Strain Energy in Torsion using Total Angle of Twist Calculator

✖Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.ⓘ Torque [τ]			+10% -10%
✖The Total Angle of Twist is the angle through which a radial section of a body (as a wire or a shaft) deflects from its normal position when the body is subjected to torque.ⓘ Total Angle of Twist [𝜽]			+10% -10%

✖The Strain Energy is defined as the energy stored in a body due to deformation.ⓘ Strain Energy in Torsion using Total Angle of Twist [U]

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Formula

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Strain Energy in Torsion using Total Angle of Twist

Formula

`"U" = 0.5*"τ"*"𝜽"*(180/pi)`

Example

`"1.032KJ"=0.5*"34.4N*m"*"60°"*(180/pi)`

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Strain Energy in Torsion using Total Angle of Twist Solution

STEP 0: Pre-Calculation Summary

Formula Used

Strain Energy = 0.5*Torque*Total Angle of Twist*(180/pi)
U = 0.5*τ*𝜽*(180/pi)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Strain Energy - (Measured in Joule) - The Strain Energy is defined as the energy stored in a body due to deformation.
Torque - (Measured in Newton Meter) - Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.
Total Angle of Twist - (Measured in Radian) - The Total Angle of Twist is the angle through which a radial section of a body (as a wire or a shaft) deflects from its normal position when the body is subjected to torque.

STEP 1: Convert Input(s) to Base Unit

Torque: 34.4 Newton Meter --> 34.4 Newton Meter No Conversion Required
Total Angle of Twist: 60 Degree --> 1.0471975511964 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U = 0.5*τ*𝜽*(180/pi) --> 0.5*34.4*1.0471975511964*(180/pi)

Evaluating ... ...

U = 1031.99999999981

STEP 3: Convert Result to Output's Unit

1031.99999999981 Joule -->1.03199999999981 Kilojoule (Check conversion here)

FINAL ANSWER

1.03199999999981 ≈ 1.032 Kilojoule <-- Strain Energy

(Calculation completed in 00.004 seconds)

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Created by Pragati Jaju

College Of Engineering (COEP), Pune

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< 8 Strain Energy Calculators

Strain Energy due to Torsion in Hollow Shaft

Go Strain Energy = Shear Stress^(2)*(Outer Diameter of Shaft^(2)+Inner Diameter of Shaft^(2))*Volume of Shaft/(4*Shear Modulus*Outer Diameter of Shaft^(2))

Strain Energy given Moment Value

Go Strain Energy = (Bending Moment*Bending Moment*Length)/(2*Elastic Modulus*Moment of Inertia)

Strain Energy given Torsion Moment Value

Go Strain Energy = (Torsion Load*Length)/(2*Shear Modulus *Polar Moment of Inertia)

Strain Energy due to Pure Shear

Go Strain Energy = Shear Stress*Shear Stress*Volume/(2*Shear Modulus)

Strain Energy given Applied Tension Load

Go Strain Energy = Load^2*Length/(2*Area of Base*Young's Modulus)

Strain Energy in Torsion for Solid Shaft

Go Strain Energy = Shear Stress^(2)*Volume of Shaft/(4*Shear Modulus)

Strain Energy in Torsion using Total Angle of Twist

Go Strain Energy = 0.5*Torque*Total Angle of Twist*(180/pi)

Strain Energy Density

Go Strain Energy Density = 0.5*Principle Stress*Principle Strain

Strain Energy in Torsion using Total Angle of Twist Formula

Strain Energy = 0.5*Torque*Total Angle of Twist*(180/pi)
U = 0.5*τ*𝜽*(180/pi)

What is Strain Energy?

The work done in straining the shaft with in the elastic limit is called strain energy. consider a shaft of diameter D, and Length L, subjected to a gradually applied torque T. Let θ be the angle of twist. Energy is stored in the shaft due to this angular distortion. This is called torsional energy or the Torsional resilience.

How to Calculate Strain Energy in Torsion using Total Angle of Twist?

Strain Energy in Torsion using Total Angle of Twist calculator uses Strain Energy = 0.5*Torque*Total Angle of Twist*(180/pi) to calculate the Strain Energy, Strain Energy in Torsion using Total Angle of Twist is defined as the energy stored in the shaft subjected to torsion within the elastic limit. Energy is stored in the shaft due to this angular distortion. Strain Energy is denoted by U symbol.

How to calculate Strain Energy in Torsion using Total Angle of Twist using this online calculator? To use this online calculator for Strain Energy in Torsion using Total Angle of Twist, enter Torque (τ) & Total Angle of Twist (𝜽) and hit the calculate button. Here is how the Strain Energy in Torsion using Total Angle of Twist calculation can be explained with given input values -> 0.001032 = 0.5*34.4*1.0471975511964*(180/pi).

FAQ

What is Strain Energy in Torsion using Total Angle of Twist?

Strain Energy in Torsion using Total Angle of Twist is defined as the energy stored in the shaft subjected to torsion within the elastic limit. Energy is stored in the shaft due to this angular distortion and is represented as U = 0.5*τ*𝜽*(180/pi) or Strain Energy = 0.5*Torque*Total Angle of Twist*(180/pi). Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ & The Total Angle of Twist is the angle through which a radial section of a body (as a wire or a shaft) deflects from its normal position when the body is subjected to torque.

How to calculate Strain Energy in Torsion using Total Angle of Twist?

Strain Energy in Torsion using Total Angle of Twist is defined as the energy stored in the shaft subjected to torsion within the elastic limit. Energy is stored in the shaft due to this angular distortion is calculated using Strain Energy = 0.5*Torque*Total Angle of Twist*(180/pi). To calculate Strain Energy in Torsion using Total Angle of Twist, you need Torque (τ) & Total Angle of Twist (𝜽). With our tool, you need to enter the respective value for Torque & Total Angle of Twist and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Strain Energy?

In this formula, Strain Energy uses Torque & Total Angle of Twist. We can use 6 other way(s) to calculate the same, which is/are as follows -

Strain Energy = Shear Stress*Shear Stress*Volume/(2*Shear Modulus)
Strain Energy = Shear Stress^(2)*(Outer Diameter of Shaft^(2)+Inner Diameter of Shaft^(2))*Volume of Shaft/(4*Shear Modulus*Outer Diameter of Shaft^(2))
Strain Energy = Load^2*Length/(2*Area of Base*Young's Modulus)
Strain Energy = (Bending Moment*Bending Moment*Length)/(2*Elastic Modulus*Moment of Inertia)
Strain Energy = (Torsion Load*Length)/(2*Shear Modulus *Polar Moment of Inertia)
Strain Energy = Shear Stress^(2)*Volume of Shaft/(4*Shear Modulus)

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