Strain Energy given Torsion Moment Value Calculator

✖The Torsion Load is the load that imparts the turning moment or the torque.ⓘ Torsion Load [T]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+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 Polar moment of Inertia is a shaft or beam's resistance to being distorted by torsion, as a function of its shape.ⓘ Polar Moment of Inertia [J]			+10% -10%

✖The Strain Energy is defined as the energy stored in a body due to deformation.ⓘ Strain Energy given Torsion Moment Value [U]

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Strain Energy given Torsion Moment Value Solution

STEP 0: Pre-Calculation Summary

Formula Used

Strain Energy = (Torsion Load^2*Length)/(2*Shear Modulus*Polar Moment of Inertia)
U = (T^2*L)/(2*G_pa*J)
This formula uses 5 Variables

Variables Used

Strain Energy - (Measured in Joule) - The Strain Energy is defined as the energy stored in a body due to deformation.
Torsion Load - (Measured in Newton) - The Torsion Load is the load that imparts the turning moment or the torque.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Shear Modulus - (Measured in Pascal) - Shear Modulus is the slope of the linear elastic region of the shear stress-strain curve.
Polar Moment of Inertia - (Measured in Meter⁴) - The Polar moment of Inertia is a shaft or beam's resistance to being distorted by torsion, as a function of its shape.

STEP 1: Convert Input(s) to Base Unit

Torsion Load: 75000 Newton --> 75000 Newton No Conversion Required
Length: 3287.3 Millimeter --> 3.2873 Meter (Check conversion here)
Shear Modulus: 10.00015 Pascal --> 10.00015 Pascal No Conversion Required
Polar Moment of Inertia: 5.4 Meter⁴ --> 5.4 Meter⁴ No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U = (T^2*L)/(2*G_pa*J) --> (75000^2*3.2873)/(2*10.00015*5.4)

Evaluating ... ...

U = 171210973.502064

STEP 3: Convert Result to Output's Unit

171210973.502064 Joule -->171210.973502064 Kilojoule (Check conversion here)

FINAL ANSWER

171210.973502064 ≈ 171211 Kilojoule <-- Strain Energy

(Calculation completed in 00.004 seconds)

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College Of Engineering (COEP), Pune

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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 given Torsion Moment Value Formula

LaTeX Go

Strain Energy = (Torsion Load^2*Length)/(2*Shear Modulus*Polar Moment of Inertia)
U = (T^2*L)/(2*G_pa*J)

What is Strain Energy?

Strain energy is defined as the energy stored in a body due to deformation. The strain energy per unit volume is known as strain energy density and the area under the stress-strain curve towards the point of deformation. When the applied force is released, the whole system returns to its original shape.

How to Calculate Strain Energy given Torsion Moment Value?

Strain Energy given Torsion Moment Value calculator uses Strain Energy = (Torsion Load^2*Length)/(2*Shear Modulus*Polar Moment of Inertia) to calculate the Strain Energy, The Strain Energy given Torsion Moment Value formula is defined as the measure of the value that is 0.5 times the ratio of the product of torsion load and length to the product of shear modulus and polar moment of inertia. Strain Energy is denoted by U symbol.

How to calculate Strain Energy given Torsion Moment Value using this online calculator? To use this online calculator for Strain Energy given Torsion Moment Value, enter Torsion Load (T), Length (L), Shear Modulus (G_pa) & Polar Moment of Inertia (J) and hit the calculate button. Here is how the Strain Energy given Torsion Moment Value calculation can be explained with given input values -> 171.211 = (75000^2*3.2873)/(2*10.00015*5.4).

FAQ

What is Strain Energy given Torsion Moment Value?

The Strain Energy given Torsion Moment Value formula is defined as the measure of the value that is 0.5 times the ratio of the product of torsion load and length to the product of shear modulus and polar moment of inertia and is represented as U = (T^2*L)/(2*G_pa*J) or Strain Energy = (Torsion Load^2*Length)/(2*Shear Modulus*Polar Moment of Inertia). The Torsion Load is the load that imparts the turning moment or the torque, Length is the measurement or extent of something from end to end, Shear Modulus is the slope of the linear elastic region of the shear stress-strain curve & The Polar moment of Inertia is a shaft or beam's resistance to being distorted by torsion, as a function of its shape.

How to calculate Strain Energy given Torsion Moment Value?

The Strain Energy given Torsion Moment Value formula is defined as the measure of the value that is 0.5 times the ratio of the product of torsion load and length to the product of shear modulus and polar moment of inertia is calculated using Strain Energy = (Torsion Load^2*Length)/(2*Shear Modulus*Polar Moment of Inertia). To calculate Strain Energy given Torsion Moment Value, you need Torsion Load (T), Length (L), Shear Modulus (G_pa) & Polar Moment of Inertia (J). With our tool, you need to enter the respective value for Torsion Load, Length, Shear Modulus & Polar Moment of Inertia 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 Torsion Load, Length, Shear Modulus & Polar Moment of Inertia. 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 = 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)

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