Blog posts

3-Part 1 of Practice problem-7-32 Discontinuity Functions

June 22, 2025May 27, 2024 by Maged kamel

Practice problem p7-32-use discontinuity function.

part 1 of Practice problem-7-32-Discontinuity Functions. How to get the expressions for W(x),V(x) and M(x) for a beam?

2-Discontinuity Functions Table.

June 22, 2025May 26, 2024 by Maged kamel

Discontinuity Functions table, how to use these tables to derive an expression for load, shear and moment functions?

Video for practice problem P7-38-Use discontinuity Function.

June 6, 2025April 1, 2024 by Maged kamel

A Video for practice problem P7-38-Use discontinuity Function.to develop expressions for load ,shear and moment functions and draw shear and moment diagrams.

9- Crout’s LU decomposition for a 3×3 matrix-Option 1

September 18, 2025April 1, 2024 by Maged kamel

Crout's LU decomposition for a 3x3 matrix-Option 1

How to drive Crout’s LU decomposition for a 3×3 matrix-option-1? Step-by-step introduction to Crout’s LU decomposition for a 3×3 matrix.

Video for practice problem P7-35-Use discontinuity Function

June 6, 2025March 28, 2024 by Maged kamel

A Video for practice problem P7-35-Use discontinuity Function.to develop expressions for load ,shear and moment functions and draw shear and moment diagrams.

Video for practice problem P7-32-Use discontinuity Function

June 14, 2025March 27, 2024 by Maged kamel

A Video for practice problem P7-32-Use discontinuity Function.to develop expressions for load ,shear and moment functions and draw shear and moment diagrams.

Video for Discontinuity Functions Table for loads, shear.

July 9, 2025March 24, 2024 by Maged kamel

A Video for Discontinuity functions table for loads, shear and moment expressions. How to derive the Discontinuity functions table?.

23-Video for Ixy for an isosceles triangle.

March 25, 2025March 13, 2024 by Maged kamel

Video for Ixy for an isosceles triangle. how to find Ixy value at the left corner and at the CG?

22-Video for Ix and Iy for an isosceles triangle.

August 13, 2025March 13, 2024 by Maged kamel

Video for Ix and Iy for an isosceles triangle at the left corner. What are the values of Ix and Iy at the Cg?

21-Video for Ixy for a triangle.

March 29, 2025March 13, 2024 by Maged kamel

Video for Ixy for a triangle. How to determine the Ixy for a triangle on the left corner and discover the Ixy value at the CG?

20-Video for Iy at the Cg for a triangle.

June 4, 2025March 12, 2024 by Maged kamel

Video for Iy at the Cg for a Triangle. Determine the Iy at the Cg for a triangle by deducting the product of the Area by the x bar^2 from Iy value.

19-Video for Iy for a triangle.

October 8, 2025March 11, 2024 by Maged kamel

Video for Iy for a Triangle. By adding the Iy values from case 1 and case 2 for right angles. How to find ix at the Cg?

18-Video for Ix for a triangle.

June 4, 2025March 11, 2024 by Maged kamel

Video for Ix for a Triangle. By adding the Ix values from case 1 and case 2 for right angles. How to find ix at the Cg?

17-Video for Ixy at CG-right-angle case 2.

June 4, 2025March 11, 2024 by Maged kamel

Video for Ixy at CG-right-angle case 2. using the parallel axes theorem we can derive an expression for Ixy at the Cg.

16-Video for a product of inertia-right-angle case 2.

March 25, 2025March 11, 2024 by Maged kamel

Video for a product of inertia-right-angle case 2. two methods are used to find the product of inertia for right-angle case 2.