List of moments of inertia The moment of inertia, denoted by I, measures the extent to which an object resists rotational acceleration about a particular axis; it is the rotational analogue to mass (which …

Jun 23, 2020 · Analytical formulas for the moments of inertia (second moments of area) I x, I y and the products of inertia I xy, for several common shapes are referenced in this page.

Table of Selected Moments of Inertia Note: All formulas shown assume objects of uniform mass density.

Aug 2, 2023 · Several everyday objects, such as rotating disks, cylinders, and spheres, have well-defined moment of inertia formulas. A chart consisting of the different formulas is listed in the table below.

Below is a series of diagrams illustrating how the moment of inertia for the same object can change with the placement of the axis of rotation. This is not an all inclusive list, but it is a "most used" list.

Explore the area moment of inertia (second moment of area) with detailed formulas, calculation tools, and reference tables for common shapes. Essential for structural and mechanical engineering …

Apr 9, 2025 · In this post, we'll show how to calculate the moment of inertias for the strong and weak axis of the most common cross-sections.

Nov 11, 2025 · The moment of inertia for a point particle is characterized by the mass of the particle multiplied by the perpindicular radius to the axis of rotation squared, as shown below:

Table C.2.1. Moments of Inertia of Common Shapes.

Below is the list of moments of inertia for common shapes. You can refer to this table in the future when solving for problems requiring you to find the moment of inertia: