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Strain Energy in Torsion using Total Angle of Twist 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 = 0.5 \cdot τ \cdot 𝜽 \cdot (\frac{180}{π})

U - Strain Energy?τ - Torque?𝜽 - Total Angle of Twist?π - Archimedes' constant?

Strain Energy in Torsion using Total Angle of Twist Example

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Here is how the Strain Energy in Torsion using Total Angle of Twist equation looks like with Values.

Here is how the Strain Energy in Torsion using Total Angle of Twist equation looks like with Units.

Here is how the Strain Energy in Torsion using Total Angle of Twist equation looks like.

0.3182 = 0.5 \cdot 34.4 \cdot 18.5 \cdot (\frac{180}{3.1416})

0.3182KJ = 0.5 \cdot 34.4N*m \cdot 18.5° \cdot (\frac{180}{3.1416})

0.3182 = 0.5 \cdot 34.4 \cdot 18.5 \cdot (\frac{180}{3.1416})

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Strain Energy in Torsion using Total Angle of Twist Solution

Follow our step by step solution on how to calculate Strain Energy in Torsion using Total Angle of Twist?

FIRST Step Consider the formula

U = 0.5 \cdot τ \cdot 𝜽 \cdot (\frac{180}{π})

Next Step Substitute values of Variables

∴

U = 0.5 \cdot 34.4N*m \cdot 18.5° \cdot (\frac{180}{π})

Next Step Substitute values of Constants

∴

U = 0.5 \cdot 34.4N*m \cdot 18.5° \cdot (\frac{180}{3.1416})

Next Step Convert Units

∴

U = 0.5 \cdot 34.4N*m \cdot 0.3229rad \cdot (\frac{180}{3.1416})

Next Step Prepare to Evaluate

∴

U = 0.5 \cdot 34.4 \cdot 0.3229 \cdot (\frac{180}{3.1416})

Next Step Evaluate

∴

U = 318.19999999994J

Next Step Convert to Output's Unit

∴

U = 0.31819999999994KJ

LAST Step Rounding Answer

∴

U = 0.3182KJ

Strain Energy in Torsion using Total Angle of Twist Formula Elements

Variables

Constants

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

Torque

Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.

Symbol: τ

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque

Total Angle of Twist

The Total Angle of Twist is the angle through which a radial section of a body (as a wire or a shaft) deflects from its normal position when the body is subjected to torque.

Symbol: 𝜽

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Total Angle of Twist

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 using Total Angle of Twist?

Strain Energy in Torsion using Total Angle of Twist evaluator uses Strain Energy = 0.5*Torque*Total Angle of Twist*(180/pi) to evaluate the Strain Energy, The Strain Energy in Torsion using Total Angle of Twist formula is defined as the measure of the energy stored in the shaft subjected to torsion within the elastic limit. Energy is stored in the shaft due to this angular distortion. Strain Energy is denoted by U symbol.

How to evaluate Strain Energy in Torsion using Total Angle of Twist using this online evaluator? To use this online evaluator for Strain Energy in Torsion using Total Angle of Twist, enter Torque (τ) & Total Angle of Twist (𝜽) and hit the calculate button.

FAQs on Strain Energy in Torsion using Total Angle of Twist

What is the formula to find Strain Energy in Torsion using Total Angle of Twist?

The formula of Strain Energy in Torsion using Total Angle of Twist is expressed as Strain Energy = 0.5*Torque*Total Angle of Twist*(180/pi). Here is an example- 0.001032 = 0.5*34.4*0.32288591161889*(180/pi).

How to calculate Strain Energy in Torsion using Total Angle of Twist?

With Torque (τ) & Total Angle of Twist (𝜽) we can find Strain Energy in Torsion using Total Angle of Twist using the formula - Strain Energy = 0.5*Torque*Total Angle of Twist*(180/pi). This formula also uses Archimedes' constant .

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 using Total Angle of Twist be negative?

No, the Strain Energy in Torsion using Total Angle of Twist, measured in Energy cannot be negative.

Which unit is used to measure Strain Energy in Torsion using Total Angle of Twist?

Strain Energy in Torsion using Total Angle of Twist 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 using Total Angle of Twist can be measured.

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Strain Energy in Torsion using Total Angle of Twist Formula

​GoStrain Energy due to Pure Shear Formula

​GoStrain Energy due to Torsion in Hollow Shaft Formula

Strain Energy in Torsion using Total Angle of Twist Example

Strain Energy in Torsion using Total Angle of Twist Solution

Strain Energy in Torsion using Total Angle of Twist Formula Elements

Other Formulas to find Strain Energy

Other formulas in Strain Energy category

How to Evaluate Strain Energy in Torsion using Total Angle of Twist?

FAQs on Strain Energy in Torsion using Total Angle of Twist

Variable Name

GoStrain Energy due to Pure Shear Formula

GoStrain Energy due to Torsion in Hollow Shaft Formula