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Shear Modulus of Elasticity given Strain Energy in Shear Formula

GoShear Modulus of Elasticity given Strain Energy in Torsion Formula

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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. Check FAQs

G Torsion = (V^{2}) \cdot \frac{L}{2 \cdot A \cdot U}

G_Torsion - Modulus of Rigidity?V - Shear Force?L - Length of Member?A - Area of Cross-Section?U - Strain Energy?

Shear Modulus of Elasticity given Strain Energy in Shear Example

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Here is how the Shear Modulus of Elasticity given Strain Energy in Shear equation looks like with Values.

Here is how the Shear Modulus of Elasticity given Strain Energy in Shear equation looks like with Units.

Here is how the Shear Modulus of Elasticity given Strain Energy in Shear equation looks like.

40.2514 = (143^{2}) \cdot \frac{3000}{2 \cdot 5600 \cdot 136.08}

40.2514GPa = ({143kN}^{2}) \cdot \frac{3000mm}{2 \cdot 5600mm² \cdot 136.08N*m}

40.2514 = (143^{2}) \cdot \frac{3000}{2 \cdot 5600 \cdot 136.08}

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Shear Modulus of Elasticity given Strain Energy in Shear Solution

Follow our step by step solution on how to calculate Shear Modulus of Elasticity given Strain Energy in Shear?

FIRST Step Consider the formula

G Torsion = (V^{2}) \cdot \frac{L}{2 \cdot A \cdot U}

Next Step Substitute values of Variables

∴

G Torsion = ({143kN}^{2}) \cdot \frac{3000mm}{2 \cdot 5600mm² \cdot 136.08N*m}

Next Step Convert Units

∴

G Torsion = ({143000N}^{2}) \cdot \frac{3m}{2 \cdot 0.0056m² \cdot 136.08J}

Next Step Prepare to Evaluate

∴

G Torsion = (143000^{2}) \cdot \frac{3}{2 \cdot 0.0056 \cdot 136.08}

Next Step Evaluate

∴

G Torsion = 40251401486.5205Pa

Next Step Convert to Output's Unit

∴

G Torsion = 40.2514014865205GPa

LAST Step Rounding Answer

∴

G Torsion = 40.2514GPa

Shear Modulus of Elasticity given Strain Energy in Shear Formula Elements

Variables

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

Shear Force

Shear Force is the force which causes shear deformation to occur in the shear plane.

Symbol: V

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Shear Force

Length of Member

Length of Member is the measurement or extent of member (beam or column) from end to end.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Member

Area of Cross-Section

Area of Cross-section is a cross-sectional area which we obtain when the same object is cut into two pieces. The area of that particular cross-section is known as the cross-sectional area.

Symbol: A

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Cross-Section

Strain Energy

Strain Energy is the energy adsorption of material due to strain under an applied load. It is also equal to the work done on a specimen by an external force.

Symbol: U

Measurement: EnergyUnit: N*m

Note: Value can be positive or negative.

Formulas to find Strain Energy

Other Formulas to find Modulus of Rigidity

Go Shear Modulus of Elasticity given Strain Energy in Torsion

G Torsion = (T^{2}) \cdot \frac{L}{2 \cdot J \cdot U}

Other formulas in Strain Energy in Structural Members category

Go Stress using Hook's Law

σ = E \cdot ε L

Go Shear Force using Strain Energy

V = \sqrt{2 \cdot U \cdot A \cdot \frac{G Torsion}{L}}

Go Strain Energy in Shear

U = (V^{2}) \cdot \frac{L}{2 \cdot A \cdot G Torsion}

Go Length over which Deformation takes place given Strain Energy in Shear

L = 2 \cdot U \cdot A \cdot \frac{G Torsion}{V^{2}}

How to Evaluate Shear Modulus of Elasticity given Strain Energy in Shear?

Shear Modulus of Elasticity given Strain Energy in Shear evaluator uses Modulus of Rigidity = (Shear Force^2)*Length of Member/(2*Area of Cross-Section*Strain Energy) to evaluate the Modulus of Rigidity, The Shear Modulus of Elasticity given Strain Energy in Shear formula is defined as the slope of the linear elastic region of the shear stress-strain curve. Modulus of Rigidity is denoted by G_Torsion symbol.

How to evaluate Shear Modulus of Elasticity given Strain Energy in Shear using this online evaluator? To use this online evaluator for Shear Modulus of Elasticity given Strain Energy in Shear, enter Shear Force (V), Length of Member (L), Area of Cross-Section (A) & Strain Energy (U) and hit the calculate button.

FAQs on Shear Modulus of Elasticity given Strain Energy in Shear

What is the formula to find Shear Modulus of Elasticity given Strain Energy in Shear?

The formula of Shear Modulus of Elasticity given Strain Energy in Shear is expressed as Modulus of Rigidity = (Shear Force^2)*Length of Member/(2*Area of Cross-Section*Strain Energy). Here is an example- 4E-8 = (143000^2)*3/(2*0.0056*136.08).

How to calculate Shear Modulus of Elasticity given Strain Energy in Shear?

With Shear Force (V), Length of Member (L), Area of Cross-Section (A) & Strain Energy (U) we can find Shear Modulus of Elasticity given Strain Energy in Shear using the formula - Modulus of Rigidity = (Shear Force^2)*Length of Member/(2*Area of Cross-Section*Strain Energy).

What are the other ways to Calculate Modulus of Rigidity?

Here are the different ways to Calculate Modulus of Rigidity-

Modulus of Rigidity=(Torque SOM^2)*Length of Member/(2*Polar Moment of Inertia*Strain Energy)

Can the Shear Modulus of Elasticity given Strain Energy in Shear be negative?

No, the Shear Modulus of Elasticity given Strain Energy in Shear, measured in Pressure cannot be negative.

Which unit is used to measure Shear Modulus of Elasticity given Strain Energy in Shear?

Shear Modulus of Elasticity given Strain Energy in Shear is usually measured using the Gigapascal[GPa] for Pressure. Pascal[GPa], Kilopascal[GPa], Bar[GPa] are the few other units in which Shear Modulus of Elasticity given Strain Energy in Shear can be measured.

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Shear Modulus of Elasticity given Strain Energy in Shear Formula

​GoShear Modulus of Elasticity given Strain Energy in Torsion Formula

Shear Modulus of Elasticity given Strain Energy in Shear Example

Shear Modulus of Elasticity given Strain Energy in Shear Solution

Shear Modulus of Elasticity given Strain Energy in Shear Formula Elements

Other Formulas to find Modulus of Rigidity

Other formulas in Strain Energy in Structural Members category

How to Evaluate Shear Modulus of Elasticity given Strain Energy in Shear?

FAQs on Shear Modulus of Elasticity given Strain Energy in Shear

Variable Name

GoShear Modulus of Elasticity given Strain Energy in Torsion Formula