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Torque given Strain Energy in Torsion Formula

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

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

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

Torque given Strain Energy in Torsion Example

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Here is how the Torque given Strain Energy in Torsion equation looks like with Values.

Here is how the Torque given Strain Energy in Torsion equation looks like with Units.

Here is how the Torque given Strain Energy in Torsion equation looks like.

121.9757 = \sqrt{2 \cdot 136.08 \cdot 0.0041 \cdot \frac{40}{3000}}

121.9757kN*m = \sqrt{2 \cdot 136.08N*m \cdot 0.0041m⁴ \cdot \frac{40GPa}{3000mm}}

121.9757 = \sqrt{2 \cdot 136.08 \cdot 0.0041 \cdot \frac{40}{3000}}

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Torque given Strain Energy in Torsion Solution

Follow our step by step solution on how to calculate Torque given Strain Energy in Torsion?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T = \sqrt{2 \cdot 136.08N*m \cdot 0.0041m⁴ \cdot \frac{40GPa}{3000mm}}

Next Step Convert Units

∴

T = \sqrt{2 \cdot 136.08J \cdot 0.0041m⁴ \cdot \frac{4E+10Pa}{3m}}

Next Step Prepare to Evaluate

∴

T = \sqrt{2 \cdot 136.08 \cdot 0.0041 \cdot \frac{4E+10}{3}}

Next Step Evaluate

∴

T = 121975.735291901N*m

Next Step Convert to Output's Unit

∴

T = 121.975735291901kN*m

LAST Step Rounding Answer

∴

T = 121.9757kN*m

Torque given Strain Energy in Torsion Formula Elements

Variables

Functions

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

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

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 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 Torque given Strain Energy in Torsion?

Torque given Strain Energy in Torsion evaluator uses Torque SOM = sqrt(2*Strain Energy*Polar Moment of Inertia*Modulus of Rigidity/Length of Member) to evaluate the Torque SOM, The Torque given Strain Energy in Torsion formula is defined as the turning effect of force on the axis of rotation. Also known as the moment of force. Torque SOM is denoted by T symbol.

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

FAQs on Torque given Strain Energy in Torsion

What is the formula to find Torque given Strain Energy in Torsion?

The formula of Torque given Strain Energy in Torsion is expressed as Torque SOM = sqrt(2*Strain Energy*Polar Moment of Inertia*Modulus of Rigidity/Length of Member). Here is an example- 0.121976 = sqrt(2*136.08*0.0041*40000000000/3).

How to calculate Torque given Strain Energy in Torsion?

With Strain Energy (U), Polar Moment of Inertia (J), Modulus of Rigidity (G_Torsion) & Length of Member (L) we can find Torque given Strain Energy in Torsion using the formula - Torque SOM = sqrt(2*Strain Energy*Polar Moment of Inertia*Modulus of Rigidity/Length of Member). This formula also uses Square Root (sqrt) function(s).

Can the Torque given Strain Energy in Torsion be negative?

Yes, the Torque given Strain Energy in Torsion, measured in Torque can be negative.

Which unit is used to measure Torque given Strain Energy in Torsion?

Torque given Strain Energy in Torsion is usually measured using the Kilonewton Meter[kN*m] for Torque. Newton Meter[kN*m], Newton Centimeter[kN*m], Newton Millimeter[kN*m] are the few other units in which Torque given Strain Energy in Torsion can be measured.

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Torque given Strain Energy in Torsion Formula

Torque given Strain Energy in Torsion Example

Torque given Strain Energy in Torsion Solution

Torque given Strain Energy in Torsion Formula Elements

Other formulas in Strain Energy in Structural Members category

How to Evaluate Torque given Strain Energy in Torsion?

FAQs on Torque given Strain Energy in Torsion

Variable Name