Strain Energy given Torsion Moment Value Solution

STEP 0: Pre-Calculation Summary
Formula Used
Strain Energy = (Torsion Load*Length)/(2*Shear Modulus *Polar Moment of Inertia)
U = (T*L)/(2*Gpa *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 in Pa 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*L)/(2*Gpa *J) --> (75000*3.2873)/(2*10.00015 *5.4)
Evaluating ... ...
U = 2282.81298002752
STEP 3: Convert Result to Output's Unit
2282.81298002752 Joule -->2.28281298002752 Kilojoule (Check conversion here)
FINAL ANSWER
2.28281298002752 2.282813 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 given Torsion Moment Value Formula

Strain Energy = (Torsion Load*Length)/(2*Shear Modulus *Polar Moment of Inertia)
U = (T*L)/(2*Gpa *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*Length)/(2*Shear Modulus *Polar Moment of Inertia) to calculate the Strain Energy, The Strain Energy given Torsion Moment Value is Given 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 (Gpa) & 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 -> 0.000227 = (75000*3.2873)/(2*10.00015 *5.4).

FAQ

What is Strain Energy given Torsion Moment Value?
The Strain Energy given Torsion Moment Value is Given 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*L)/(2*Gpa *J) or Strain Energy = (Torsion Load*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 in Pa 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 is Given 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*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 (Gpa) & 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 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 = Shear Stress^(2)*Volume of Shaft/(4*Shear Modulus)
  • Strain Energy = 0.5*Torque*Total Angle of Twist*(180/pi)
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