Polar Moment of Inertia in Machine Design Formulas

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. And is denoted by J. Polar Moment of Inertia is usually measured using the Millimeter⁴ for Second Moment of Area. Note that the value of Polar Moment of Inertia is always positive.

Formulas to find Polar Moment of Inertia in Machine Design

fxPolar Moment of Inertia of Rod given Strain Energy in RodGo

Machine Design formulas that make use of Polar Moment of Inertia

fxStrain Energy in Rod when it is Subjected to External TorqueGo

fxTorque given Strain Energy in Rod Subjected to External TorqueGo

fxLength of Shaft when Strain Energy in Shaft Subjected to External TorqueGo

fxModulus of Rigidity of Rod given Strain Energy in RodGo

List of variables in Machine Design formulas

fx Torque Go

fx Length of Rod or Shaft Go

fx Strain Energy Go

fx Modulus of Rigidity Go

FAQ

What is the Polar Moment of Inertia?

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 is usually measured using the Millimeter⁴ for Second Moment of Area. Note that the value of Polar Moment of Inertia is always positive.

Can the Polar Moment of Inertia be negative?

No, the Polar Moment of Inertia, measured in Second Moment of Area cannot be negative.

What unit is used to measure Polar Moment of Inertia?

Polar Moment of Inertia is usually measured using the Millimeter⁴[mm⁴] for Second Moment of Area. Meter⁴[mm⁴], Centimeter⁴[mm⁴] are the few other units in which Polar Moment of Inertia can be measured.

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