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Shear Resilience Formula

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Shear Resilience is the total strain energy stored in a given volume of material within the elastic limit. Check FAQs

SEV = \frac{τ^{2}}{2 \cdot G Torsion}

SEV - Shear Resilience?τ - Shear Stress?G_Torsion - Modulus of Rigidity?

Shear Resilience Example

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Here is how the Shear Resilience equation looks like with Values.

Here is how the Shear Resilience equation looks like with Units.

Here is how the Shear Resilience equation looks like.

37812.5 = \frac{55^{2}}{2 \cdot 40}

37812.5J/m³ = \frac{{55MPa}^{2}}{2 \cdot 40GPa}

37812.5 = \frac{55^{2}}{2 \cdot 40}

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Shear Resilience Solution

Follow our step by step solution on how to calculate Shear Resilience?

FIRST Step Consider the formula

SEV = \frac{τ^{2}}{2 \cdot G Torsion}

Next Step Substitute values of Variables

∴

SEV = \frac{{55MPa}^{2}}{2 \cdot 40GPa}

Next Step Convert Units

∴

SEV = \frac{{5.5E+7Pa}^{2}}{2 \cdot 4E+10Pa}

Next Step Prepare to Evaluate

∴

SEV = \frac{{5.5E+7}^{2}}{2 \cdot 4E+10}

LAST Step Evaluate

∴

SEV = 37812.5J/m³

Shear Resilience Formula Elements

Variables

Shear Resilience

Shear Resilience is the total strain energy stored in a given volume of material within the elastic limit.

Symbol: SEV

Measurement: Energy DensityUnit: J/m³

Note: Value can be positive or negative.

Formulas to find Shear Resilience

Shear Stress

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

Symbol: τ

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress

Modulus of Rigidity

Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.

Symbol: G_Torsion

Measurement: PressureUnit: GPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity

Other formulas in Shear Resilience category

Go Modulus of Rigidity given Shear Resilience

G Torsion = \frac{τ^{2}}{2 \cdot SEV}

Go Shear Stress given Shear Resilience

τ = \sqrt{2 \cdot SEV \cdot G Torsion}

How to Evaluate Shear Resilience?

Shear Resilience evaluator uses Shear Resilience = Shear Stress^2/(2*Modulus of Rigidity) to evaluate the Shear Resilience, The Shear Resilience formula is defined as strain energy stored in the material due to the applied shear force or shear loading. Shear Resilience is denoted by SEV symbol.

How to evaluate Shear Resilience using this online evaluator? To use this online evaluator for Shear Resilience, enter Shear Stress (τ) & Modulus of Rigidity (G_Torsion) and hit the calculate button.

FAQs on Shear Resilience

What is the formula to find Shear Resilience?

The formula of Shear Resilience is expressed as Shear Resilience = Shear Stress^2/(2*Modulus of Rigidity). Here is an example- 37812.5 = 55000000^2/(2*40000000000).

How to calculate Shear Resilience?

With Shear Stress (τ) & Modulus of Rigidity (G_Torsion) we can find Shear Resilience using the formula - Shear Resilience = Shear Stress^2/(2*Modulus of Rigidity).

Can the Shear Resilience be negative?

Yes, the Shear Resilience, measured in Energy Density can be negative.

Which unit is used to measure Shear Resilience?

Shear Resilience is usually measured using the Joule per Cubic Meter[J/m³] for Energy Density. Kilojoule per Cubic Meter[J/m³], Megajoule per Cubic Meter[J/m³] are the few other units in which Shear Resilience can be measured.

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