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

GoLength over which Deformation takes place given Strain Energy in Torsion Formula

GoLength over which Deformation takes place using Strain Energy Formula

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

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

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

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

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Here is how the Length over which Deformation takes place given Strain Energy in Shear equation looks like with Values.

Here is how the Length over which Deformation takes place given Strain Energy in Shear equation looks like with Units.

Here is how the Length over which Deformation takes place given Strain Energy in Shear equation looks like.

2981.2627 = 2 \cdot 136.08 \cdot 5600 \cdot \frac{40}{143^{2}}

2981.2627mm = 2 \cdot 136.08N*m \cdot 5600mm² \cdot \frac{40GPa}{{143kN}^{2}}

2981.2627 = 2 \cdot 136.08 \cdot 5600 \cdot \frac{40}{143^{2}}

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Strength of Materials » fx Length over which Deformation takes place given Strain Energy in Shear

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

Follow our step by step solution on how to calculate Length over which Deformation takes place given Strain Energy in Shear?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = 2 \cdot 136.08N*m \cdot 5600mm² \cdot \frac{40GPa}{{143kN}^{2}}

Next Step Convert Units

∴

L = 2 \cdot 136.08J \cdot 0.0056m² \cdot \frac{4E+10Pa}{{143000N}^{2}}

Next Step Prepare to Evaluate

∴

L = 2 \cdot 136.08 \cdot 0.0056 \cdot \frac{4E+10}{143000^{2}}

Next Step Evaluate

∴

L = 2.98126265343049m

Next Step Convert to Output's Unit

∴

L = 2981.26265343049mm

LAST Step Rounding Answer

∴

L = 2981.2627mm

Length over which Deformation takes place given Strain Energy in Shear Formula Elements

Variables

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

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

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

Other Formulas to find Length of Member

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

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

Go Length over which Deformation takes place using Strain Energy

L = (U \cdot \frac{2 \cdot E \cdot I}{M^{2}})

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 Shear Area given Strain Energy in Shear

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

How to Evaluate Length over which Deformation takes place given Strain Energy in Shear?

Length over which Deformation takes place given Strain Energy in Shear evaluator uses Length of Member = 2*Strain Energy*Area of Cross-Section*Modulus of Rigidity/(Shear Force^2) to evaluate the Length of Member, The Length over which Deformation takes place given Strain Energy in Shear formula is defined as the original length of the specimen, structure or body before the deformation. Length of Member is denoted by L symbol.

How to evaluate Length over which Deformation takes place given Strain Energy in Shear using this online evaluator? To use this online evaluator for Length over which Deformation takes place given Strain Energy in Shear, enter Strain Energy (U), Area of Cross-Section (A), Modulus of Rigidity (G_Torsion) & Shear Force (V) and hit the calculate button.

FAQs on Length over which Deformation takes place given Strain Energy in Shear

What is the formula to find Length over which Deformation takes place given Strain Energy in Shear?

The formula of Length over which Deformation takes place given Strain Energy in Shear is expressed as Length of Member = 2*Strain Energy*Area of Cross-Section*Modulus of Rigidity/(Shear Force^2). Here is an example- 3E+6 = 2*136.08*0.0056*40000000000/(143000^2).

How to calculate Length over which Deformation takes place given Strain Energy in Shear?

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

What are the other ways to Calculate Length of Member?

Here are the different ways to Calculate Length of Member-

Length of Member=(2*Strain Energy*Polar Moment of Inertia*Modulus of Rigidity)/Torque SOM^2
Length of Member=(Strain Energy*(2*Young's Modulus*Area Moment of Inertia)/(Bending Moment^2))

Can the Length over which Deformation takes place given Strain Energy in Shear be negative?

No, the Length over which Deformation takes place given Strain Energy in Shear, measured in Length cannot be negative.

Which unit is used to measure Length over which Deformation takes place given Strain Energy in Shear?

Length over which Deformation takes place given Strain Energy in Shear is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Length over which Deformation takes place given Strain Energy in Shear can be measured.

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

​GoLength over which Deformation takes place given Strain Energy in Torsion Formula

​GoLength over which Deformation takes place using Strain Energy Formula

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

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

Length over which Deformation takes place given Strain Energy in Shear Formula Elements

Other Formulas to find Length of Member

Other formulas in Strain Energy in Structural Members category

How to Evaluate Length over which Deformation takes place given Strain Energy in Shear?

FAQs on Length over which Deformation takes place given Strain Energy in Shear

Variable Name

GoLength over which Deformation takes place given Strain Energy in Torsion Formula

GoLength over which Deformation takes place using Strain Energy Formula