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Strain Energy given Torsion Moment Value 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 = \frac{T^{2} \cdot L}{2 \cdot G pa \cdot J}

U - Strain Energy?T - Torsion Load?L - Length?G_pa - Shear Modulus?J - Polar Moment of Inertia?

Strain Energy given Torsion Moment Value Example

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Here is how the Strain Energy given Torsion Moment Value equation looks like with Values.

Here is how the Strain Energy given Torsion Moment Value equation looks like with Units.

Here is how the Strain Energy given Torsion Moment Value equation looks like.

171210.9735 = \frac{75000^{2} \cdot 3287.3}{2 \cdot 10.0002 \cdot 5.4}

171210.9735KJ = \frac{{75000N}^{2} \cdot 3287.3mm}{2 \cdot 10.0002Pa \cdot 5.4m⁴}

171210.9735 = \frac{75000^{2} \cdot 3287.3}{2 \cdot 10.0002 \cdot 5.4}

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Strain Energy given Torsion Moment Value Solution

Follow our step by step solution on how to calculate Strain Energy given Torsion Moment Value?

FIRST Step Consider the formula

U = \frac{T^{2} \cdot L}{2 \cdot G pa \cdot J}

Next Step Substitute values of Variables

∴

U = \frac{{75000N}^{2} \cdot 3287.3mm}{2 \cdot 10.0002Pa \cdot 5.4m⁴}

Next Step Convert Units

∴

U = \frac{{75000N}^{2} \cdot 3.2873m}{2 \cdot 10.0002Pa \cdot 5.4m⁴}

Next Step Prepare to Evaluate

∴

U = \frac{75000^{2} \cdot 3.2873}{2 \cdot 10.0002 \cdot 5.4}

Next Step Evaluate

∴

U = 171210973.502064J

Next Step Convert to Output's Unit

∴

U = 171210.973502064KJ

LAST Step Rounding Answer

∴

U = 171210.9735KJ

Strain Energy given Torsion Moment Value 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

Torsion Load

The Torsion Load is the load that imparts the turning moment or the torque.

Symbol: T

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Torsion Load

Length

Length is the measurement or extent of something from end to end.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length

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

Polar Moment of Inertia

The Polar moment of Inertia is a shaft or beam's resistance to being distorted by torsion, as a function of its shape.

Symbol: J

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Polar Moment of Inertia

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 given Torsion Moment Value?

Strain Energy given Torsion Moment Value evaluator uses Strain Energy = (Torsion Load^2*Length)/(2*Shear Modulus*Polar Moment of Inertia) to evaluate the Strain Energy, The Strain Energy given Torsion Moment Value formula is defined as the measure of the value that is 0.5 times the ratio of the product of torsion load and length to the product of shear modulus and polar moment of inertia. Strain Energy is denoted by U symbol.

How to evaluate Strain Energy given Torsion Moment Value using this online evaluator? To use this online evaluator for Strain Energy given Torsion Moment Value, enter Torsion Load (T), Length (L), Shear Modulus (G_pa) & Polar Moment of Inertia (J) and hit the calculate button.

FAQs on Strain Energy given Torsion Moment Value

What is the formula to find Strain Energy given Torsion Moment Value?

The formula of Strain Energy given Torsion Moment Value is expressed as Strain Energy = (Torsion Load^2*Length)/(2*Shear Modulus*Polar Moment of Inertia). Here is an example- 171.211 = (75000^2*3.2873)/(2*10.00015*5.4).

How to calculate Strain Energy given Torsion Moment Value?

With Torsion Load (T), Length (L), Shear Modulus (G_pa) & Polar Moment of Inertia (J) we can find Strain Energy given Torsion Moment Value using the formula - Strain Energy = (Torsion Load^2*Length)/(2*Shear Modulus*Polar Moment of Inertia).

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 given Torsion Moment Value be negative?

No, the Strain Energy given Torsion Moment Value, measured in Energy cannot be negative.

Which unit is used to measure Strain Energy given Torsion Moment Value?

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

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Strain Energy given Torsion Moment Value Formula

​GoStrain Energy due to Pure Shear Formula

​GoStrain Energy due to Torsion in Hollow Shaft Formula

Strain Energy given Torsion Moment Value Example

Strain Energy given Torsion Moment Value Solution

Strain Energy given Torsion Moment Value Formula Elements

Other Formulas to find Strain Energy

Other formulas in Strain Energy category

How to Evaluate Strain Energy given Torsion Moment Value?

FAQs on Strain Energy given Torsion Moment Value

Variable Name

GoStrain Energy due to Pure Shear Formula

GoStrain Energy due to Torsion in Hollow Shaft Formula