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 .
Second moment of area for plain shapes
The inertia for the different plain shape-rectangles-isosceles, Triangles, parallelograms, and trapezium.
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. how to find polar moment of inertia Jo?
10-Ix-the moment of inertia 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.
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.
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.
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.
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.
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.
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.
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.
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.
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?