A Area Moment of Inertia
A.1 Introduction
The area moment of inertia (second moment of inertia) quantifies the resistance of a shape against bending and deflection. It is not to be confused with the moment of inertia, which quantifies the rotational inertia of a rigid body.
Closed‐form expressions for the area moment of inertia exist for simple geometries only. In many instances, we have to rely on numerical methods to calculate the area moment of inertia. In this appendix, we review the principal equations that define the area moment of inertia.
A.2 Terminology
We define the moment of inertia 
of a solid body with volume 
and mass 
that rotates about an axis 
as
where 
is the orthogonal distance between the center of gravity of the solid body and the rotation axis 
. The moment ...
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