19-Video for Iy for a triangle.

Last Updated on September 1, 2026 by Maged kamel

Video for Iy for a triangle.

A video explains how to determine the Moment of inertia in the y-direction for a triangle. The y-axis passes by the left point at a.. Consider the triangle as an assembly of two right-angle triangles combined in cases 1 and 2.

The y-axis passes by the left corner of the triangle, and the inertia is the sum of the inertia at each right angle Cg, plus the sum of multiples of Area by the square of the relative x distance from Cg to the left point. From the value of Iy divided by the area of the triangle, take the square root of the product, and then the value of ky can be found.

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Please watch the video for more details and review the source post for illustration.

Timestamps

  • 0:00- How do we get the value of Iy at the Cg for a triangle?
  • 4:05-Derive an expression for x bar for a triangle.
  • 6:45- The final value of Iy at the Cg for a triangle.
  • 7:25- The final value of the square of the radius of gyration Ky^2 at the Cg for a triangle.

The content of this video can be viewed or downloaded from the following link

The previous video is No. 18 – Video for Ix for a triangle.

The related post is Post 14: The Moment of Inertia Iy for a Triangle.

The next video is for Iy at the CG for a triangle.