Strain Energy in Rod when it is Subjected to External Torque Calculator

✖The Torque is a measure of the rotational force applied to an object, influencing its ability to rotate around an axis or pivot point.ⓘ Torque [τ]			+10% -10%
✖The Length of Rod or Shaft is the measurement of the distance from one end of the rod or shaft to the other, crucial for structural analysis.ⓘ Length of Rod or Shaft [L]			+10% -10%
✖The Polar Moment of Inertia is a measure of an object's resistance to torsional deformation, crucial for analyzing the strength and stability of structural components.ⓘ Polar Moment of Inertia [J]			+10% -10%
✖The Modulus of Rigidity is a measure of a material's ability to resist deformation under shear stress, indicating its stiffness and structural integrity in mechanical applications.ⓘ Modulus of Rigidity [G]			+10% -10%

✖The Strain Energy is the energy stored in a material due to deformation, which can be released when the material returns to its original shape.ⓘ Strain Energy in Rod when it is Subjected to External Torque [U]

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Strain Energy in Rod when it is Subjected to External Torque Solution

STEP 0: Pre-Calculation Summary

Formula Used

Strain Energy = Torque^2*Length of Rod or Shaft/(2*Polar Moment of Inertia*Modulus of Rigidity)
U = τ^2*L/(2*J*G)
This formula uses 5 Variables

Variables Used

Strain Energy - (Measured in Joule) - The Strain Energy is the energy stored in a material due to deformation, which can be released when the material returns to its original shape.
Torque - (Measured in Newton Meter) - The Torque is a measure of the rotational force applied to an object, influencing its ability to rotate around an axis or pivot point.
Length of Rod or Shaft - (Measured in Meter) - The Length of Rod or Shaft is the measurement of the distance from one end of the rod or shaft to the other, crucial for structural analysis.
Polar Moment of Inertia - (Measured in Meter⁴) - The Polar Moment of Inertia is a measure of an object's resistance to torsional deformation, crucial for analyzing the strength and stability of structural components.
Modulus of Rigidity - (Measured in Pascal) - The Modulus of Rigidity is a measure of a material's ability to resist deformation under shear stress, indicating its stiffness and structural integrity in mechanical applications.

STEP 1: Convert Input(s) to Base Unit

Torque: 55005 Newton Millimeter --> 55.005 Newton Meter (Check conversion here)
Length of Rod or Shaft: 1432.449 Millimeter --> 1.432449 Meter (Check conversion here)
Polar Moment of Inertia: 553 Millimeter⁴ --> 5.53E-10 Meter⁴ (Check conversion here)
Modulus of Rigidity: 105591 Newton per Square Millimeter --> 105591000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U = τ^2*L/(2*J*G) --> 55.005^2*1.432449/(2*5.53E-10*105591000000)

Evaluating ... ...

U = 37.1108991387478

STEP 3: Convert Result to Output's Unit

37.1108991387478 Joule --> No Conversion Required

FINAL ANSWER

37.1108991387478 ≈ 37.1109 Joule <-- Strain Energy

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< Castigliano's Theorem for Deflection in Complex Structures Calculators

Force Applied on Rod given Strain Energy Stored in Tension Rod

LaTeX Go Axial Force on Beam = sqrt(Strain Energy*2*Cross Sectional Area of Rod*Modulus of Elasticity/Length of Rod or Shaft)

Strain Energy Stored in Tension Rod

LaTeX Go Strain Energy = (Axial Force on Beam^2*Length of Rod or Shaft)/(2*Cross Sectional Area of Rod*Modulus of Elasticity)

Modulus of Elasticity of Rod given Strain Energy Stored

LaTeX Go Modulus of Elasticity = Axial Force on Beam^2*Length of Rod or Shaft/(2*Cross Sectional Area of Rod*Strain Energy)

Length of Rod given Strain Energy Stored

LaTeX Go Length of Rod or Shaft = Strain Energy*2*Cross Sectional Area of Rod*Modulus of Elasticity/Axial Force on Beam^2

Strain Energy in Rod when it is Subjected to External Torque Formula

LaTeX Go

Strain Energy = Torque^2*Length of Rod or Shaft/(2*Polar Moment of Inertia*Modulus of Rigidity)
U = τ^2*L/(2*J*G)

Define Strain Energy?

Strain energy is a type of potential energy that is stored in a structural member as a result of elastic deformation. The external work done on such a member when it is deformed from its unstressed state is transformed into, and considered equal to the strain energy stored in it.

How to Calculate Strain Energy in Rod when it is Subjected to External Torque?

Strain Energy in Rod when it is Subjected to External Torque calculator uses Strain Energy = Torque^2*Length of Rod or Shaft/(2*Polar Moment of Inertia*Modulus of Rigidity) to calculate the Strain Energy, Strain Energy in Rod when it is Subjected to External Torque formula is defined as a measure of the energy stored in a rod due to the application of external torque. This energy is crucial for understanding the material's behavior under torsional loads and ensuring structural integrity. Strain Energy is denoted by U symbol.

How to calculate Strain Energy in Rod when it is Subjected to External Torque using this online calculator? To use this online calculator for Strain Energy in Rod when it is Subjected to External Torque, enter Torque (τ), Length of Rod or Shaft (L), Polar Moment of Inertia (J) & Modulus of Rigidity (G) and hit the calculate button. Here is how the Strain Energy in Rod when it is Subjected to External Torque calculation can be explained with given input values -> 37.31978 = 55.005^2*1.432449/(2*5.53E-10*105591000000).

FAQ

What is Strain Energy in Rod when it is Subjected to External Torque?

Strain Energy in Rod when it is Subjected to External Torque formula is defined as a measure of the energy stored in a rod due to the application of external torque. This energy is crucial for understanding the material's behavior under torsional loads and ensuring structural integrity and is represented as U = τ^2*L/(2*J*G) or Strain Energy = Torque^2*Length of Rod or Shaft/(2*Polar Moment of Inertia*Modulus of Rigidity). The Torque is a measure of the rotational force applied to an object, influencing its ability to rotate around an axis or pivot point, The Length of Rod or Shaft is the measurement of the distance from one end of the rod or shaft to the other, crucial for structural analysis, The Polar Moment of Inertia is a measure of an object's resistance to torsional deformation, crucial for analyzing the strength and stability of structural components & The Modulus of Rigidity is a measure of a material's ability to resist deformation under shear stress, indicating its stiffness and structural integrity in mechanical applications.

How to calculate Strain Energy in Rod when it is Subjected to External Torque?

Strain Energy in Rod when it is Subjected to External Torque formula is defined as a measure of the energy stored in a rod due to the application of external torque. This energy is crucial for understanding the material's behavior under torsional loads and ensuring structural integrity is calculated using Strain Energy = Torque^2*Length of Rod or Shaft/(2*Polar Moment of Inertia*Modulus of Rigidity). To calculate Strain Energy in Rod when it is Subjected to External Torque, you need Torque (τ), Length of Rod or Shaft (L), Polar Moment of Inertia (J) & Modulus of Rigidity (G). With our tool, you need to enter the respective value for Torque, Length of Rod or Shaft, Polar Moment of Inertia & Modulus of Rigidity 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, Length of Rod or Shaft, Polar Moment of Inertia & Modulus of Rigidity. We can use 2 other way(s) to calculate the same, which is/are as follows -

Strain Energy = (Axial Force on Beam^2*Length of Rod or Shaft)/(2*Cross Sectional Area of Rod*Modulus of Elasticity)
Strain Energy = Bending Moment^2*Length of Rod or Shaft/(2*Modulus of Elasticity*Area Moment of Inertia)

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