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Modulus of Rigidity given Shear Stress Formula

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Modulus of Rigidity is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is. Check FAQs

G = (\frac{𝜏}{𝜂})

G - Modulus of Rigidity?𝜏 - Shear Stress?𝜂 - Shear Strain?

Modulus of Rigidity given Shear Stress Example

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

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

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

2.8571 = (\frac{5}{1.75})

2.8571MPa = (\frac{5MPa}{1.75})

2.8571 = (\frac{5}{1.75})

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Modulus of Rigidity given Shear Stress Solution

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

FIRST Step Consider the formula

G = (\frac{𝜏}{𝜂})

Next Step Substitute values of Variables

∴

G = (\frac{5MPa}{1.75})

Next Step Convert Units

∴

G = (\frac{5E+6Pa}{1.75})

Next Step Prepare to Evaluate

∴

G = (\frac{5E+6}{1.75})

Next Step Evaluate

∴

G = 2857142.85714286Pa

Next Step Convert to Output's Unit

∴

G = 2.85714285714286MPa

LAST Step Rounding Answer

∴

G = 2.8571MPa

Modulus of Rigidity given Shear Stress Formula Elements

Variables

Modulus of Rigidity

Modulus of Rigidity is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.

Symbol: G

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity

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: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress

Shear Strain

The Shear Strain is the ratio of the change in deformation to its original length perpendicular to the axes of the member due to shear stress.

Symbol: 𝜂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Shear Strain

Other formulas in FOS and Moduli category

Go Modulus of Elasticity given Tensile Stress

E = (\frac{σ t}{ε tensile})

Go Modulus of Elasticity given Compressive Stress

E = (\frac{σ c}{ε compressive})

Go Factor of Safety

F.O.S = \frac{U}{P}

Go Modulus of Elasticity given Normal Stress

E = \frac{σ n}{ε component}

How to Evaluate Modulus of Rigidity given Shear Stress?

Modulus of Rigidity given Shear Stress evaluator uses Modulus of Rigidity = (Shear Stress/Shear Strain) to evaluate the Modulus of Rigidity, The Modulus of Rigidity given Shear Stress formula is defined as the ratio of shear stress to the shear strain within the elastic limit. Modulus of Rigidity is denoted by G symbol.

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

FAQs on Modulus of Rigidity given Shear Stress

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

The formula of Modulus of Rigidity given Shear Stress is expressed as Modulus of Rigidity = (Shear Stress/Shear Strain). Here is an example- 2.9E-6 = (5000000/1.75).

How to calculate Modulus of Rigidity given Shear Stress?

With Shear Stress (𝜏) & Shear Strain (𝜂) we can find Modulus of Rigidity given Shear Stress using the formula - Modulus of Rigidity = (Shear Stress/Shear Strain).

Can the Modulus of Rigidity given Shear Stress be negative?

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

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

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

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