FormulaDen.com

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

Shear Modulus of Elasticity given Strain Energy in Torsion Formula

GoShear Modulus of Elasticity given Strain Energy in Shear Formula

Fx Copy

LaTeX Copy

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

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

Shear Modulus of Elasticity given Strain Energy in Torsion Example

With values

With units

Only example

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

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

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

39.9503 = ({121.9}^{2}) \cdot \frac{3000}{2 \cdot 0.0041 \cdot 136.08}

39.9503GPa = ({121.9kN*m}^{2}) \cdot \frac{3000mm}{2 \cdot 0.0041m⁴ \cdot 136.08N*m}

39.9503 = ({121.9}^{2}) \cdot \frac{3000}{2 \cdot 0.0041 \cdot 136.08}

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 Shear Modulus of Elasticity given Strain Energy in Torsion

Shear Modulus of Elasticity given Strain Energy in Torsion Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

G Torsion = ({121.9kN*m}^{2}) \cdot \frac{3000mm}{2 \cdot 0.0041m⁴ \cdot 136.08N*m}

Next Step Convert Units

∴

G Torsion = ({121900N*m}^{2}) \cdot \frac{3m}{2 \cdot 0.0041m⁴ \cdot 136.08J}

Next Step Prepare to Evaluate

∴

G Torsion = (121900^{2}) \cdot \frac{3}{2 \cdot 0.0041 \cdot 136.08}

Next Step Evaluate

∴

G Torsion = 39950343055.0178Pa

Next Step Convert to Output's Unit

∴

G Torsion = 39.9503430550178GPa

LAST Step Rounding Answer

∴

G Torsion = 39.9503GPa

Shear Modulus of Elasticity given Strain Energy in Torsion 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

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

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

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

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 Shear

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

Shear Modulus of Elasticity given Strain Energy in Torsion evaluator uses Modulus of Rigidity = (Torque SOM^2)*Length of Member/(2*Polar Moment of Inertia*Strain Energy) to evaluate the Modulus of Rigidity, The Shear Modulus of Elasticity given Strain Energy in Torsion 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 Torsion using this online evaluator? To use this online evaluator for Shear Modulus of Elasticity given Strain Energy in Torsion, enter Torque SOM (T), Length of Member (L), Polar Moment of Inertia (J) & Strain Energy (U) and hit the calculate button.

FAQs on Shear Modulus of Elasticity given Strain Energy in Torsion

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

The formula of Shear Modulus of Elasticity given Strain Energy in Torsion is expressed as Modulus of Rigidity = (Torque SOM^2)*Length of Member/(2*Polar Moment of Inertia*Strain Energy). Here is an example- 4E-8 = (121900^2)*3/(2*0.0041*136.08).

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

With Torque SOM (T), Length of Member (L), Polar Moment of Inertia (J) & Strain Energy (U) we can find Shear Modulus of Elasticity given Strain Energy in Torsion using the formula - Modulus of Rigidity = (Torque SOM^2)*Length of Member/(2*Polar Moment of Inertia*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=(Shear Force^2)*Length of Member/(2*Area of Cross-Section*Strain Energy)

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

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

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

Shear Modulus of Elasticity given Strain Energy in Torsion 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 Torsion can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Shear Modulus of Elasticity given Strain Energy in Torsion Formula

​GoShear Modulus of Elasticity given Strain Energy in Shear Formula

Shear Modulus of Elasticity given Strain Energy in Torsion Example

Shear Modulus of Elasticity given Strain Energy in Torsion Solution

Shear Modulus of Elasticity given Strain Energy in Torsion 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 Torsion?

FAQs on Shear Modulus of Elasticity given Strain Energy in Torsion

Variable Name

GoShear Modulus of Elasticity given Strain Energy in Shear Formula