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Shear Stress given Shear Resilience Formula

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

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

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

Shear Stress given Shear Resilience Example

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

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

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

55 = \sqrt{2 \cdot 37812.5 \cdot 40}

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

55 = \sqrt{2 \cdot 37812.5 \cdot 40}

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Shear Stress given Shear Resilience Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

τ = \sqrt{2 \cdot 37812.5J/m³ \cdot 40GPa}

Next Step Convert Units

∴

τ = \sqrt{2 \cdot 37812.5J/m³ \cdot 4E+10Pa}

Next Step Prepare to Evaluate

∴

τ = \sqrt{2 \cdot 37812.5 \cdot 4E+10}

Next Step Evaluate

∴

τ = 55000000Pa

LAST Step Convert to Output's Unit

∴

τ = 55MPa

Shear Stress given Shear Resilience Formula Elements

Variables

Functions

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Shear Resilience category

Go Shear Resilience

SEV = \frac{τ^{2}}{2 \cdot G Torsion}

Go Modulus of Rigidity given Shear Resilience

G Torsion = \frac{τ^{2}}{2 \cdot SEV}

How to Evaluate Shear Stress given Shear Resilience?

Shear Stress given Shear Resilience evaluator uses Shear Stress = sqrt(2*Shear Resilience*Modulus of Rigidity) to evaluate the Shear Stress, The Shear Stress given Shear Resilience formula is defined as the shear loading or stress that produces given shear resilience when the modulus of rigidity is unaltered. Shear Stress is denoted by τ symbol.

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

FAQs on Shear Stress given Shear Resilience

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

The formula of Shear Stress given Shear Resilience is expressed as Shear Stress = sqrt(2*Shear Resilience*Modulus of Rigidity). Here is an example- 4.9E-5 = sqrt(2*37812.5*40000000000).

How to calculate Shear Stress given Shear Resilience?

With Shear Resilience (SEV) & Modulus of Rigidity (G_Torsion) we can find Shear Stress given Shear Resilience using the formula - Shear Stress = sqrt(2*Shear Resilience*Modulus of Rigidity). This formula also uses Square Root (sqrt) function(s).

Can the Shear Stress given Shear Resilience be negative?

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

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

Shear Stress given Shear Resilience 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 Resilience can be measured.

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