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Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress Formula

GoShear Stress Produced given Work Done by Gradually Applied Shear Force Formula

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

𝜏 = \sqrt{\frac{2 \cdot G \cdot U body}{V T}}

𝜏 - Shear Stress in body?G - Modulus of rigidity Of Bar?U_body - Strain Energy in body?V_T - Volume of Body?

Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress Example

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Here is how the Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress equation looks like with Values.

Here is how the Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress equation looks like with Units.

Here is how the Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress equation looks like.

0.0552 = \sqrt{\frac{2 \cdot 15 \cdot 6.4}{63}}

0.0552MPa = \sqrt{\frac{2 \cdot 15MPa \cdot 6.4KJ}{63m³}}

0.0552 = \sqrt{\frac{2 \cdot 15 \cdot 6.4}{63}}

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Strength of Materials » fx Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress

Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress Solution

Follow our step by step solution on how to calculate Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress?

FIRST Step Consider the formula

𝜏 = \sqrt{\frac{2 \cdot G \cdot U body}{V T}}

Next Step Substitute values of Variables

∴

𝜏 = \sqrt{\frac{2 \cdot 15MPa \cdot 6.4KJ}{63m³}}

Next Step Convert Units

∴

𝜏 = \sqrt{\frac{2 \cdot 1.5E+7Pa \cdot 6400J}{63m³}}

Next Step Prepare to Evaluate

∴

𝜏 = \sqrt{\frac{2 \cdot 1.5E+7 \cdot 6400}{63}}

Next Step Evaluate

∴

𝜏 = 55205.2447473883Pa

Next Step Convert to Output's Unit

∴

𝜏 = 0.0552052447473883MPa

LAST Step Rounding Answer

∴

𝜏 = 0.0552MPa

Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress Formula Elements

Variables

Functions

Shear Stress in body

Shear Stress in body 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 in body

Modulus of rigidity Of Bar

Modulus of rigidity of Bar 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 Of Bar

Strain Energy in body

Strain Energy in body is defined as the energy stored in a body due to deformation.

Symbol: U_body

Measurement: EnergyUnit: KJ

Note: Value should be greater than 0.

Formulas to find Strain Energy in body

Volume of Body

Volume of Body is the amount of space that a substance or object occupies or that is enclosed within a container.

Symbol: V_T

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Body

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 to find Shear Stress in body

Go Shear Stress Produced given Work Done by Gradually Applied Shear Force

𝜏 = \sqrt{\frac{2 \cdot G \cdot w}{V T}}

Other formulas in Strain Energy stored in a Body due to Shear Stress category

Go Work Done by Gradually Applied Shear Force given Average Load

w = L avg \cdot D

Go Average Load Value given Work done by Gradually Applied Shear Force

L avg = \frac{w}{D}

Go Work Done by Gradually Applied Shear Force given Shear Stress

w = \frac{𝜏^{2} \cdot V T}{2 \cdot G}

Go Work Done by Gradually Applied Shear Force given Shear Strain

w = \frac{𝜏 \cdot 𝜂 \cdot V T}{2}

How to Evaluate Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress?

Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress evaluator uses Shear Stress in body = sqrt((2*Modulus of rigidity Of Bar*Strain Energy in body)/(Volume of Body)) to evaluate the Shear Stress in body, The Shear Stress produced given strain energy stored in body due to shear stress formula is defined as force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Shear Stress in body is denoted by 𝜏 symbol.

How to evaluate Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress using this online evaluator? To use this online evaluator for Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress, enter Modulus of rigidity Of Bar (G), Strain Energy in body (U_body) & Volume of Body (V_T) and hit the calculate button.

FAQs on Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress

What is the formula to find Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress?

The formula of Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress is expressed as Shear Stress in body = sqrt((2*Modulus of rigidity Of Bar*Strain Energy in body)/(Volume of Body)). Here is an example- 5.5E-8 = sqrt((2*15000000*6400)/(63)).

How to calculate Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress?

With Modulus of rigidity Of Bar (G), Strain Energy in body (U_body) & Volume of Body (V_T) we can find Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress using the formula - Shear Stress in body = sqrt((2*Modulus of rigidity Of Bar*Strain Energy in body)/(Volume of Body)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Shear Stress in body?

Here are the different ways to Calculate Shear Stress in body-

Shear Stress in body=sqrt((2*Modulus of rigidity Of Bar*Work Done by Load)/(Volume of Body))

Can the Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress be negative?

No, the Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress, measured in Stress cannot be negative.

Which unit is used to measure Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress?

Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress 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 Produced given Strain Energy Stored in Body Due to Shear Stress can be measured.

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Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress Formula

​GoShear Stress Produced given Work Done by Gradually Applied Shear Force Formula

Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress Example

Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress Solution

Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress Formula Elements

Other Formulas to find Shear Stress in body

Other formulas in Strain Energy stored in a Body due to Shear Stress category

How to Evaluate Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress?

FAQs on Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress

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GoShear Stress Produced given Work Done by Gradually Applied Shear Force Formula