FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

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

GoLength over which Deformation takes place using Strain Energy Formula

Fx Copy

LaTeX Copy

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

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

L - Length of Member?U - Strain Energy?J - Polar Moment of Inertia?G_Torsion - Modulus of Rigidity?T - Torque SOM?

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

With values

With units

Only example

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

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

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

3003.7289 = \frac{2 \cdot 136.08 \cdot 0.0041 \cdot 40}{{121.9}^{2}}

3003.7289mm = \frac{2 \cdot 136.08N*m \cdot 0.0041m⁴ \cdot 40GPa}{{121.9kN*m}^{2}}

3003.7289 = \frac{2 \cdot 136.08 \cdot 0.0041 \cdot 40}{{121.9}^{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

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

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = \frac{2 \cdot 136.08N*m \cdot 0.0041m⁴ \cdot 40GPa}{{121.9kN*m}^{2}}

Next Step Convert Units

∴

L = \frac{2 \cdot 136.08J \cdot 0.0041m⁴ \cdot 4E+10Pa}{{121900N*m}^{2}}

Next Step Prepare to Evaluate

∴

L = \frac{2 \cdot 136.08 \cdot 0.0041 \cdot 4E+10}{121900^{2}}

Next Step Evaluate

∴

L = 3.00372890001824m

Next Step Convert to Output's Unit

∴

L = 3003.72890001824mm

LAST Step Rounding Answer

∴

L = 3003.7289mm

Length over which Deformation takes place given Strain Energy in Torsion 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

Polar Moment of Inertia

Polar Moment of Inertia is the moment of inertia of a cross-section with respect to its polar axis, which is an axis at right angles to the plane of the cross-section.

Symbol: J

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Polar Moment of Inertia

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

Torque SOM

Torque SOM is a measure of the force that can cause an object to rotate about an axis.

Symbol: T

Measurement: TorqueUnit: kN*m

Note: Value can be positive or negative.

Formulas to find Torque SOM

Other Formulas to find Length of Member

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 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 Torsion?

Length over which Deformation takes place given Strain Energy in Torsion evaluator uses Length of Member = (2*Strain Energy*Polar Moment of Inertia*Modulus of Rigidity)/Torque SOM^2 to evaluate the Length of Member, The Length over which Deformation takes place given Strain Energy in Torsion formula is defined as the original length of the specimen or structure or body before deformation takes place due to torsional strain energy. Length of Member is denoted by L symbol.

How to evaluate Length over which Deformation takes place given Strain Energy in Torsion using this online evaluator? To use this online evaluator for Length over which Deformation takes place given Strain Energy in Torsion, enter Strain Energy (U), Polar Moment of Inertia (J), Modulus of Rigidity (G_Torsion) & Torque SOM (T) and hit the calculate button.

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

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

The formula of Length over which Deformation takes place given Strain Energy in Torsion is expressed as Length of Member = (2*Strain Energy*Polar Moment of Inertia*Modulus of Rigidity)/Torque SOM^2. Here is an example- 3.003729 = (2*136.08*0.0041*40000000000)/121900^2.

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

With Strain Energy (U), Polar Moment of Inertia (J), Modulus of Rigidity (G_Torsion) & Torque SOM (T) we can find Length over which Deformation takes place given Strain Energy in Torsion using the formula - Length of Member = (2*Strain Energy*Polar Moment of Inertia*Modulus of Rigidity)/Torque SOM^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*Area of Cross-Section*Modulus of Rigidity/(Shear Force^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 Torsion be negative?

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

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

Length over which Deformation takes place given Strain Energy in Torsion 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 Torsion can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

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

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

​GoLength over which Deformation takes place using Strain Energy Formula

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

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

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

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

Variable Name

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

GoLength over which Deformation takes place using Strain Energy Formula