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Shear Stress given Shear Strain Formula

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

𝜏 = (G \cdot 𝜂)

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

Shear Stress given Shear Strain Example

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With units

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Here is how the Shear Stress given Shear Strain equation looks like with Values.

Here is how the Shear Stress given Shear Strain equation looks like with Units.

Here is how the Shear Stress given Shear Strain equation looks like.

63 = (36 \cdot 1.75)

63MPa = (36MPa \cdot 1.75)

63 = (36 \cdot 1.75)

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Shear Stress given Shear Strain Solution

Follow our step by step solution on how to calculate Shear Stress given Shear Strain?

FIRST Step Consider the formula

𝜏 = (G \cdot 𝜂)

Next Step Substitute values of Variables

∴

𝜏 = (36MPa \cdot 1.75)

Next Step Convert Units

∴

𝜏 = (3.6E+7Pa \cdot 1.75)

Next Step Prepare to Evaluate

∴

𝜏 = (3.6E+7 \cdot 1.75)

Next Step Evaluate

∴

𝜏 = 63000000Pa

LAST Step Convert to Output's Unit

∴

𝜏 = 63MPa

Shear Stress given Shear Strain Formula Elements

Variables

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

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 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 Stress category

Go Normal Stress given Modulus of Elasticity

σ n = ε component \cdot E

Go Permissible Stress using Factor of Safety

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

Go Ultimate Stress using Factor of Safety

U = F.O.S \cdot P

Go Compressive Stress given Compressive Strain

σ c = (E \cdot ε compressive)

How to Evaluate Shear Stress given Shear Strain?

Shear Stress given Shear Strain evaluator uses Shear Stress = (Modulus of Rigidity*Shear Strain) to evaluate the Shear Stress, The Shear Stress given Shear Strain formula is defined as the product of the modulus of rigidity and shear strain. Shear Stress is denoted by 𝜏 symbol.

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

FAQs on Shear Stress given Shear Strain

What is the formula to find Shear Stress given Shear Strain?

The formula of Shear Stress given Shear Strain is expressed as Shear Stress = (Modulus of Rigidity*Shear Strain). Here is an example- 6.3E-5 = (36000000*1.75).

How to calculate Shear Stress given Shear Strain?

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

Can the Shear Stress given Shear Strain be negative?

No, the Shear Stress given Shear Strain, measured in Stress cannot be negative.

Which unit is used to measure Shear Stress given Shear Strain?

Shear Stress given Shear Strain is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Shear Stress given Shear Strain can be measured.

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