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Shear Force using Strain Energy Formula

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

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

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

Shear Force using Strain Energy Example

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Here is how the Shear Force using Strain Energy equation looks like with Values.

Here is how the Shear Force using Strain Energy equation looks like with Units.

Here is how the Shear Force using Strain Energy equation looks like.

142.5527 = \sqrt{2 \cdot 136.08 \cdot 5600 \cdot \frac{40}{3000}}

142.5527kN = \sqrt{2 \cdot 136.08N*m \cdot 5600mm² \cdot \frac{40GPa}{3000mm}}

142.5527 = \sqrt{2 \cdot 136.08 \cdot 5600 \cdot \frac{40}{3000}}

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Shear Force using Strain Energy Solution

Follow our step by step solution on how to calculate Shear Force using Strain Energy?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \sqrt{2 \cdot 136.08N*m \cdot 5600mm² \cdot \frac{40GPa}{3000mm}}

Next Step Convert Units

∴

V = \sqrt{2 \cdot 136.08J \cdot 0.0056m² \cdot \frac{4E+10Pa}{3m}}

Next Step Prepare to Evaluate

∴

V = \sqrt{2 \cdot 136.08 \cdot 0.0056 \cdot \frac{4E+10}{3}}

Next Step Evaluate

∴

V = 142552.727087208N

Next Step Convert to Output's Unit

∴

V = 142.552727087208kN

LAST Step Rounding Answer

∴

V = 142.5527kN

Shear Force using Strain Energy Formula Elements

Variables

Functions

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

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

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

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

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

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 Strain Energy in Structural Members category

Go Stress using Hook's Law

σ = E \cdot ε 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}}

Go Shear Area given Strain Energy in Shear

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

How to Evaluate Shear Force using Strain Energy?

Shear Force using Strain Energy evaluator uses Shear Force = sqrt(2*Strain Energy*Area of Cross-Section*Modulus of Rigidity/Length of Member) to evaluate the Shear Force, The Shear Force using Strain Energy formula is defined as a force that tends to produce a sliding failure on a material along a plane that is parallel to the direction of the force. Shear Force is denoted by V symbol.

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

FAQs on Shear Force using Strain Energy

What is the formula to find Shear Force using Strain Energy?

The formula of Shear Force using Strain Energy is expressed as Shear Force = sqrt(2*Strain Energy*Area of Cross-Section*Modulus of Rigidity/Length of Member). Here is an example- 0.142553 = sqrt(2*136.08*0.0056*40000000000/3).

How to calculate Shear Force using Strain Energy?

With Strain Energy (U), Area of Cross-Section (A), Modulus of Rigidity (G_Torsion) & Length of Member (L) we can find Shear Force using Strain Energy using the formula - Shear Force = sqrt(2*Strain Energy*Area of Cross-Section*Modulus of Rigidity/Length of Member). This formula also uses Square Root (sqrt) function(s).

Can the Shear Force using Strain Energy be negative?

No, the Shear Force using Strain Energy, measured in Force cannot be negative.

Which unit is used to measure Shear Force using Strain Energy?

Shear Force using Strain Energy is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Shear Force using Strain Energy can be measured.

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Shear Force using Strain Energy Formula

Shear Force using Strain Energy Example

Shear Force using Strain Energy Solution

Shear Force using Strain Energy Formula Elements

Other formulas in Strain Energy in Structural Members category

How to Evaluate Shear Force using Strain Energy?

FAQs on Shear Force using Strain Energy

Variable Name