EngiRef / Mechanical Engineering Formula

Moment of Inertia (Circle)

Moment of Inertia (Circle): Second moment of area for a circular cross-section. A Statics formula in mechanical engineering. Variables I and d, each with SI…

Statics

Specification

Name
Moment of Inertia (Circle)
Discipline
mechanical
Category
Statics
LaTeX
I = \frac{\pi d^4}{64}
Description
Second moment of area for a circular cross-section
Conditions
About the centroidal axis
Can solve for
I, d
Tags
moment, inertia, circle, section

Variables

Variables for Moment of Inertia (Circle)
SymbolNameUnitSi UnitImperial Unit
IMoment of Inertiam⁴m⁴in⁴
dDiametermmin

Common questions

What is the Moment of Inertia (Circle) formula?
Second moment of area for a circular cross-section. It sits under Statics, Mechanical engineering in the EngiRef reference.
What do the symbols in the Moment of Inertia (Circle) formula mean?
In Moment of Inertia (Circle), I is moment of inertia in m⁴; d is diameter in m.
When does the Moment of Inertia (Circle) formula apply?
Moment of Inertia (Circle) holds under this condition: About the centroidal axis.