EngiRef / Mechanical Engineering Formula

Moment of Inertia (Rectangle)

Moment of Inertia (Rectangle): Second moment of area for a rectangular cross-section about centroidal axis. A Statics formula in mechanical engineering.

Statics

Specification

Name
Moment of Inertia (Rectangle)
Discipline
mechanical
Category
Statics
LaTeX
I = \frac{bh^3}{12}
Description
Second moment of area for a rectangular cross-section about centroidal axis
Conditions
About the centroidal axis parallel to the base (width b)
Can solve for
I, b, h
Tags
moment, inertia, rectangle, section

Variables

Variables for Moment of Inertia (Rectangle)
SymbolNameUnitSi UnitImperial Unit
IMoment of Inertiam⁴m⁴in⁴
bWidthmmin
hHeightmmin

Common questions

What is the Moment of Inertia (Rectangle) formula?
Second moment of area for a rectangular cross-section about centroidal axis. It sits under Statics, Mechanical engineering in the EngiRef reference.
What do the symbols in the Moment of Inertia (Rectangle) formula mean?
In Moment of Inertia (Rectangle), I is moment of inertia in m⁴; b is width in m; h is height in m.
When does the Moment of Inertia (Rectangle) formula apply?
Moment of Inertia (Rectangle) holds under this condition: About the centroidal axis parallel to the base (width b).