Second moment of area for plain shapes

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

June 14, 2025December 10, 2020 by Maged kamel

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.

June 14, 2025December 5, 2020 by Maged kamel

Brief data for post-12-inertia-product of inertia-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.

June 20, 2025December 1, 2020 by Maged kamel

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. how to find polar moment of inertia Jo?

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

June 15, 2025November 20, 2020 by Maged kamel

Brief data for post-10-inertia-Ix value for right-angle 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 -Case-1.

June 14, 2025November 15, 2020 by Maged kamel

Brief data for post-9-inertia. how to derive Ixy for a right-angle 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. Ixy at the Cg is derived.

8-Moment of inertia-Iy for right-angle triangle-case-1.

September 28, 2025November 1, 2020 by Maged kamel

Brief data for post-8-inertia-Iy for a right-angle case 1.

How to estimate the moment of inertia-Iy for the right-angle triangle -case-1? This is done by using a vertical strip, Iy at Cg is also estimated.

7-Moment of inertia for right-angle-Ix-Case-1.

September 28, 2025October 10, 2020 by Maged kamel

Brief data for post-7-inertia-ix for right-angle case 1.

How to estimate the moment of inertia for right-angle-Ix – case No.1? two methods are used a horizontal strip and a vertical strip.

6-Solved problems for the estimation of Moment of inertia.

June 14, 2025September 30, 2020 by Maged kamel

Two solved problems for practice, the first solved problem is for the inertia of a given rectangular section, it is required to estimate Ix&Iy,kx, and Ky.

5- Easy approach for Product of inertia Ixy for a rectangle.

June 15, 2025September 14, 2020 by Maged kamel

Brief data for post-5-inertia- estimate ixy and Polar moment for a rectangle.

The Product of inertia Ixy for a rectangle Two alternative methods to estimate.The first method is by dividing the rectangle into 4 sections of equal area.

4-Moment of inertia Iy for the rectangular section.

June 15, 2025September 1, 2020 by Maged kamel

How to estimate the Moment of inertia Iy for the rectangular section about axis y? What will be the Iyg value at the Cg?

3- Easy introduction to Ix for the rectangular section.

June 15, 2025August 20, 2020 by Maged kamel

How to estimate the Moment of inertia Ix for the rectangular section using a horizontal strip about axis x? What will be the Ixg value and radii of gyration?

2-Parallel axes theorem for Iy, polar moment of inertia.

July 12, 2025August 10, 2020 by Maged kamel

Introduction to the parallel axes theorem for Iy and polar moment of inertia. and how to get the values of radius of gyrations kx and Ky.

1-Introduction to the moment of inertia.

June 15, 2025July 23, 2019 by Maged kamel

This post includes an introduction to the moment of inertia and what is the difference between the second moment of area and mass moment of inertia?