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Volume of Shaft given Total Strain Energy in Shaft due to Torsion Formula

GoVolume given shear strain energy Formula

GoVolume of shaft given total strain energy in hollow shaft Formula

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The Volume of Shaft is the volume of cylindical component under torsion. Check FAQs

V = \frac{U \cdot 4 \cdot G}{(𝜏^{2})}

V - Volume of Shaft?U - Strain Energy in body?G - Modulus of rigidity of Shaft?𝜏 - Shear stress on surface of shaft?

Volume of Shaft given Total Strain Energy in Shaft due to Torsion Example

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Here is how the Volume of Shaft given Total Strain Energy in Shaft due to Torsion equation looks like with Values.

Here is how the Volume of Shaft given Total Strain Energy in Shaft due to Torsion equation looks like with Units.

Here is how the Volume of Shaft given Total Strain Energy in Shaft due to Torsion equation looks like.

500000 = \frac{50 \cdot 4 \cdot 4E-5}{({4E-6}^{2})}

500000m³ = \frac{50KJ \cdot 4 \cdot 4E-5MPa}{({4E-6MPa}^{2})}

500000 = \frac{50 \cdot 4 \cdot 4E-5}{({4E-6}^{2})}

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Volume of Shaft given Total Strain Energy in Shaft due to Torsion Solution

Follow our step by step solution on how to calculate Volume of Shaft given Total Strain Energy in Shaft due to Torsion?

FIRST Step Consider the formula

V = \frac{U \cdot 4 \cdot G}{(𝜏^{2})}

Next Step Substitute values of Variables

∴

V = \frac{50KJ \cdot 4 \cdot 4E-5MPa}{({4E-6MPa}^{2})}

Next Step Convert Units

∴

V = \frac{50000J \cdot 4 \cdot 40Pa}{({4Pa}^{2})}

Next Step Prepare to Evaluate

∴

V = \frac{50000 \cdot 4 \cdot 40}{(4^{2})}

LAST Step Evaluate

∴

V = 500000m³

Volume of Shaft given Total Strain Energy in Shaft due to Torsion Formula Elements

Variables

Volume of Shaft

The Volume of Shaft is the volume of cylindical component under torsion.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Volume of Shaft

Strain Energy in body

Strain Energy in body is defined as the energy stored in a body due to deformation.

Symbol: U

Measurement: EnergyUnit: KJ

Note: Value should be greater than 0.

Formulas to find Strain Energy in body

Modulus of rigidity of Shaft

Modulus of rigidity of Shaft is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.

Symbol: G

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of rigidity of Shaft

Shear stress on surface of shaft

Shear stress on surface of shaft is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear stress on surface of shaft

Other Formulas to find Volume of Shaft

Go Volume given shear strain energy

V = \frac{U \cdot 2 \cdot G}{𝜏^{2}}

Go Volume of shaft given total strain energy in hollow shaft

V = \frac{U \cdot (4 \cdot G \cdot ({d outer}^{2}))}{(𝜏^{2}) \cdot (({d outer}^{2}) + ({d inner}^{2}))}

Other formulas in Expression for Strain Energy stored in a Body Due to Torsion category

Go Value of radius 'r' given shear stress at radius 'r' from center

r center = \frac{q \cdot r shaft}{𝜏}

Go Radius of shaft given shear stress at radius r from center

r shaft = (\frac{r center}{q}) \cdot 𝜏

Go Shear strain energy

U = (𝜏^{2}) \cdot \frac{V}{2 \cdot G}

Go Modulus of rigidity given shear strain energy

G = (𝜏^{2}) \cdot \frac{V}{2 \cdot U}

How to Evaluate Volume of Shaft given Total Strain Energy in Shaft due to Torsion?

Volume of Shaft given Total Strain Energy in Shaft due to Torsion evaluator uses Volume of Shaft = (Strain Energy in body*4*Modulus of rigidity of Shaft)/((Shear stress on surface of shaft^2)) to evaluate the Volume of Shaft, The Volume of Shaft given Total Strain Energy in Shaft due to Torsion formula is defined as the quantity of three-dimensional space enclosed by a closed surface. Volume of Shaft is denoted by V symbol.

How to evaluate Volume of Shaft given Total Strain Energy in Shaft due to Torsion using this online evaluator? To use this online evaluator for Volume of Shaft given Total Strain Energy in Shaft due to Torsion, enter Strain Energy in body (U), Modulus of rigidity of Shaft (G) & Shear stress on surface of shaft (𝜏) and hit the calculate button.

FAQs on Volume of Shaft given Total Strain Energy in Shaft due to Torsion

What is the formula to find Volume of Shaft given Total Strain Energy in Shaft due to Torsion?

The formula of Volume of Shaft given Total Strain Energy in Shaft due to Torsion is expressed as Volume of Shaft = (Strain Energy in body*4*Modulus of rigidity of Shaft)/((Shear stress on surface of shaft^2)). Here is an example- 500000 = (50000*4*40)/((4^2)).

How to calculate Volume of Shaft given Total Strain Energy in Shaft due to Torsion?

With Strain Energy in body (U), Modulus of rigidity of Shaft (G) & Shear stress on surface of shaft (𝜏) we can find Volume of Shaft given Total Strain Energy in Shaft due to Torsion using the formula - Volume of Shaft = (Strain Energy in body*4*Modulus of rigidity of Shaft)/((Shear stress on surface of shaft^2)).

What are the other ways to Calculate Volume of Shaft?

Here are the different ways to Calculate Volume of Shaft-

Volume of Shaft=(Strain Energy in body*2*Modulus of rigidity of Shaft)/(Shear stress on surface of shaft^2)
Volume of Shaft=(Strain Energy in body*(4*Modulus of rigidity of Shaft*(Outer Diameter of Shaft^2)))/((Shear stress on surface of shaft^2)*((Outer Diameter of Shaft^2)+(Inner Diameter of Shaft^2)))

Can the Volume of Shaft given Total Strain Energy in Shaft due to Torsion be negative?

Yes, the Volume of Shaft given Total Strain Energy in Shaft due to Torsion, measured in Volume can be negative.

Which unit is used to measure Volume of Shaft given Total Strain Energy in Shaft due to Torsion?

Volume of Shaft given Total Strain Energy in Shaft due to Torsion is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Shaft given Total Strain Energy in Shaft due to Torsion can be measured.

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Volume of Shaft given Total Strain Energy in Shaft due to Torsion Formula

​GoVolume given shear strain energy Formula

​GoVolume of shaft given total strain energy in hollow shaft Formula

Volume of Shaft given Total Strain Energy in Shaft due to Torsion Example

Volume of Shaft given Total Strain Energy in Shaft due to Torsion Solution

Volume of Shaft given Total Strain Energy in Shaft due to Torsion Formula Elements

Other Formulas to find Volume of Shaft

Other formulas in Expression for Strain Energy stored in a Body Due to Torsion category

How to Evaluate Volume of Shaft given Total Strain Energy in Shaft due to Torsion?

FAQs on Volume of Shaft given Total Strain Energy in Shaft due to Torsion

Variable Name

GoVolume given shear strain energy Formula

GoVolume of shaft given total strain energy in hollow shaft Formula