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Strain Energy in Torsion for Solid Shaft Formula

GoStrain Energy due to Pure Shear Formula

GoStrain Energy due to Torsion in Hollow Shaft Formula

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

U = 𝜏^{2} \cdot \frac{V}{4 \cdot G pa}

U - Strain Energy?𝜏 - Shear Stress?V - Volume of Shaft?G_pa - Shear Modulus?

Strain Energy in Torsion for Solid Shaft Example

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Here is how the Strain Energy in Torsion for Solid Shaft equation looks like with Values.

Here is how the Strain Energy in Torsion for Solid Shaft equation looks like with Units.

Here is how the Strain Energy in Torsion for Solid Shaft equation looks like.

3.125 = 100^{2} \cdot \frac{12.5}{4 \cdot 10.0002}

3.125KJ = {100Pa}^{2} \cdot \frac{12.5m³}{4 \cdot 10.0002Pa}

3.125 = 100^{2} \cdot \frac{12.5}{4 \cdot 10.0002}

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Strain Energy in Torsion for Solid Shaft Solution

Follow our step by step solution on how to calculate Strain Energy in Torsion for Solid Shaft?

FIRST Step Consider the formula

U = 𝜏^{2} \cdot \frac{V}{4 \cdot G pa}

Next Step Substitute values of Variables

∴

U = {100Pa}^{2} \cdot \frac{12.5m³}{4 \cdot 10.0002Pa}

Next Step Prepare to Evaluate

∴

U = 100^{2} \cdot \frac{12.5}{4 \cdot 10.0002}

Next Step Evaluate

∴

U = 3124.95312570311J

Next Step Convert to Output's Unit

∴

U = 3.12495312570311KJ

LAST Step Rounding Answer

∴

U = 3.125KJ

Strain Energy in Torsion for Solid Shaft Formula Elements

Variables

Strain Energy

The Strain Energy 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

Shear Stress

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

Symbol: 𝜏

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Stress

Volume of Shaft

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Shaft

Shear Modulus

Shear Modulus is the slope of the linear elastic region of the shear stress-strain curve.

Symbol: G_pa

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Modulus

Other Formulas to find Strain Energy

Go Strain Energy due to Pure Shear

U = 𝜏 \cdot 𝜏 \cdot \frac{V T}{2 \cdot G pa}

Go Strain Energy due to Torsion in Hollow Shaft

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

Go Strain Energy given Applied Tension Load

U = W^{2} \cdot \frac{L}{2 \cdot A Base \cdot E}

Go Strain Energy given Moment Value

U = \frac{M b \cdot M b \cdot L}{2 \cdot e \cdot I}

Other formulas in Strain Energy category

Go Strain Energy Density

S d = 0.5 \cdot σ \cdot ε

How to Evaluate Strain Energy in Torsion for Solid Shaft?

Strain Energy in Torsion for Solid Shaft evaluator uses Strain Energy = Shear Stress^(2)*Volume of Shaft/(4*Shear Modulus) to evaluate the Strain Energy, The Strain Energy in Torsion for Solid Shaft formula is defined as the measure of the energy stored in solid shaft, when it is subjected to torsion with in elastic limits. Strain Energy is denoted by U symbol.

How to evaluate Strain Energy in Torsion for Solid Shaft using this online evaluator? To use this online evaluator for Strain Energy in Torsion for Solid Shaft, enter Shear Stress (𝜏), Volume of Shaft (V) & Shear Modulus (G_pa) and hit the calculate button.

FAQs on Strain Energy in Torsion for Solid Shaft

What is the formula to find Strain Energy in Torsion for Solid Shaft?

The formula of Strain Energy in Torsion for Solid Shaft is expressed as Strain Energy = Shear Stress^(2)*Volume of Shaft/(4*Shear Modulus). Here is an example- 0.003125 = 100^(2)*12.5/(4*10.00015).

How to calculate Strain Energy in Torsion for Solid Shaft?

With Shear Stress (𝜏), Volume of Shaft (V) & Shear Modulus (G_pa) we can find Strain Energy in Torsion for Solid Shaft using the formula - Strain Energy = Shear Stress^(2)*Volume of Shaft/(4*Shear Modulus).

What are the other ways to Calculate Strain Energy?

Here are the different ways to Calculate Strain Energy-

Strain Energy=Shear Stress*Shear Stress*Volume/(2*Shear Modulus)
Strain Energy=Shear Stress^(2)*(Outer Diameter of Shaft^(2)+Inner Diameter of Shaft^(2))*Volume of Shaft/(4*Shear Modulus*Outer Diameter of Shaft^(2))
Strain Energy=Load^2*Length/(2*Area of Base*Young's Modulus)

Can the Strain Energy in Torsion for Solid Shaft be negative?

No, the Strain Energy in Torsion for Solid Shaft, measured in Energy cannot be negative.

Which unit is used to measure Strain Energy in Torsion for Solid Shaft?

Strain Energy in Torsion for Solid Shaft is usually measured using the Kilojoule[KJ] for Energy. Joule[KJ], Gigajoule[KJ], Megajoule[KJ] are the few other units in which Strain Energy in Torsion for Solid Shaft can be measured.

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Strain Energy in Torsion for Solid Shaft Formula

​GoStrain Energy due to Pure Shear Formula

​GoStrain Energy due to Torsion in Hollow Shaft Formula

Strain Energy in Torsion for Solid Shaft Example

Strain Energy in Torsion for Solid Shaft Solution

Strain Energy in Torsion for Solid Shaft Formula Elements

Other Formulas to find Strain Energy

Other formulas in Strain Energy category

How to Evaluate Strain Energy in Torsion for Solid Shaft?

FAQs on Strain Energy in Torsion for Solid Shaft

Variable Name

GoStrain Energy due to Pure Shear Formula

GoStrain Energy due to Torsion in Hollow Shaft Formula