EngiRef / Mechanical Engineering Formula

Parallel Axis Theorem

Parallel Axis Theorem: Moment of inertia about parallel axis. A Statics formula in mechanical engineering. Variables I, Ic, A and d, each with SI and imperial…

Statics

Specification

Name
Parallel Axis Theorem
Discipline
mechanical
Category
Statics
LaTeX
I = I_c + Ad^2
Description
Moment of inertia about parallel axis
Can solve for
I, Ic, A, d
Tags
parallel, axis, theorem, inertia, transfer

Variables

Variables for Parallel Axis Theorem
SymbolNameUnitSi UnitImperial Unit
IMoment of Inertiam⁴m⁴in⁴
IcCentroidal Moment of Inertiam⁴m⁴in⁴
AAreain²
dDistance from Centroidmmin

Common questions

What is the Parallel Axis Theorem formula?
Moment of inertia about parallel axis. It sits under Statics, Mechanical engineering in the EngiRef reference.
What do the symbols in the Parallel Axis Theorem formula mean?
In Parallel Axis Theorem, I is moment of inertia in m⁴; Ic is centroidal moment of inertia in m⁴; A is area in m²; d is distance from centroid in m.