Inertia for plain shapes

The inertia for the different plain shape-rectangles-isosceles, Triangles, parallelograms, and trapezium.

17-Moment of inertia for an isosceles triangle-Ix,Iy.

A guide to estimating the moment of inertia for an isosceles triangle-Ix, Iy. An isosceles triangle is a special case of a triangle.

16-Polar Moment of inertia j- for the triangle.

How to estimate the polar moment of inertia j for a triangle? two methods are used to get the polar moment of inertia for a triangle and the polar moment of inertia at the CG.

15-Product of inertia Ixy-for the triangle.

How to estimate the product of inertia Ixy for a triangle? the procedure considered the triangle as composed of two right-angle triangles, the complete steps are shown.

14a-How to get of Moment of inertia Iy-at Cg for a triangle?

How to estimate the moment of inertia Iy-at Cg for a triangle? using the value of Iy of a triangle we can get the inertia Iy-at Cg.

14-The Moment of inertia Iy for a triangle.

A full estimate of the moment of inertia Iy for any given triangle? the procedure considered the triangle as composed of two right-angle triangles.

13- Easy approach to Moment of inertia Ix-for a triangle.

The post includes the procedure to estimate the moment of inertia Ix -for a triangle and the radius of gyration about x, and then estimate the value Ix at center of gravity cg .

12-Product of inertia Ixy for the right angle-case-2.

The post includes the product of inertia Ixy for the triangular section case -2. Two alternative methods were used. A full description is introduced.

11-Moment of inertia Iy-Case-2 for a right-angle triangle.

How to get the moment of inertia for a right-angle triangle -Iy-case-2?The procedure is done by using a vertical strip for integration.

10-Ix-the moment of inertia for right-angle-Ix-Case-2.

How to get Ix-the moment of inertia for the right-angle triangle-Case-2? by using a horizontal strip, and the other method is to use a vertical strip.

9- Easy approach to Ixy-for-right-angle triangle-Case-1.

How to estimate the product of inertia Ixy for a right-angle triangle case No.1 at the external axis? step by step illustration by using integration.

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