Polar Moment of Inertia when Strain Energy in Torsion is Given Calculator

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✖Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.ⓘ Torque [τ]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [l]			+10% -10%
✖The Strain energy is defined as the energy stored in a body due to deformation. ⓘ Strain Energy [U]			+10% -10%
✖Shear Modulus of Elasticity is one of the measures of mechanical properties of solids. Other elastic moduli are Young's modulus and bulk modulus.ⓘ Shear Modulus of Elasticity [G]			+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 when Strain Energy in Torsion is Given [J]

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Polar Moment of Inertia when Strain Energy in Torsion is Given

Rudrani Tidke

Cummins College of Engineering for Women (CCEW), Pune

Rudrani Tidke has created this Calculator and 100+ more calculators!

Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

Alithea Fernandes has verified this Calculator and 100+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

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Perimeter=2*(Length+sqrt((Diagonal)^2-(Length)^2)) GO

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Magnetic Flux=Magnetic Field*Length*Breadth*cos(θ) GO

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Diagonal=sqrt(((Area)^2/(Length)^2)+(Length)^2) GO

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Area=Length*(sqrt((Diagonal)^2-(Length)^2)) GO

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Diagonal=sqrt(Length^2+Breadth^2) GO

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Strain=Change In Length/Length GO

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Surface Tension=Force/Length GO

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< 7 Other formulas that calculate the same Output

Polar Moment of Inertia when Axial Buckling Load for a Warped Section is Given

Polar moment of Inertia=(Cross sectional area/Axial buckling Load)*(Shear Modulus of Elasticity*Torsion constant+((pi^2)*Young's Modulus*Warping Constant/(Length^2))) GO

Polar Moment of Inertia for Pin Ended Columns

Polar moment of Inertia=Shear Modulus of Elasticity*Torsion constant*Cross sectional area/Torsional buckling load GO

Polar Moment Of Inertia Of Hollow Circular Shaft

Polar moment of Inertia=(pi*(Outer Diameter of Shaft^(4)-Inner Diameter of Shaft^(4)))/32 GO

Moment of Inertia for Hollow Circular Shaft

Polar moment of Inertia=pi*(Outer diameter^(4)-Inner Diameter^(4))/32 GO

Polar Moment of Inertia of a Shaft

Polar moment of Inertia=(2*pi*Thickness of Shaft*Radius of Shaft^3) GO

Polar Moment Of Inertia Of Solid Circular Shaft

Polar moment of Inertia=(pi*(Diameter of shaft)^4)/32 GO

Moment of Inertia about Polar Axis

Polar moment of Inertia=(pi*Shaft Diameter^(4))/32 GO

Polar Moment of Inertia when Strain Energy in Torsion is Given Formula

Polar moment of Inertia=(Torque^2)*Length/(2*Strain Energy*Shear Modulus of Elasticity)
J=(τ^2)*l/(2*U*G)

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Shear Modulus of Elasticity when Strain Energy in Shear is Given GO

Strain Energy in Shear when Shear Deformation is Given GO

Strain Energy in Torsion GO

Torque when Strain Energy in Torsion is Given GO

Length over which Deformation Takes Place when Strain Energy in Torsion is Given GO

Shear Modulus of Elasticity when Strain Energy in Torsion is Given GO

Strain Energy in Torsion when Angle of Twist is Given GO

Strain Energy in Bending GO

Bending Moment when Strain Energy in Bending is Given GO

Length over which Deformation Takes Place when Strain Energy in Bending is Given GO

Modulus of Elasticity when Strain Energy in Bending is Given GO

Moment of Inertia when Strain Energy in Bending is Given GO

Strain Energy in Bending when Angle Through which One Beam Rotates wrt Other End is Given GO

What is meant by polar moment of inertia?

The polar moment of inertia, also known as second polar moment of area, is a quantity used to describe resistance to torsional deformation (deflection), in cylindrical objects (or segments of cylindrical object) with an invariant cross-section and no significant warping or out-of-plane deformation.

How to Calculate Polar Moment of Inertia when Strain Energy in Torsion is Given?

Polar Moment of Inertia when Strain Energy in Torsion is Given calculator uses Polar moment of Inertia=(Torque^2)*Length/(2*Strain Energy*Shear Modulus of Elasticity) to calculate the Polar moment of Inertia, The Polar Moment of Inertia when Strain Energy in Torsion is Given formula is defined as a shaft or beam's resistance to being distorted by torsion, as a function of its shape. Polar moment of Inertia and is denoted by J symbol.

How to calculate Polar Moment of Inertia when Strain Energy in Torsion is Given using this online calculator? To use this online calculator for Polar Moment of Inertia when Strain Energy in Torsion is Given, enter Torque (τ), Length (l), Strain Energy (U) and Shear Modulus of Elasticity (G) and hit the calculate button. Here is how the Polar Moment of Inertia when Strain Energy in Torsion is Given calculation can be explained with given input values -> 0.75 = (50^2)*3/(2*50*100).

FAQ

What is Polar Moment of Inertia when Strain Energy in Torsion is Given?

The Polar Moment of Inertia when Strain Energy in Torsion is Given formula is defined as a shaft or beam's resistance to being distorted by torsion, as a function of its shape and is represented as J=(τ^2)*l/(2*U*G) or Polar moment of Inertia=(Torque^2)*Length/(2*Strain Energy*Shear Modulus of Elasticity). Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ, Length is the measurement or extent of something from end to end, The Strain energy is defined as the energy stored in a body due to deformation. and Shear Modulus of Elasticity is one of the measures of mechanical properties of solids. Other elastic moduli are Young's modulus and bulk modulus.

How to calculate Polar Moment of Inertia when Strain Energy in Torsion is Given?

The Polar Moment of Inertia when Strain Energy in Torsion is Given formula is defined as a shaft or beam's resistance to being distorted by torsion, as a function of its shape is calculated using Polar moment of Inertia=(Torque^2)*Length/(2*Strain Energy*Shear Modulus of Elasticity). To calculate Polar Moment of Inertia when Strain Energy in Torsion is Given, you need Torque (τ), Length (l), Strain Energy (U) and Shear Modulus of Elasticity (G). With our tool, you need to enter the respective value for Torque, Length, Strain Energy and Shear Modulus of Elasticity 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 Polar moment of Inertia?

In this formula, Polar moment of Inertia uses Torque, Length, Strain Energy and Shear Modulus of Elasticity. We can use 7 other way(s) to calculate the same, which is/are as follows -

Polar moment of Inertia=(pi*Shaft Diameter^(4))/32
Polar moment of Inertia=pi*(Outer diameter^(4)-Inner Diameter^(4))/32
Polar moment of Inertia=(pi*(Diameter of shaft)^4)/32
Polar moment of Inertia=(pi*(Outer Diameter of Shaft^(4)-Inner Diameter of Shaft^(4)))/32
Polar moment of Inertia=Shear Modulus of Elasticity*Torsion constant*Cross sectional area/Torsional buckling load
Polar moment of Inertia=(Cross sectional area/Axial buckling Load)*(Shear Modulus of Elasticity*Torsion constant+((pi^2)*Young's Modulus*Warping Constant/(Length^2)))
Polar moment of Inertia=(2*pi*Thickness of Shaft*Radius of Shaft^3)

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