Strain Energy due to Torsion in Hollow 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%
✖Outer Diameter of Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft.ⓘ Outer Diameter of Shaft [d_outer]			+10% -10%
✖The Inner Diameter of Shaft is defined as the length of the longest chord inside the hollow shaft.ⓘ Inner Diameter of Shaft [d_inner]			+10% -10%
✖The Volume of Shaft is the volume of cylindical component under torsion.ⓘ Volume of Shaft [V]			+10% -10%
✖Shear Modulus 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 due to Torsion in Hollow Shaft [U]

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Strain Energy due to Torsion in Hollow Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
U = 𝜏^(2)*(d_outer^(2)+d_inner^(2))*V/(4*G_pa*d_outer^(2))
This formula uses 6 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.
Outer Diameter of Shaft - (Measured in Meter) - Outer Diameter of Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft.
Inner Diameter of Shaft - (Measured in Meter) - The Inner Diameter of Shaft is defined as the length of the longest chord inside the hollow shaft.
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 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
Outer Diameter of Shaft: 2004 Millimeter --> 2.004 Meter (Check conversion here)
Inner Diameter of Shaft: 1000 Millimeter --> 1 Meter (Check conversion here)
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)*(d_outer^(2)+d_inner^(2))*V/(4*G_pa*d_outer^(2)) --> 100^(2)*(2.004^(2)+1^(2))*12.5/(4*10.00015*2.004^(2))

Evaluating ... ...

U = 3903.07580392529

STEP 3: Convert Result to Output's Unit

3903.07580392529 Joule -->3.90307580392529 Kilojoule (Check conversion here)

FINAL ANSWER

3.90307580392529 ≈ 3.903076 Kilojoule <-- Strain Energy

(Calculation completed in 00.035 seconds)

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College Of Engineering (COEP), Pune

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< Strain Energy Calculators

Strain Energy due to Torsion in Hollow Shaft

LaTeX 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

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

Strain Energy due to Pure Shear

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

Strain Energy given Applied Tension Load

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

Strain Energy due to Torsion in Hollow Shaft Formula

LaTeX Go

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 due to Torsion in Hollow Shaft?

Strain Energy due to Torsion in Hollow Shaft calculator uses 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)) to calculate the Strain Energy, The Strain Energy due to Torsion in Hollow Shaft formula is defined as the energy stored in the hollow shaft when subjected to torsion. Strain Energy is denoted by U symbol.

How to calculate Strain Energy due to Torsion in Hollow Shaft using this online calculator? To use this online calculator for Strain Energy due to Torsion in Hollow Shaft, enter Shear Stress (𝜏), Outer Diameter of Shaft (d_outer), Inner Diameter of Shaft (d_inner), Volume of Shaft (V) & Shear Modulus (G_pa) and hit the calculate button. Here is how the Strain Energy due to Torsion in Hollow Shaft calculation can be explained with given input values -> 0.00332 = 100^(2)*(2.004^(2)+1^(2))*12.5/(4*10.00015*2.004^(2)).

FAQ

What is Strain Energy due to Torsion in Hollow Shaft?

The Strain Energy due to Torsion in Hollow Shaft formula is defined as the energy stored in the hollow shaft when subjected to torsion and is represented as U = 𝜏^(2)*(d_outer^(2)+d_inner^(2))*V/(4*G_pa*d_outer^(2)) or 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)). Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, Outer Diameter of Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft, The Inner Diameter of Shaft is defined as the length of the longest chord inside the hollow shaft, The Volume of Shaft is the volume of cylindical component under torsion & Shear Modulus is the slope of the linear elastic region of the shear stress-strain curve.

How to calculate Strain Energy due to Torsion in Hollow Shaft?

The Strain Energy due to Torsion in Hollow Shaft formula is defined as the energy stored in the hollow shaft when subjected to torsion is calculated using 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)). To calculate Strain Energy due to Torsion in Hollow Shaft, you need Shear Stress (𝜏), Outer Diameter of Shaft (d_outer), Inner Diameter of Shaft (d_inner), Volume of Shaft (V) & Shear Modulus (G_pa). With our tool, you need to enter the respective value for Shear Stress, Outer Diameter of Shaft, Inner Diameter of Shaft, 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, Outer Diameter of Shaft, Inner Diameter of Shaft, Volume of Shaft & Shear Modulus. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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