EngiRef / Mechanical Engineering Formula

Polar Moment of Inertia (Hollow Circle)

Polar Moment of Inertia (Hollow Circle): Polar moment of inertia for hollow circular shaft. A Statics formula in mechanical engineering. Variables J, dₒ and…

Statics

Specification

Name
Polar Moment of Inertia (Hollow Circle)
Discipline
mechanical
Category
Statics
LaTeX
J = \frac{\pi (d_o^4 - d_i^4)}{32}
Description
Polar moment of inertia for hollow circular shaft
Can solve for
J
Tags
polar, inertia, hollow, tube

Variables

Variables for Polar Moment of Inertia (Hollow Circle)
SymbolNameUnitSi UnitImperial Unit
JPolar Moment of Inertiam⁴m⁴in⁴
dₒOuter Diametermmin
dᵢInner Diametermmin

Common questions

What is the Polar Moment of Inertia (Hollow Circle) formula?
Polar moment of inertia for hollow circular shaft. It sits under Statics, Mechanical engineering in the EngiRef reference.
What do the symbols in the Polar Moment of Inertia (Hollow Circle) formula mean?
In Polar Moment of Inertia (Hollow Circle), J is polar moment of inertia in m⁴; dₒ is outer diameter in m; dᵢ is inner diameter in m.