FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Stress due to Change in Volume with No Distortion Formula

Fx Copy

LaTeX Copy

Stress for Volume Change is defined as the stress in the specimen for a given volume change. Check FAQs

σ v = \frac{σ 1 + σ 2 + σ 3}{3}

σ_v - Stress for Volume Change?σ₁ - First Principal Stress?σ₂ - Second Principal Stress?σ₃ - Third Principal Stress?

Stress due to Change in Volume with No Distortion Example

With values

With units

Only example

Here is how the Stress due to Change in Volume with No Distortion equation looks like with Values.

Here is how the Stress due to Change in Volume with No Distortion equation looks like with Units.

Here is how the Stress due to Change in Volume with No Distortion equation looks like.

49.0667 = \frac{35.2 + 47 + 65}{3}

49.0667N/mm² = \frac{35.2N/mm² + 47N/mm² + 65N/mm²}{3}

49.0667 = \frac{35.2 + 47 + 65}{3}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Mechanical » Category

Machine Design » fx Stress due to Change in Volume with No Distortion

Stress due to Change in Volume with No Distortion Solution

Follow our step by step solution on how to calculate Stress due to Change in Volume with No Distortion?

FIRST Step Consider the formula

σ v = \frac{σ 1 + σ 2 + σ 3}{3}

Next Step Substitute values of Variables

∴

σ v = \frac{35.2N/mm² + 47N/mm² + 65N/mm²}{3}

Next Step Convert Units

∴

σ v = \frac{3.5E+7Pa + 4.7E+7Pa + 6.5E+7Pa}{3}

Next Step Prepare to Evaluate

∴

σ v = \frac{3.5E+7 + 4.7E+7 + 6.5E+7}{3}

Next Step Evaluate

∴

σ v = 49066666.6666667Pa

Next Step Convert to Output's Unit

∴

σ v = 49.0666666666667N/mm²

LAST Step Rounding Answer

∴

σ v = 49.0667N/mm²

Stress due to Change in Volume with No Distortion Formula Elements

Variables

Stress for Volume Change

Stress for Volume Change is defined as the stress in the specimen for a given volume change.

Symbol: σ_v

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Stress for Volume Change

First Principal Stress

First Principal Stress is the first one among the two or three principal stresses acting on a biaxial or triaxial stressed component.

Symbol: σ₁

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find First Principal Stress

Second Principal Stress

Second Principal Stress is the second one among the two or three principal stresses acting on a biaxial or triaxial stressed component.

Symbol: σ₂

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Second Principal Stress

Third Principal Stress

Third Principal Stress is the third one among the two or three principal stresses acting on a biaxial or triaxial stressed component.

Symbol: σ₃

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Third Principal Stress

Other formulas in Distortion Energy Theory category

Go Shear Yield Strength by Maximum Distortion Energy Theory

S sy = 0.577 \cdot σ y

Go Total Strain Energy per Unit Volume

U Total = U d + U v

Go Strain Energy due to Change in Volume given Volumetric Stress

U v = \frac{3}{2} \cdot σ v \cdot ε v

Go Volumetric Strain with No Distortion

ε v = \frac{(1 - 2 \cdot 𝛎) \cdot σ v}{E}

How to Evaluate Stress due to Change in Volume with No Distortion?

Stress due to Change in Volume with No Distortion evaluator uses Stress for Volume Change = (First Principal Stress+Second Principal Stress+Third Principal Stress)/3 to evaluate the Stress for Volume Change, Stress due to change in volume with no distortion formula is defined as the average of the principal stresses. Stress for Volume Change is denoted by σ_v symbol.

How to evaluate Stress due to Change in Volume with No Distortion using this online evaluator? To use this online evaluator for Stress due to Change in Volume with No Distortion, enter First Principal Stress (σ₁), Second Principal Stress (σ₂) & Third Principal Stress (σ₃) and hit the calculate button.

FAQs on Stress due to Change in Volume with No Distortion

What is the formula to find Stress due to Change in Volume with No Distortion?

The formula of Stress due to Change in Volume with No Distortion is expressed as Stress for Volume Change = (First Principal Stress+Second Principal Stress+Third Principal Stress)/3. Here is an example- 4.9E-5 = (35200000+47000000+65000000)/3.

How to calculate Stress due to Change in Volume with No Distortion?

With First Principal Stress (σ₁), Second Principal Stress (σ₂) & Third Principal Stress (σ₃) we can find Stress due to Change in Volume with No Distortion using the formula - Stress for Volume Change = (First Principal Stress+Second Principal Stress+Third Principal Stress)/3.

Can the Stress due to Change in Volume with No Distortion be negative?

No, the Stress due to Change in Volume with No Distortion, measured in Stress cannot be negative.

Which unit is used to measure Stress due to Change in Volume with No Distortion?

Stress due to Change in Volume with No Distortion is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Stress due to Change in Volume with No Distortion can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Stress due to Change in Volume with No Distortion Formula

Stress due to Change in Volume with No Distortion Example

Stress due to Change in Volume with No Distortion Solution

Stress due to Change in Volume with No Distortion Formula Elements

Other formulas in Distortion Energy Theory category

How to Evaluate Stress due to Change in Volume with No Distortion?

FAQs on Stress due to Change in Volume with No Distortion

Variable Name