In this article you will learn what Steiner's Theorem is and how to apply it in practice.
Steiner's theorem - definition
| Steiner's theorem makes it possible to calculate the moment of inertia of a plane figure with respect to an axis that is parallel to a given central axis, that is, passing through the figure's center of gravity. |
As shown in the figure above, Parallel axis theorem allows us to calculate the moment of inertia with respect to any parallel axis away from the central axis of our figure. Knowing the value of the moment about the central axis if we add to it the area of the figure "A" multiplied by the distance of the axis to the square.
The moment of deviation according to Steiner's Theorem is calculated by adding the product of the area and the distance of the "a" and "b" axes to the value of the moment of deviation of the figure with respect to the central axes.
Steiner's theorem - an example of application
| More examples of using and calculating moments of inertia with the help of the Steiner’s theorem can be found in my calculator Moment of Inertia. I invite you to use |
As an example of the application of parallel axis theorem, let's analyze the rectangle with sides b1 and h1 shown in the figure below. You can find the formulas for moments of order of simple figures such as a rectangle in this entry.
