Strain Energy in Torsion for Solid Shaft Calculator

✖Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress [𝜏]			+10% -10%
✖The Volume of Shaft is the volume of cylindical component under torsion.ⓘ Volume of Shaft [V]			+10% -10%
✖Shear Modulus in Pa is the slope of the linear elastic region of the shear stress-strain curve.ⓘ Shear Modulus [G_pa]			+10% -10%

✖The Strain Energy is defined as the energy stored in a body due to deformation.ⓘ Strain Energy in Torsion for Solid Shaft [U]

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Formula

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Strain Energy in Torsion for Solid Shaft

Formula

`"U" = "𝜏"^(2)*"V"/(4*"G"_{"pa"})`

Example

`"3.124953KJ"=("100Pa")^(2)*"12.5m³"/(4*"10.00015Pa")`

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Strain Energy in Torsion for Solid Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Strain Energy = Shear Stress^(2)*Volume of Shaft/(4*Shear Modulus)
U = 𝜏^(2)*V/(4*G_pa)
This formula uses 4 Variables

Variables Used

Strain Energy - (Measured in Joule) - The Strain Energy is defined as the energy stored in a body due to deformation.
Shear Stress - (Measured in Pascal) - Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Volume of Shaft - (Measured in Cubic Meter) - The Volume of Shaft is the volume of cylindical component under torsion.
Shear Modulus - (Measured in Pascal) - Shear Modulus in Pa is the slope of the linear elastic region of the shear stress-strain curve.

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 100 Pascal --> 100 Pascal No Conversion Required
Volume of Shaft: 12.5 Cubic Meter --> 12.5 Cubic Meter No Conversion Required
Shear Modulus: 10.00015 Pascal --> 10.00015 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U = 𝜏^(2)*V/(4*G_pa) --> 100^(2)*12.5/(4*10.00015)

Evaluating ... ...

U = 3124.95312570311

STEP 3: Convert Result to Output's Unit

3124.95312570311 Joule -->3.12495312570311 Kilojoule (Check conversion here)

FINAL ANSWER

3.12495312570311 ≈ 3.124953 Kilojoule <-- Strain Energy

(Calculation completed in 00.021 seconds)

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Created by Pragati Jaju

College Of Engineering (COEP), Pune

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Osmania University (OU), Hyderabad

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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 for Solid Shaft Formula

Strain Energy = Shear Stress^(2)*Volume of Shaft/(4*Shear Modulus)
U = 𝜏^(2)*V/(4*G_pa)

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 for Solid Shaft?

Strain Energy in Torsion for Solid Shaft calculator uses Strain Energy = Shear Stress^(2)*Volume of Shaft/(4*Shear Modulus) to calculate the Strain Energy, The Strain Energy in Torsion for Solid Shaft is defined as the energy stored in solid shaft when it is subjected to torsion with in elastic limits. Strain Energy is denoted by U symbol.

How to calculate Strain Energy in Torsion for Solid Shaft using this online calculator? To use this online calculator for Strain Energy in Torsion for Solid Shaft, enter Shear Stress (𝜏), Volume of Shaft (V) & Shear Modulus (G_pa) and hit the calculate button. Here is how the Strain Energy in Torsion for Solid Shaft calculation can be explained with given input values -> 0.0314 = 100^(2)*12.5/(4*10.00015).

FAQ

What is Strain Energy in Torsion for Solid Shaft?

The Strain Energy in Torsion for Solid Shaft is defined as the energy stored in solid shaft when it is subjected to torsion with in elastic limits and is represented as U = 𝜏^(2)*V/(4*G_pa) or Strain Energy = Shear Stress^(2)*Volume of Shaft/(4*Shear Modulus). Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, The Volume of Shaft is the volume of cylindical component under torsion & Shear Modulus in Pa is the slope of the linear elastic region of the shear stress-strain curve.

How to calculate Strain Energy in Torsion for Solid Shaft?

The Strain Energy in Torsion for Solid Shaft is defined as the energy stored in solid shaft when it is subjected to torsion with in elastic limits is calculated using Strain Energy = Shear Stress^(2)*Volume of Shaft/(4*Shear Modulus). To calculate Strain Energy in Torsion for Solid Shaft, you need Shear Stress (𝜏), Volume of Shaft (V) & Shear Modulus (G_pa). With our tool, you need to enter the respective value for Shear Stress, Volume of Shaft & Shear Modulus 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 Shear Stress, Volume of Shaft & Shear Modulus. 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 = 0.5*Torque*Total Angle of Twist*(180/pi)

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