FormulaDen.com

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

Volume of shaft given total strain energy in hollow shaft Formula

GoVolume given shear strain energy Formula

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

Fx Copy

LaTeX Copy

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

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

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

Volume of shaft given total strain energy in hollow shaft Example

With values

With units

Only example

Here is how the Volume of shaft given total strain energy in hollow shaft equation looks like with Values.

Here is how the Volume of shaft given total strain energy in hollow shaft equation looks like with Units.

Here is how the Volume of shaft given total strain energy in hollow shaft equation looks like.

470588.2353 = \frac{50 \cdot (4 \cdot 4E-5 \cdot (4000^{2}))}{({4E-6}^{2}) \cdot ((4000^{2}) + (1000^{2}))}

470588.2353m³ = \frac{50KJ \cdot (4 \cdot 4E-5MPa \cdot ({4000mm}^{2}))}{({4E-6MPa}^{2}) \cdot (({4000mm}^{2}) + ({1000mm}^{2}))}

470588.2353 = \frac{50 \cdot (4 \cdot 4E-5 \cdot (4000^{2}))}{({4E-6}^{2}) \cdot ((4000^{2}) + (1000^{2}))}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Strength of Materials » fx Volume of shaft given total strain energy in hollow shaft

Volume of shaft given total strain energy in hollow shaft Solution

Follow our step by step solution on how to calculate Volume of shaft given total strain energy in hollow shaft?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{50KJ \cdot (4 \cdot 4E-5MPa \cdot ({4000mm}^{2}))}{({4E-6MPa}^{2}) \cdot (({4000mm}^{2}) + ({1000mm}^{2}))}

Next Step Convert Units

∴

V = \frac{50000J \cdot (4 \cdot 40Pa \cdot ({4m}^{2}))}{({4Pa}^{2}) \cdot (({4m}^{2}) + ({1m}^{2}))}

Next Step Prepare to Evaluate

∴

V = \frac{50000 \cdot (4 \cdot 40 \cdot (4^{2}))}{(4^{2}) \cdot ((4^{2}) + (1^{2}))}

Next Step Evaluate

∴

V = 470588.235294118m³

LAST Step Rounding Answer

∴

V = 470588.2353m³

Volume of shaft given total strain energy in hollow shaft 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

Outer Diameter of Shaft

Outer Diameter of Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft.

Symbol: d_outer

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Outer Diameter 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

Inner Diameter of Shaft

The Inner Diameter of Shaft is defined as the length of the longest chord inside the hollow shaft.

Symbol: d_inner

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Inner Diameter 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 Shaft due to Torsion

V = \frac{U \cdot 4 \cdot G}{(𝜏^{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 hollow shaft?

Volume of shaft given total strain energy in hollow shaft evaluator uses 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))) to evaluate the Volume of Shaft, The Volume of shaft given total strain energy in hollow shaft 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 hollow shaft using this online evaluator? To use this online evaluator for Volume of shaft given total strain energy in hollow shaft, enter Strain Energy in body (U), Modulus of rigidity of Shaft (G), Outer Diameter of Shaft (d_outer), Shear stress on surface of shaft (𝜏) & Inner Diameter of Shaft (d_inner) and hit the calculate button.

FAQs on Volume of shaft given total strain energy in hollow shaft

What is the formula to find Volume of shaft given total strain energy in hollow shaft?

The formula of Volume of shaft given total strain energy in hollow shaft is expressed as 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))). Here is an example- 470588.2 = (50000*(4*40*(4^2)))/((4^2)*((4^2)+(1^2))).

How to calculate Volume of shaft given total strain energy in hollow shaft?

With Strain Energy in body (U), Modulus of rigidity of Shaft (G), Outer Diameter of Shaft (d_outer), Shear stress on surface of shaft (𝜏) & Inner Diameter of Shaft (d_inner) we can find Volume of shaft given total strain energy in hollow shaft using the formula - 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))).

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)/((Shear stress on surface of shaft^2))

Can the Volume of shaft given total strain energy in hollow shaft be negative?

Yes, the Volume of shaft given total strain energy in hollow shaft, measured in Volume can be negative.

Which unit is used to measure Volume of shaft given total strain energy in hollow shaft?

Volume of shaft given total strain energy in hollow shaft 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 hollow shaft can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Volume of shaft given total strain energy in hollow shaft Formula

​GoVolume given shear strain energy Formula

​GoVolume of Shaft given Total Strain Energy in Shaft due to Torsion Formula

Volume of shaft given total strain energy in hollow shaft Example

Volume of shaft given total strain energy in hollow shaft Solution

Volume of shaft given total strain energy in hollow shaft 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 hollow shaft?

FAQs on Volume of shaft given total strain energy in hollow shaft

Variable Name

GoVolume given shear strain energy Formula

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