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

GoShear Stress Produced given Strain Energy Stored in Body Due to Shear Stress 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 w}{V T}}

𝜏 - Shear Stress in body?G - Modulus of rigidity Of Bar?w - Work Done by Load?V_T - Volume of Body?

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

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Here is how the Shear Stress Produced given Work Done by Gradually Applied Shear Force equation looks like with Values.

Here is how the Shear Stress Produced given Work Done by Gradually Applied Shear Force equation looks like with Units.

Here is how the Shear Stress Produced given Work Done by Gradually Applied Shear Force equation looks like.

0.1195 = \sqrt{\frac{2 \cdot 15 \cdot 30}{63}}

0.1195MPa = \sqrt{\frac{2 \cdot 15MPa \cdot 30KJ}{63m³}}

0.1195 = \sqrt{\frac{2 \cdot 15 \cdot 30}{63}}

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

Follow our step by step solution on how to calculate Shear Stress Produced given Work Done by Gradually Applied Shear Force?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

𝜏 = \sqrt{\frac{2 \cdot 15MPa \cdot 30KJ}{63m³}}

Next Step Convert Units

∴

𝜏 = \sqrt{\frac{2 \cdot 1.5E+7Pa \cdot 30000J}{63m³}}

Next Step Prepare to Evaluate

∴

𝜏 = \sqrt{\frac{2 \cdot 1.5E+7 \cdot 30000}{63}}

Next Step Evaluate

∴

𝜏 = 119522.860933439Pa

Next Step Convert to Output's Unit

∴

𝜏 = 0.119522860933439MPa

LAST Step Rounding Answer

∴

𝜏 = 0.1195MPa

Shear Stress Produced given Work Done by Gradually Applied Shear Force 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

Work Done by Load

Work Done by Load on a system is energy transferred to the system from its surroundings.

Symbol: w

Measurement: EnergyUnit: KJ

Note: Value can be positive or negative.

Formulas to find Work Done by Load

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 Strain Energy Stored in Body Due to Shear Stress

𝜏 = \sqrt{\frac{2 \cdot G \cdot U body}{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 Work Done by Gradually Applied Shear Force?

Shear Stress Produced given Work Done by Gradually Applied Shear Force evaluator uses Shear Stress in body = sqrt((2*Modulus of rigidity Of Bar*Work Done by Load)/(Volume of Body)) to evaluate the Shear Stress in body, The Shear stress Produced given work done by gradually applied shear force formula is defined as a 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 Work Done by Gradually Applied Shear Force using this online evaluator? To use this online evaluator for Shear Stress Produced given Work Done by Gradually Applied Shear Force, enter Modulus of rigidity Of Bar (G), Work Done by Load (w) & Volume of Body (V_T) and hit the calculate button.

FAQs on Shear Stress Produced given Work Done by Gradually Applied Shear Force

What is the formula to find Shear Stress Produced given Work Done by Gradually Applied Shear Force?

The formula of Shear Stress Produced given Work Done by Gradually Applied Shear Force is expressed as Shear Stress in body = sqrt((2*Modulus of rigidity Of Bar*Work Done by Load)/(Volume of Body)). Here is an example- 1.2E-7 = sqrt((2*15000000*30000)/(63)).

How to calculate Shear Stress Produced given Work Done by Gradually Applied Shear Force?

With Modulus of rigidity Of Bar (G), Work Done by Load (w) & Volume of Body (V_T) we can find Shear Stress Produced given Work Done by Gradually Applied Shear Force using the formula - Shear Stress in body = sqrt((2*Modulus of rigidity Of Bar*Work Done by Load)/(Volume of Body)). This formula also uses Square Root Function 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*Strain Energy in body)/(Volume of Body))

Can the Shear Stress Produced given Work Done by Gradually Applied Shear Force be negative?

No, the Shear Stress Produced given Work Done by Gradually Applied Shear Force, measured in Stress cannot be negative.

Which unit is used to measure Shear Stress Produced given Work Done by Gradually Applied Shear Force?

Shear Stress Produced given Work Done by Gradually Applied Shear Force 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 Work Done by Gradually Applied Shear Force can be measured.

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

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

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

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

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

FAQs on Shear Stress Produced given Work Done by Gradually Applied Shear Force

Variable Name

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