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Strain Energy due to Pure Shear Formula

GoStrain Energy due to Torsion in Hollow Shaft Formula

GoStrain Energy given Applied Tension Load Formula

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

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

U - Strain Energy?𝜏 - Shear Stress?V_T - Volume?G_pa - Shear Modulus?

Strain Energy due to Pure Shear Example

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With units

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Here is how the Strain Energy due to Pure Shear equation looks like with Values.

Here is how the Strain Energy due to Pure Shear equation looks like with Units.

Here is how the Strain Energy due to Pure Shear equation looks like.

0.315 = 100 \cdot 100 \cdot \frac{0.63}{2 \cdot 10.0002}

0.315KJ = 100Pa \cdot 100Pa \cdot \frac{0.63m³}{2 \cdot 10.0002Pa}

0.315 = 100 \cdot 100 \cdot \frac{0.63}{2 \cdot 10.0002}

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Strain Energy due to Pure Shear Solution

Follow our step by step solution on how to calculate Strain Energy due to Pure Shear?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

U = 100Pa \cdot 100Pa \cdot \frac{0.63m³}{2 \cdot 10.0002Pa}

Next Step Prepare to Evaluate

∴

U = 100 \cdot 100 \cdot \frac{0.63}{2 \cdot 10.0002}

Next Step Evaluate

∴

U = 314.995275070874J

Next Step Convert to Output's Unit

∴

U = 0.314995275070874KJ

LAST Step Rounding Answer

∴

U = 0.315KJ

Strain Energy due to Pure Shear 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

Volume is the amount of space that a substance or object occupies or that is enclosed within a container.

Symbol: V_T

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume

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 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}

Go Strain Energy given Torsion Moment Value

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

Other formulas in Strain Energy category

Go Strain Energy Density

S d = 0.5 \cdot σ \cdot ε

How to Evaluate Strain Energy due to Pure Shear?

Strain Energy due to Pure Shear evaluator uses Strain Energy = Shear Stress*Shear Stress*Volume/(2*Shear Modulus) to evaluate the Strain Energy, The Strain Energy due to Pure Shear is defined as the measure of the type of potential energy that is stored in a structural member as a result of elastic deformation. Strain Energy is denoted by U symbol.

How to evaluate Strain Energy due to Pure Shear using this online evaluator? To use this online evaluator for Strain Energy due to Pure Shear, enter Shear Stress (𝜏), Volume (V_T) & Shear Modulus (G_pa) and hit the calculate button.

FAQs on Strain Energy due to Pure Shear

What is the formula to find Strain Energy due to Pure Shear?

The formula of Strain Energy due to Pure Shear is expressed as Strain Energy = Shear Stress*Shear Stress*Volume/(2*Shear Modulus). Here is an example- 0.000315 = 100*100*0.63/(2*10.00015).

How to calculate Strain Energy due to Pure Shear?

With Shear Stress (𝜏), Volume (V_T) & Shear Modulus (G_pa) we can find Strain Energy due to Pure Shear using the formula - Strain Energy = Shear Stress*Shear Stress*Volume/(2*Shear Modulus).

What are the other ways to Calculate Strain Energy?

Here are the different ways to Calculate Strain Energy-

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)
Strain Energy=(Bending Moment*Bending Moment*Length)/(2*Elastic Modulus*Moment of Inertia)

Can the Strain Energy due to Pure Shear be negative?

No, the Strain Energy due to Pure Shear, measured in Energy cannot be negative.

Which unit is used to measure Strain Energy due to Pure Shear?

Strain Energy due to Pure Shear is usually measured using the Kilojoule[KJ] for Energy. Joule[KJ], Gigajoule[KJ], Megajoule[KJ] are the few other units in which Strain Energy due to Pure Shear can be measured.

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Strain Energy due to Pure Shear Formula

​GoStrain Energy due to Torsion in Hollow Shaft Formula

​GoStrain Energy given Applied Tension Load Formula

Strain Energy due to Pure Shear Example

Strain Energy due to Pure Shear Solution

Strain Energy due to Pure Shear Formula Elements

Other Formulas to find Strain Energy

Other formulas in Strain Energy category

How to Evaluate Strain Energy due to Pure Shear?

FAQs on Strain Energy due to Pure Shear

Variable Name

GoStrain Energy due to Torsion in Hollow Shaft Formula

GoStrain Energy given Applied Tension Load Formula