Last Updated on December 7, 2025 by Maged kamel
Video-Use a vl strip to get Iy for right-angle case-2.
What is the value of Iy for a right-angle triangle case 2 using a vertical strip? A step-by-step guide to find the value of the moment of inertia about the y-axis, which passes through the left corner.
There are two conditions for the y-axis: the first is when the y-axis passes by the intersection point between the base and the hypotenuse, or the left corner.
1-For Iy estimation, for case -2, a vertical strip will be used, the strip width is dx, and its height is y.
2- Since the strip height starts from the base and intersects with line AC, the y value is the same as the line AC equation, that is, y=h*x/b, for the x value it will be=b*y/h.
3- The moment of Inertia due to that strip about the Y-axis is equal to A*(x^2).
4- Integrate from x=0 to x=b. Iy=(h*b^3)/4 is the final solution. This is a right-angle triangle’s Inertia Iy-case-2.
The related post is Post 11-Moment of inertia Iy-Case-2 for a right-angle triangle.
The next video is Video-Iy and polar moment of inertia-right angle-case 2.