Torque given Strain Energy in Torsion Calculator

✖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.ⓘ Strain Energy [U]			+10% -10%
✖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.ⓘ Polar Moment of Inertia [J]			+10% -10%
✖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.ⓘ Modulus of Rigidity [G_Torsion]			+10% -10%
✖Length of Member is the measurement or extent of member (beam or column) from end to end.ⓘ Length of Member [L]			+10% -10%

✖Torque SOM is a measure of the force that can cause an object to rotate about an axis.ⓘ Torque given Strain Energy in Torsion [T]

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Torque given Strain Energy in Torsion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torque SOM = sqrt(2*Strain Energy*Polar Moment of Inertia*Modulus of Rigidity/Length of Member)
T = sqrt(2*U*J*G_Torsion/L)
This formula uses 1 Functions, 5 Variables

Functions Used

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., sqrt(Number)

Variables Used

Torque SOM - (Measured in Newton Meter) - Torque SOM is a measure of the force that can cause an object to rotate about an axis.
Strain Energy - (Measured in Joule) - 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.
Polar Moment of Inertia - (Measured in Meter⁴) - 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.
Modulus of Rigidity - (Measured in Pascal) - 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.
Length of Member - (Measured in Meter) - Length of Member is the measurement or extent of member (beam or column) from end to end.

STEP 1: Convert Input(s) to Base Unit

Strain Energy: 136.08 Newton Meter --> 136.08 Joule (Check conversion here)
Polar Moment of Inertia: 0.0041 Meter⁴ --> 0.0041 Meter⁴ No Conversion Required
Modulus of Rigidity: 40 Gigapascal --> 40000000000 Pascal (Check conversion here)
Length of Member: 3000 Millimeter --> 3 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = sqrt(2*U*J*G_Torsion/L) --> sqrt(2*136.08*0.0041*40000000000/3)

Evaluating ... ...

T = 121975.735291901

STEP 3: Convert Result to Output's Unit

121975.735291901 Newton Meter -->121.975735291901 Kilonewton Meter (Check conversion here)

FINAL ANSWER

121.975735291901 ≈ 121.9757 Kilonewton Meter <-- Torque SOM

(Calculation completed in 00.004 seconds)

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Created by Rudrani Tidke

Cummins College of Engineering for Women (CCEW), Pune

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< Strain Energy in Structural Members Calculators

Shear Force using Strain Energy

LaTeX Go Shear Force = sqrt(2*Strain Energy*Area of Cross-Section*Modulus of Rigidity/Length of Member)

Strain Energy in Shear

LaTeX Go Strain Energy = (Shear Force^2)*Length of Member/(2*Area of Cross-Section*Modulus of Rigidity)

Length over which Deformation takes place given Strain Energy in Shear

LaTeX Go Length of Member = 2*Strain Energy*Area of Cross-Section*Modulus of Rigidity/(Shear Force^2)

Stress using Hook's Law

LaTeX Go Direct Stress = Young's Modulus*Lateral Strain

Torque given Strain Energy in Torsion Formula

LaTeX Go

Torque SOM = sqrt(2*Strain Energy*Polar Moment of Inertia*Modulus of Rigidity/Length of Member)
T = sqrt(2*U*J*G_Torsion/L)

What is Torque?

Torque is the measure of the force that can cause an object to rotate about an axis. Force is what causes an object to accelerate in linear kinematics. Similarly, torque is what causes an angular acceleration. Hence, torque can be defined as the rotational equivalent of linear force.

What is the Strain Energy in Torsion?

The energy stores in the shaft are equal to work done in twisting i.e., Strain energy stored in a body due to torsion. For example, a solid circular shaft.

How to Calculate Torque given Strain Energy in Torsion?

Torque given Strain Energy in Torsion calculator uses Torque SOM = sqrt(2*Strain Energy*Polar Moment of Inertia*Modulus of Rigidity/Length of Member) to calculate 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 calculate Torque given Strain Energy in Torsion using this online calculator? To use this online calculator 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. Here is how the Torque given Strain Energy in Torsion calculation can be explained with given input values -> 0.121976 = sqrt(2*136.08*0.0041*40000000000/3).

FAQ

What is Torque given Strain Energy in Torsion?

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 and is represented as T = sqrt(2*U*J*G_Torsion/L) or Torque SOM = sqrt(2*Strain Energy*Polar Moment of Inertia*Modulus of Rigidity/Length of Member). 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, 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, 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 & Length of Member is the measurement or extent of member (beam or column) from end to end.

How to calculate Torque given Strain Energy in Torsion?

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 is calculated using Torque SOM = sqrt(2*Strain Energy*Polar Moment of Inertia*Modulus of Rigidity/Length of Member). To calculate Torque given Strain Energy in Torsion, you need Strain Energy (U), Polar Moment of Inertia (J), Modulus of Rigidity (G_Torsion) & Length of Member (L). With our tool, you need to enter the respective value for Strain Energy, Polar Moment of Inertia, Modulus of Rigidity & Length of Member and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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