetric and Lateral Strain
​ LaTeX ​ Go Longitudinal Strain = Volumetric Strain-(2*Lateral Strain)
Volumetric Strain given Longitudinal and Lateral Strain
​ LaTeX ​ Go Volumetric Strain = Longitudinal Strain+2*Lateral Strain
Bulk Modulus given Direct Stress
​ LaTeX ​ Go Bulk Modulus = Direct Stress/Volumetric Strain

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​ LaTeX ​ Go 28 Day Compressive Strength of Concrete = 7 Day Compressive Strength+(30*sqrt(7 Day Compressive Strength))
Bulk Modulus given Direct Stress
​ LaTeX ​ Go Bulk Modulus = Direct Stress/Volumetric Strain
28-Day Concrete Compressive Strength given Water Cement Ratio
​ LaTeX ​ Go 28 Day Compressive Strength of Concrete = (2700*Water Cement Ratio)-760
Water Cement Ratio given 28-Day Concrete Compressive Strength
​ LaTeX ​ Go Water Cement Ratio = (28 Day Compressive Strength of Concrete+760)/2700

Volumetric Strain Calculators

Lateral Strain given Volumetric and Longitudinal Strain
​ LaTeX ​ Go Lateral Strain = -(Longitudinal Strain-Volumetric Strain)/2
Bulk Modulus using Young's Modulus
​ LaTeX ​ Go Bulk Modulus = Young's Modulus/(3*(1-2*Poisson's Ratio))
Direct Stress for given Bulk Modulus and Volumetric Strain
​ LaTeX ​ Go Direct Stress = Bulk Modulus*Volumetric Strain
Bulk Modulus given Direct Stress
​ LaTeX ​ Go Bulk Modulus = Direct Stress/Volumetric Strain

Volumetric Strain given Change in Length, Breadth and Width Formula

​LaTeX ​Go
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 formula is defined as a measure of the change in volume of a material relative to its original volume due to deformation in three dimensions. It helps in understanding the material's response to applied stress. 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 formula is defined as a measure of the change in volume of a material relative to its original volume due to deformation in three dimensions. It helps in understanding the material's response to applied stress 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 formula is defined as a measure of the change in volume of a material relative to its original volume due to deformation in three dimensions. It helps in understanding the material's response to applied stress 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 3 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
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