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Modulus of Rigidity given Shear Resilience Formula

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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. Check FAQs

G Torsion = \frac{τ^{2}}{2 \cdot SEV}

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

Modulus of Rigidity given Shear Resilience Example

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Here is how the Modulus of Rigidity given Shear Resilience equation looks like with Values.

Here is how the Modulus of Rigidity given Shear Resilience equation looks like with Units.

Here is how the Modulus of Rigidity given Shear Resilience equation looks like.

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

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

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

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Modulus of Rigidity given Shear Resilience Solution

Follow our step by step solution on how to calculate Modulus of Rigidity given Shear Resilience?

FIRST Step Consider the formula

G Torsion = \frac{τ^{2}}{2 \cdot SEV}

Next Step Substitute values of Variables

∴

G Torsion = \frac{{55MPa}^{2}}{2 \cdot 37812.5J/m³}

Next Step Convert Units

∴

G Torsion = \frac{{5.5E+7Pa}^{2}}{2 \cdot 37812.5J/m³}

Next Step Prepare to Evaluate

∴

G Torsion = \frac{{5.5E+7}^{2}}{2 \cdot 37812.5}

Next Step Evaluate

∴

G Torsion = 40000000000Pa

LAST Step Convert to Output's Unit

∴

G Torsion = 40GPa

Modulus of Rigidity given Shear Resilience Formula Elements

Variables

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

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

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

Other formulas in Shear Resilience category

Go Shear Resilience

SEV = \frac{τ^{2}}{2 \cdot G Torsion}

Go Shear Stress given Shear Resilience

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

How to Evaluate Modulus of Rigidity given Shear Resilience?

Modulus of Rigidity given Shear Resilience evaluator uses Modulus of Rigidity = Shear Stress^2/(2*Shear Resilience) to evaluate the Modulus of Rigidity, The Modulus of Rigidity given Shear Resilience formula is defined as the modulus of rigidity of the material that allows the production of shared shear resilience when shear loading is unaltered. Modulus of Rigidity is denoted by G_Torsion symbol.

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

FAQs on Modulus of Rigidity given Shear Resilience

What is the formula to find Modulus of Rigidity given Shear Resilience?

The formula of Modulus of Rigidity given Shear Resilience is expressed as Modulus of Rigidity = Shear Stress^2/(2*Shear Resilience). Here is an example- 5E-8 = 55000000^2/(2*37812.5).

How to calculate Modulus of Rigidity given Shear Resilience?

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

Can the Modulus of Rigidity given Shear Resilience be negative?

No, the Modulus of Rigidity given Shear Resilience, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of Rigidity given Shear Resilience?

Modulus of Rigidity given Shear Resilience is usually measured using the Gigapascal[GPa] for Pressure. Pascal[GPa], Kilopascal[GPa], Bar[GPa] are the few other units in which Modulus of Rigidity given Shear Resilience can be measured.

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