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Shear Area given Strain Energy in Shear Formula

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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. Check FAQs

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

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

Shear Area given Strain Energy in Shear Example

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Here is how the Shear Area given Strain Energy in Shear equation looks like with Values.

Here is how the Shear Area given Strain Energy in Shear equation looks like with Units.

Here is how the Shear Area given Strain Energy in Shear equation looks like.

5635.1962 = (143^{2}) \cdot \frac{3000}{2 \cdot 136.08 \cdot 40}

5635.1962mm² = ({143kN}^{2}) \cdot \frac{3000mm}{2 \cdot 136.08N*m \cdot 40GPa}

5635.1962 = (143^{2}) \cdot \frac{3000}{2 \cdot 136.08 \cdot 40}

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Shear Area given Strain Energy in Shear Solution

Follow our step by step solution on how to calculate Shear Area given Strain Energy in Shear?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = ({143kN}^{2}) \cdot \frac{3000mm}{2 \cdot 136.08N*m \cdot 40GPa}

Next Step Convert Units

∴

A = ({143000N}^{2}) \cdot \frac{3m}{2 \cdot 136.08J \cdot 4E+10Pa}

Next Step Prepare to Evaluate

∴

A = (143000^{2}) \cdot \frac{3}{2 \cdot 136.08 \cdot 4E+10}

Next Step Evaluate

∴

A = 0.00563519620811287m²

Next Step Convert to Output's Unit

∴

A = 5635.19620811287mm²

LAST Step Rounding Answer

∴

A = 5635.1962mm²

Shear Area given Strain Energy in Shear Formula Elements

Variables

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

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

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

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

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 Area given Strain Energy in Shear?

Shear Area given Strain Energy in Shear evaluator uses Area of Cross-Section = (Shear Force^2)*Length of Member/(2*Strain Energy*Modulus of Rigidity) to evaluate the Area of Cross-Section, The Shear Area given Strain Energy in Shear formula is defined as the calculated reduction of a cross-sectional area. By using this value, one can consider the shear deformation when determining the internal forces. Area of Cross-Section is denoted by A symbol.

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

FAQs on Shear Area given Strain Energy in Shear

What is the formula to find Shear Area given Strain Energy in Shear?

The formula of Shear Area given Strain Energy in Shear is expressed as Area of Cross-Section = (Shear Force^2)*Length of Member/(2*Strain Energy*Modulus of Rigidity). Here is an example- 0.005635 = (143000^2)*3/(2*136.08*40000000000).

How to calculate Shear Area given Strain Energy in Shear?

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

Can the Shear Area given Strain Energy in Shear be negative?

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

Which unit is used to measure Shear Area given Strain Energy in Shear?

Shear Area given Strain Energy in Shear is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Shear Area given Strain Energy in Shear can be measured.

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Shear Area given Strain Energy in Shear Formula

Shear Area given Strain Energy in Shear Example

Shear Area given Strain Energy in Shear Solution

Shear Area given Strain Energy in Shear Formula Elements

Other formulas in Strain Energy in Structural Members category

How to Evaluate Shear Area given Strain Energy in Shear?

FAQs on Shear Area given Strain Energy in Shear

Variable Name