Moments of Inertia Table
A comprehensive list of formulas for the moments of inertia (second moment of area) and the products of inertia of several common shapes. Reference guide.
A comprehensive list of formulas for the centroids of many common 2D shapes. Reference guide.
Finding the moment of inertia of composite shapes
The given analytical formulas for the calculation of moments of inertia usually cover, just a handful of rather simple cases. The possible shape geometries one may encounter however, are unlimited, but most of the times, these complex areas can be decomposed to more simple subareas. In this article, you'll learn how to calculate the moment of inertia of a composite shape, using the Parallel Axes Theorem.
How to find centroid with examples
How to find the centroid of an area? This article explains the methodology one needs to follow, first using integration formulas. Then, the centroid of composite areas is explored, with decomposition to simpler subareas. Step-by-step procedure is provided. Finally, several detailed examples are presented.
Moment area method for beam deflections
Moment area method is very effective for finding beam deflections. Learn how to use it through detailed examples.
Deflections and slopes of simply supported beam
Learn how to find the deflections of a simply supported beam. Maximum deflections, examples, direct integration method.
Simply supported beam diagrams
Learn how to draw the bending moment and shear force diagrams of a simply supported beam.
Support reactions of simply supported beam
Learn how to find the support reactions of a simply supported beam. Basic theory and examples.