Bulk Modulus given Direct Stress Calculator

✖Direct Stress is the stress developed due to force applied which is parallel or collinear to the axis of the component.ⓘ Direct Stress [σ]			+10% -10%
✖The Volumetric Strain is the ratio of change in volume to original volume.ⓘ Volumetric Strain [ε_v]			+10% -10%

✖The Bulk Modulus is a measure of the ability of a substance to withstand changes in volume when under compression on all sides.ⓘ Bulk Modulus given Direct Stress [K]

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Formula

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Bulk Modulus given Direct Stress

Formula

`"K" = "σ"/"ε"_{"v"}`

Example

`"180000MPa"="18MPa"/"0.0001"`

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Bulk Modulus given Direct Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bulk Modulus = Direct Stress/Volumetric Strain
K = σ/ε_v
This formula uses 3 Variables

Variables Used

Bulk Modulus - (Measured in Megapascal) - The Bulk Modulus is a measure of the ability of a substance to withstand changes in volume when under compression on all sides.
Direct Stress - (Measured in Megapascal) - Direct Stress is the stress developed due to force applied which is parallel or collinear to the axis of the component.
Volumetric Strain - The Volumetric Strain is the ratio of change in volume to original volume.

STEP 1: Convert Input(s) to Base Unit

Direct Stress: 18 Megapascal --> 18 Megapascal No Conversion Required
Volumetric Strain: 0.0001 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = σ/ε_v --> 18/0.0001

Evaluating ... ...

K = 180000

STEP 3: Convert Result to Output's Unit

180000000000 Pascal -->180000 Megapascal (Check conversion here)

FINAL ANSWER

180000 Megapascal <-- Bulk Modulus

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Stress and Strain » Elastic Constants » Volumetric Strain » Bulk Modulus given Direct Stress

Credits

Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has created this Calculator and 600+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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

< 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

Bulk Modulus given Direct Stress Formula

Bulk Modulus = Direct Stress/Volumetric Strain
K = σ/ε_v

What is Bulk Modulus?

When a body is subjected to the mutually perpendicular like and equal direct stresses the ratio of direct stress to the volumetric strain is known as bulk modulus.

How to Calculate Bulk Modulus given Direct Stress?

Bulk Modulus given Direct Stress calculator uses Bulk Modulus = Direct Stress/Volumetric Strain to calculate the Bulk Modulus, The Bulk Modulus given Direct Stress is defined as at the ratio of direct stress and volumetric strain. Bulk Modulus is denoted by K symbol.

How to calculate Bulk Modulus given Direct Stress using this online calculator? To use this online calculator for Bulk Modulus given Direct Stress, enter Direct Stress (σ) & Volumetric Strain (ε_v) and hit the calculate button. Here is how the Bulk Modulus given Direct Stress calculation can be explained with given input values -> 0.18 = 18000000/0.0001.

FAQ

What is Bulk Modulus given Direct Stress?

The Bulk Modulus given Direct Stress is defined as at the ratio of direct stress and volumetric strain and is represented as K = σ/ε_v or Bulk Modulus = Direct Stress/Volumetric Strain. Direct Stress is the stress developed due to force applied which is parallel or collinear to the axis of the component & The Volumetric Strain is the ratio of change in volume to original volume.

How to calculate Bulk Modulus given Direct Stress?

The Bulk Modulus given Direct Stress is defined as at the ratio of direct stress and volumetric strain is calculated using Bulk Modulus = Direct Stress/Volumetric Strain. To calculate Bulk Modulus given Direct Stress, you need Direct Stress (σ) & Volumetric Strain (ε_v). With our tool, you need to enter the respective value for Direct Stress & Volumetric Strain 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 Bulk Modulus?

In this formula, Bulk Modulus uses Direct Stress & Volumetric Strain. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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